Details

analyze50.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
46.2%	37.5%	43.7%	0.1%	18.7%	0%	0%	7
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	8
69.4%	53.1%	23.4%	0.1%	23.4%	0%	0%	9
76.5%	58.5%	18%	0.1%	23.4%	0%	0%	10
83.7%	62%	12.1%	0.1%	25.8%	0%	0%	11
87.6%	65%	9.2%	0.1%	25.8%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample683.0ms (17.4%)

Results

652.0ms	8256×	body	256	valid
21.0ms	239×	body	256	infinite

Bogosity

preprocess16.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

156×	`fma-def`
128×	`+-commutative`
108×	`associate-+r+`
108×	`associate-+l+`
94×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	37	46
2	93	46
3	150	46
4	217	46
5	449	46
6	494	46
7	553	46
8	729	46
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
(neg.f64 (.f64 (.f64 (*.f64 b b) a) a))

Outputs
(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(.f64 b (.f64 (*.f64 a a) (neg.f64 b)))
(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
(neg.f64 (.f64 (.f64 (*.f64 b b) a) a))
(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
(.f64 a (.f64 a (neg.f64 (*.f64 b b))))
(.f64 b (.f64 (*.f64 a a) (neg.f64 b)))
(.f64 a (.f64 b (*.f64 b (neg.f64 a))))

Symmetry

(sort a b)

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify24.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

144×	`fma-def`
102×	`+-commutative`
94×	`*-commutative`
78×	`associate-r`
62×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	23	23
2	60	23
3	127	23
4	182	23
5	315	23
6	400	23
7	449	23
8	543	23
9	584	23

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))

Outputs
(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(.f64 a (.f64 b (*.f64 b (neg.f64 a))))

eval1.0ms (0%)

Compiler: Compiled 34 to 17 computations (50% saved)

prune2.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Kept	Total
New	4	4
Fresh	1	1
Picked	0	0
Done	0	0
Total	5	5

Error

0.1b

Counts

5 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.7b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
▶	21.5b	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
▶	7.3b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
▶	16.5b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))

Compiler

Compiled 40 to 24 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.4b	(.f64 (.f64 (*.f64 a a) b) b)
✓	11.5b	(.f64 (.f64 a a) b)

Compiler

Compiled 27 to 6 computations (77.8% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 (.f64 a a) b)
0.0ms	a	@	0	(.f64 (.f64 a a) b)
0.0ms	b	@	0	(.f64 (.f64 a a) b)
0.0ms	a	@	inf	(.f64 (.f64 a a) b)
0.0ms	a	@	0	(.f64 (.f64 (*.f64 a a) b) b)

rewrite54.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`add-sqr-sqrt`
1302×	`*-un-lft-identity`
1204×	`add-cube-cbrt`
1182×	`add-cbrt-cube`
1170×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	141	26
2	1763	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 a a) b)
(.f64 (.f64 (*.f64 a a) b) b)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 a (.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 b b) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (.f64 a b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (.f64 a b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (*.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 b b) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 a b))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1494×	`associate-+r+`
1462×	`associate-l`
1436×	`associate-+l+`
1078×	`fma-def`
726×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	1120
1	144	910
2	655	910
3	3117	910

Stop Event

1×	node limit

Counts

70 → 26

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (+.f64 1 (.f64 a (.f64 a b))) 1)
(pow.f64 (.f64 a (.f64 a b)) 1)
(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 a b)) 3) 1/3)
(sqrt.f64 (.f64 (.f64 b b) (pow.f64 a 4)))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 a b)))
(cbrt.f64 (pow.f64 (.f64 a (.f64 a b)) 3))
(expm1.f64 (log1p.f64 (.f64 a (.f64 a b))))
(exp.f64 (log.f64 (.f64 a (.f64 a b))))
(log1p.f64 (expm1.f64 (.f64 a (.f64 a b))))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(-.f64 (+.f64 1 (.f64 a (.f64 a b))) 1)
(.f64 a (.f64 a b))
(pow.f64 (.f64 a (.f64 a b)) 1)
(.f64 a (.f64 a b))
(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
(.f64 a (.f64 a b))
(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
(.f64 a (.f64 a b))
(pow.f64 (pow.f64 (.f64 a (.f64 a b)) 3) 1/3)
(.f64 a (.f64 a b))
(sqrt.f64 (.f64 (.f64 b b) (pow.f64 a 4)))
(.f64 a (.f64 a b))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 a b)))
(.f64 a (.f64 a b))
(cbrt.f64 (pow.f64 (.f64 a (.f64 a b)) 3))
(.f64 a (.f64 a b))
(expm1.f64 (log1p.f64 (.f64 a (.f64 a b))))
(.f64 a (.f64 a b))
(exp.f64 (log.f64 (.f64 a (.f64 a b))))
(.f64 a (.f64 a b))
(log1p.f64 (expm1.f64 (.f64 a (.f64 a b))))
(.f64 a (.f64 a b))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 b (.f64 b (neg.f64 a)))
✓	7.0b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))

Compiler

Compiled 24 to 6 computations (75% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 b (.f64 b (neg.f64 a)))
0.0ms	a	@	0	(.f64 b (.f64 b (neg.f64 a)))
0.0ms	b	@	inf	(.f64 b (.f64 b (neg.f64 a)))
0.0ms	a	@	inf	(.f64 b (.f64 b (neg.f64 a)))
0.0ms	a	@	0	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`add-sqr-sqrt`
1514×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1374×	`add-cbrt-cube`
1358×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	184	26
2	2412	26

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
(.f64 b (.f64 b (neg.f64 a)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (.f64 a b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a b) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 a (.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 a (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (.f64 b b))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) b) b))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 b b))))))))

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1836×	`distribute-rgt-in`
1786×	`distribute-lft-in`
1160×	`associate-r`
968×	`associate-+r+`
964×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	1600
1	176	1306
2	741	1162
3	3341	1162

Stop Event

1×	node limit

Counts

74 → 38

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(-.f64 (+.f64 1 (.f64 a (.f64 b b))) 1)
(pow.f64 (.f64 a (.f64 b b)) 1)
(pow.f64 (*.f64 b (sqrt.f64 a)) 2)
(pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 b b)) 3) 1/3)
(neg.f64 (.f64 a (.f64 b b)))
(sqrt.f64 (pow.f64 (.f64 a (.f64 b b)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) b) b))
(cbrt.f64 (pow.f64 (.f64 a (.f64 b b)) 3))
(expm1.f64 (log1p.f64 (.f64 a (.f64 b b))))
(exp.f64 (log.f64 (.f64 a (.f64 b b))))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 b b))) 1))
(log1p.f64 (expm1.f64 (.f64 a (.f64 b b))))

Outputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(+.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(-.f64 (+.f64 1 (.f64 a (.f64 b b))) 1)
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(pow.f64 (.f64 a (.f64 b b)) 1)
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(pow.f64 (*.f64 b (sqrt.f64 a)) 2)
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 3)
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(pow.f64 (pow.f64 (.f64 a (.f64 b b)) 3) 1/3)
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(neg.f64 (.f64 a (.f64 b b)))
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 b (.f64 a (neg.f64 b)))
(sqrt.f64 (pow.f64 (.f64 a (.f64 b b)) 2))
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) b) b))
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(cbrt.f64 (pow.f64 (.f64 a (.f64 b b)) 3))
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(expm1.f64 (log1p.f64 (.f64 a (.f64 b b))))
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(exp.f64 (log.f64 (.f64 a (.f64 b b))))
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 b b))) 1))
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))
(log1p.f64 (expm1.f64 (.f64 a (.f64 b b))))
(+.f64 (+.f64 1 (.f64 a (.f64 b b))) -1)
(+.f64 (.f64 a (.f64 b b)) 0)
(.f64 b (.f64 a b))
(.f64 a (.f64 b b))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	21.1b	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))

Compiler

Compiled 22 to 6 computations (72.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
0.0ms	b	@	inf	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
0.0ms	a	@	inf	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
0.0ms	b	@	-inf	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`add-sqr-sqrt`
1502×	`*-un-lft-identity`
1390×	`add-cube-cbrt`
1372×	`add-cbrt-cube`
1358×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	185	13
2	2411	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 4) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1328×	`log-prod`
828×	`associate-r`
806×	`distribute-rgt-in`
776×	`distribute-lft-in`
684×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	898
1	93	670
2	475	598
3	2357	598

Stop Event

1×	node limit

Counts

38 → 18

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 0 (pow.f64 (*.f64 a b) 2))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(sqrt.f64 (*.f64 (pow.f64 b 4) (pow.f64 a 4)))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(-.f64 0 (pow.f64 (*.f64 a b) 2))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(sqrt.f64 (*.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(+.f64 (+.f64 (pow.f64 (*.f64 a b) 2) 1) -1)
(+.f64 (pow.f64 (*.f64 a b) 2) 0)
(pow.f64 (*.f64 a b) 2)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (.f64 a b))
✓	4.4b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))

Compiler

Compiled 22 to 6 computations (72.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
0.0ms	b	@	inf	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
0.0ms	a	@	inf	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
0.0ms	b	@	-inf	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
0.0ms	a	@	-inf	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))

rewrite52.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`add-sqr-sqrt`
1550×	`*-un-lft-identity`
1434×	`add-cube-cbrt`
1406×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	184	26
2	2416	26

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
(.f64 a (.f64 a b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 a b))))))))

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1396×	`associate-r`
1280×	`associate-+r+`
1212×	`associate-+l+`
1202×	`associate-l`
488×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	1248
1	156	1092
2	646	1092
3	3864	1092

Stop Event

1×	node limit

Counts

76 → 33

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(-.f64 0 (pow.f64 (*.f64 a b) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 a b)))) 1)
(pow.f64 (.f64 a (.f64 a b)) 1)
(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 a b)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 a (.f64 a b)) 2))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 a b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a b)))))
(cbrt.f64 (pow.f64 (.f64 a (.f64 a b)) 3))
(expm1.f64 (log1p.f64 (.f64 a (.f64 a b))))
(exp.f64 (log.f64 (.f64 a (.f64 a b))))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 a b))) 1))
(log1p.f64 (expm1.f64 (.f64 a (.f64 a b))))

Outputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(-.f64 0 (pow.f64 (*.f64 a b) 2))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(pow.f64 (*.f64 a b) 2)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 a b)))) 1)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(pow.f64 (.f64 a (.f64 a b)) 1)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(pow.f64 (pow.f64 (.f64 a (.f64 a b)) 3) 1/3)
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(sqrt.f64 (pow.f64 (.f64 a (.f64 a b)) 2))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 a b)))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a b)))))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(cbrt.f64 (pow.f64 (.f64 a (.f64 a b)) 3))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(expm1.f64 (log1p.f64 (.f64 a (.f64 a b))))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(exp.f64 (log.f64 (.f64 a (.f64 a b))))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 a b))) 1))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))
(log1p.f64 (expm1.f64 (.f64 a (.f64 a b))))
(.f64 (.f64 a a) b)
(.f64 a (.f64 a b))

eval18.0ms (0.4%)

Compiler: Compiled 995 to 487 computations (51.1% saved)

prune18.0ms (0.5%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	107	12	119

Error

0.0b

Counts

119 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	19.5b	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) (neg.f64 b))
✓	4.7b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
✓	21.5b	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
▶	18.1b	(.f64 (exp.f64 (log.f64 (.f64 a (*.f64 a b)))) (neg.f64 b))
▶	16.0b	(.f64 a (.f64 (neg.f64 a) (*.f64 b b)))
✓	7.3b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
	39.5b	(.f64 a (.f64 b (*.f64 a b)))
▶	39.5b	(.f64 a (.f64 a (*.f64 b b)))
▶	0.3b	(neg.f64 (pow.f64 (*.f64 a b) 2))
▶	0.8b	(neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3))
✓	16.5b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
	2.1b	(neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))))

Compiler

Compiled 200 to 134 computations (33% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 a b) 2)

Compiler

Compiled 19 to 9 computations (52.6% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(pow.f64 (*.f64 a b) 2)
0.0ms	a	@	0	(pow.f64 (*.f64 a b) 2)
0.0ms	b	@	-inf	(pow.f64 (*.f64 a b) 2)
0.0ms	b	@	0	(pow.f64 (*.f64 a b) 2)
0.0ms	a	@	inf	(pow.f64 (*.f64 a b) 2)

rewrite48.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`add-sqr-sqrt`
1218×	`*-un-lft-identity`
1128×	`add-cube-cbrt`
1114×	`add-cbrt-cube`
1102×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1658	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(pow.f64 (*.f64 a b) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 b (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 a (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a b) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a b)) (*.f64 (sqrt.f64 (*.f64 a b)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (*.f64 (cbrt.f64 (*.f64 a b)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (sqrt.f64 (*.f64 a b))) (sqrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-/l*`
1410×	`associate-r`
984×	`associate-l`
854×	`swap-sqr`
780×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	650
1	122	650
2	459	650
3	2611	650
4	5146	650

Stop Event

1×	node limit

Counts

46 → 24

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(.f64 a (.f64 b (*.f64 a b)))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 (pow.f64 (.f64 a b) 2) 1)
(.f64 1 (pow.f64 (.f64 a b) 2))
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) (*.f64 a b)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 b b) (*.f64 a a))
(.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b)))
(.f64 (.f64 (*.f64 a b) a) b)
(.f64 (.f64 (*.f64 a b) b) a)
(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
(sqrt.f64 (pow.f64 (*.f64 a b) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 a b))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(pow.f64 (*.f64 a b) 2)
(.f64 a (.f64 b (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 b (.f64 a (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a b) (*.f64 a b))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(.f64 1 (pow.f64 (.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (*.f64 a b) a) b)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (*.f64 a b) b) a)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 2 (log.f64 (.f64 a b))))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	7.0b	(.f64 a (.f64 a (*.f64 b b)))
✓	8.3b	(.f64 a (.f64 b b))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 a (.f64 b b))
0.0ms	a	@	-inf	(.f64 a (.f64 b b))
0.0ms	a	@	inf	(.f64 a (.f64 b b))
0.0ms	a	@	-inf	(.f64 a (.f64 a (*.f64 b b)))
0.0ms	a	@	inf	(.f64 a (.f64 a (*.f64 b b)))

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1206×	`add-cube-cbrt`
1184×	`add-cbrt-cube`
1172×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	141	26
2	1767	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 a (.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 b b))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate-+r+`
1360×	`associate-+l+`
1348×	`associate-r`
1146×	`associate-l`
660×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	1120
1	150	910
2	655	910
3	3726	910

Stop Event

1×	node limit

Counts

70 → 27

Calls

Call 1

Inputs
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (+.f64 1 (.f64 a (.f64 b b))) 1)
(pow.f64 (.f64 a (.f64 b b)) 1)
(pow.f64 (*.f64 b (sqrt.f64 a)) 2)
(pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 b b)) 3) 1/3)
(sqrt.f64 (.f64 (.f64 a a) (pow.f64 b 4)))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 b b)))
(cbrt.f64 (pow.f64 (.f64 a (.f64 b b)) 3))
(expm1.f64 (log1p.f64 (.f64 a (.f64 b b))))
(exp.f64 (log.f64 (.f64 a (.f64 b b))))
(log1p.f64 (expm1.f64 (.f64 a (.f64 b b))))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(-.f64 (+.f64 1 (.f64 a (.f64 b b))) 1)
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(pow.f64 (.f64 a (.f64 b b)) 1)
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(pow.f64 (*.f64 b (sqrt.f64 a)) 2)
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 3)
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(pow.f64 (pow.f64 (.f64 a (.f64 b b)) 3) 1/3)
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(sqrt.f64 (.f64 (.f64 a a) (pow.f64 b 4)))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 b b)))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(cbrt.f64 (pow.f64 (.f64 a (.f64 b b)) 3))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(expm1.f64 (log1p.f64 (.f64 a (.f64 b b))))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(exp.f64 (log.f64 (.f64 a (.f64 b b))))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(log1p.f64 (expm1.f64 (.f64 a (.f64 b b))))
(.f64 (.f64 a b) b)
(.f64 a (.f64 b b))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	7.0b	(.f64 a (.f64 (neg.f64 a) (*.f64 b b)))
✓	8.3b	(.f64 (neg.f64 a) (.f64 b b))

Compiler

Compiled 23 to 6 computations (73.9% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (neg.f64 a) (.f64 b b))
0.0ms	a	@	-inf	(.f64 (neg.f64 a) (.f64 b b))
0.0ms	a	@	inf	(.f64 (neg.f64 a) (.f64 b b))
0.0ms	b	@	inf	(.f64 (neg.f64 a) (.f64 b b))
0.0ms	a	@	0	(.f64 a (.f64 (neg.f64 a) (*.f64 b b)))

rewrite52.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`add-sqr-sqrt`
1526×	`*-un-lft-identity`
1414×	`add-cube-cbrt`
1390×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	185	26
2	2448	26

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

Inputs
(.f64 (neg.f64 a) (.f64 b b))
(.f64 a (.f64 (neg.f64 a) (*.f64 b b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a a) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 b b))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1866×	`distribute-rgt-in`
1816×	`distribute-lft-in`
1552×	`associate-+r+`
1462×	`associate-+l+`
740×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	1365
1	181	1215
2	800	1209
3	2584	1209

Stop Event

1×	node limit

Counts

77 → 37

Calls

Call 1

Inputs
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(-.f64 0 (.f64 a (.f64 b b)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 b b)))) 1)
(pow.f64 (.f64 a (.f64 b b)) 1)
(pow.f64 (*.f64 b (sqrt.f64 a)) 2)
(pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 b b)) 3) 1/3)
(neg.f64 (.f64 a (.f64 b b)))
(sqrt.f64 (.f64 (.f64 a a) (pow.f64 b 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) a))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 b b)))))
(cbrt.f64 (pow.f64 (.f64 a (.f64 b b)) 3))
(expm1.f64 (log1p.f64 (.f64 a (.f64 b b))))
(exp.f64 (log.f64 (.f64 a (.f64 b b))))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 b b))) 1))
(log1p.f64 (expm1.f64 (.f64 a (.f64 b b))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 a (pow.f64 b 2)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(-.f64 0 (.f64 a (.f64 b b)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 b b)))) 1)
(.f64 a (.f64 b b))
(pow.f64 (.f64 a (.f64 b b)) 1)
(.f64 a (.f64 b b))
(pow.f64 (*.f64 b (sqrt.f64 a)) 2)
(.f64 a (.f64 b b))
(pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 3)
(.f64 a (.f64 b b))
(pow.f64 (pow.f64 (.f64 a (.f64 b b)) 3) 1/3)
(.f64 a (.f64 b b))
(neg.f64 (.f64 a (.f64 b b)))
(.f64 a (neg.f64 (.f64 b b)))
(.f64 a (.f64 b (neg.f64 b)))
(sqrt.f64 (.f64 (.f64 a a) (pow.f64 b 4)))
(sqrt.f64 (.f64 a (.f64 a (pow.f64 b 4))))
(fabs.f64 (.f64 a (.f64 b b)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) a))
(.f64 a (.f64 b b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 b b)))))
(.f64 a (.f64 b b))
(cbrt.f64 (pow.f64 (.f64 a (.f64 b b)) 3))
(.f64 a (.f64 b b))
(expm1.f64 (log1p.f64 (.f64 a (.f64 b b))))
(.f64 a (.f64 b b))
(exp.f64 (log.f64 (.f64 a (.f64 b b))))
(.f64 a (.f64 b b))
(exp.f64 (.f64 (log.f64 (.f64 a (*.f64 b b))) 1))
(.f64 a (.f64 b b))
(log1p.f64 (expm1.f64 (.f64 a (.f64 b b))))
(.f64 a (.f64 b b))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(pow.f64 (*.f64 a b) 2)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(neg.f64 (.f64 (.f64 b b) (*.f64 a a)))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 a (.f64 a b))
✓	2.6b	(exp.f64 (log.f64 (.f64 a (.f64 a b))))
✓	3.2b	(.f64 (exp.f64 (log.f64 (.f64 a (*.f64 a b)))) (neg.f64 b))
✓	19.7b	(log.f64 (.f64 a (.f64 a b)))

Compiler

Compiled 37 to 8 computations (78.4% saved)

series62.0ms (1.6%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	a	@	0	(log.f64 (.f64 a (.f64 a b)))
14.0ms	b	@	0	(log.f64 (.f64 a (.f64 a b)))
14.0ms	b	@	-inf	(log.f64 (.f64 a (.f64 a b)))
6.0ms	a	@	inf	(log.f64 (.f64 a (.f64 a b)))
5.0ms	b	@	inf	(log.f64 (.f64 a (.f64 a b)))

rewrite64.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`add-sqr-sqrt`
1680×	`*-un-lft-identity`
1554×	`add-cube-cbrt`
1526×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	212	43
2	2564	43

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

Inputs
(log.f64 (.f64 a (.f64 a b)))
(.f64 (exp.f64 (log.f64 (.f64 a (*.f64 a b)))) (neg.f64 b))
(exp.f64 (log.f64 (.f64 a (.f64 a b))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 a b)) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 a) (log.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 a (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 a b))) 2)) (log.f64 (cbrt.f64 (*.f64 a (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 a (sqrt.f64 b))) (log.f64 (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 a a)) (log.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 a) 1) (*.f64 (log.f64 (*.f64 a b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 a (*.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 a (*.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 a (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 a (*.f64 a b)))) (sqrt.f64 (log.f64 (*.f64 a (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 a (*.f64 a b)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (*.f64 a b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (*.f64 a b)))) 2) (cbrt.f64 (log.f64 (*.f64 a (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 a) (log.f64 a)) (*.f64 (log.f64 (*.f64 a b)) (log.f64 (*.f64 a b)))) (-.f64 (log.f64 a) (log.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 (*.f64 a b)) 3)) (+.f64 (*.f64 (log.f64 a) (log.f64 a)) (-.f64 (*.f64 (log.f64 (*.f64 a b)) (log.f64 (*.f64 a b))) (*.f64 (log.f64 a) (log.f64 (*.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 a (*.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 a (*.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 a (*.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 a (*.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 a (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 a (*.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 a (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 a (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 a (*.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 a (*.f64 a b)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (sqrt.f64 b)) (*.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a b)) (*.f64 (sqrt.f64 (*.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 a b))) 2) (cbrt.f64 (*.f64 a (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (*.f64 (cbrt.f64 (*.f64 a b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (sqrt.f64 (*.f64 a b))) (sqrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a (*.f64 a b))))) (sqrt.f64 (log.f64 (*.f64 a (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a (*.f64 a b)))) 2)) (cbrt.f64 (log.f64 (*.f64 a (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 a (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) a) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 a b))))))))

simplify80.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1280×	`unswap-sqr`
1020×	`distribute-lft-in`
980×	`distribute-rgt-in`
704×	`+-commutative`
606×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	2832
1	447	2500
2	1765	2438
3	7226	2438

Stop Event

1×	node limit

Counts

146 → 100

Calls

Call 1

Inputs
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 -1 a))))
(+.f64 (log.f64 b) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (log.f64 (pow.f64 a 2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 2)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (.f64 -1 (pow.f64 a 2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (.f64 -1 (pow.f64 a 2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (.f64 -1 (pow.f64 a 2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (.f64 -1 (pow.f64 a 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(+.f64 (log.f64 (*.f64 a b)) (log.f64 a))
(+.f64 (log.f64 a) (log.f64 (*.f64 a b)))
(+.f64 0 (log.f64 (.f64 a (.f64 a b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 2)) (log.f64 (cbrt.f64 (.f64 a (.f64 a b)))))
(+.f64 (log.f64 (.f64 a (sqrt.f64 b))) (log.f64 (.f64 a (sqrt.f64 b))))
(+.f64 (log.f64 (*.f64 a a)) (log.f64 b))
(+.f64 (.f64 (log.f64 a) 1) (.f64 (log.f64 (*.f64 a b)) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 a (.f64 a b))))) 1)
(.f64 (log.f64 (.f64 a (*.f64 a b))) 1)
(.f64 1 (log.f64 (.f64 a (*.f64 a b))))
(.f64 (sqrt.f64 (log.f64 (.f64 a (.f64 a b)))) (sqrt.f64 (log.f64 (.f64 a (*.f64 a b)))))
(.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 a b)))) (pow.f64 (cbrt.f64 (log.f64 (.f64 a (*.f64 a b)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 a b)))) 2) (cbrt.f64 (log.f64 (.f64 a (*.f64 a b)))))
(/.f64 (-.f64 (.f64 (log.f64 a) (log.f64 a)) (.f64 (log.f64 (.f64 a b)) (log.f64 (.f64 a b)))) (-.f64 (log.f64 a) (log.f64 (*.f64 a b))))
(/.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 (.f64 a b)) 3)) (+.f64 (.f64 (log.f64 a) (log.f64 a)) (-.f64 (.f64 (log.f64 (.f64 a b)) (log.f64 (.f64 a b))) (.f64 (log.f64 a) (log.f64 (*.f64 a b))))))
(pow.f64 (log.f64 (.f64 a (.f64 a b))) 1)
(pow.f64 (sqrt.f64 (log.f64 (.f64 a (.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 a b)))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 a (.f64 a b))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (.f64 a (.f64 a b))) 2))
(cbrt.f64 (pow.f64 (log.f64 (.f64 a (.f64 a b))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 a (.f64 a b)))))
(exp.f64 (log.f64 (log.f64 (.f64 a (.f64 a b)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 a (*.f64 a b)))) 1))
(log1p.f64 (-.f64 (.f64 a (.f64 a b)) 1))
(-.f64 0 (pow.f64 (*.f64 a b) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 a b)))) 1)
(.f64 a (.f64 a b))
(.f64 b (.f64 a a))
(.f64 (.f64 a b) a)
(.f64 (.f64 a (*.f64 a b)) 1)
(.f64 1 (.f64 a (*.f64 a b)))
(.f64 (.f64 a (sqrt.f64 b)) (*.f64 a (sqrt.f64 b)))
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) a))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (*.f64 a b)))
(.f64 (cbrt.f64 (.f64 a (.f64 a b))) (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 2) (cbrt.f64 (.f64 a (*.f64 a b))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) a))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (*.f64 a b)))
(.f64 (.f64 a a) b)
(.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (.f64 a b)))
(.f64 (.f64 a (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (.f64 a b)))
(.f64 (.f64 (*.f64 a b) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (.f64 (*.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (.f64 (*.f64 a a) 1) b)
(.f64 (.f64 (*.f64 a a) (sqrt.f64 b)) (sqrt.f64 b))
(.f64 (.f64 (*.f64 a a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(pow.f64 (.f64 a (.f64 a b)) 1)
(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
(pow.f64 (pow.f64 (.f64 a (.f64 a b)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a (.f64 a b))))) (sqrt.f64 (log.f64 (.f64 a (.f64 a b)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 a b)))) 2)) (cbrt.f64 (log.f64 (.f64 a (.f64 a b)))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 a (.f64 a b))))
(sqrt.f64 (pow.f64 (.f64 a (.f64 a b)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) a) a))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a b)))))
(cbrt.f64 (pow.f64 (.f64 a (.f64 a b)) 3))
(expm1.f64 (log1p.f64 (.f64 a (.f64 a b))))
(log1p.f64 (expm1.f64 (.f64 a (.f64 a b))))

Outputs
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 -1 a))))
(fma.f64 -2 (log.f64 (/.f64 -1 a)) (log.f64 b))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 -1 a))))
(fma.f64 -2 (log.f64 (/.f64 -1 a)) (log.f64 b))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 -1 a))))
(fma.f64 -2 (log.f64 (/.f64 -1 a)) (log.f64 b))
(+.f64 (log.f64 b) (*.f64 -2 (log.f64 (/.f64 -1 a))))
(fma.f64 -2 (log.f64 (/.f64 -1 a)) (log.f64 b))
(+.f64 (log.f64 b) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 b) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 2)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (.f64 -1 (pow.f64 a 2))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 (*.f64 a a))))
(-.f64 (log.f64 (*.f64 a (neg.f64 a))) (log.f64 (/.f64 -1 b)))
(-.f64 (log.f64 (neg.f64 (*.f64 a a))) (log.f64 (/.f64 -1 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (.f64 -1 (pow.f64 a 2))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 (*.f64 a a))))
(-.f64 (log.f64 (*.f64 a (neg.f64 a))) (log.f64 (/.f64 -1 b)))
(-.f64 (log.f64 (neg.f64 (*.f64 a a))) (log.f64 (/.f64 -1 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (.f64 -1 (pow.f64 a 2))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 (*.f64 a a))))
(-.f64 (log.f64 (*.f64 a (neg.f64 a))) (log.f64 (/.f64 -1 b)))
(-.f64 (log.f64 (neg.f64 (*.f64 a a))) (log.f64 (/.f64 -1 b)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b))) (log.f64 (.f64 -1 (pow.f64 a 2))))
(fma.f64 -1 (log.f64 (/.f64 -1 b)) (log.f64 (neg.f64 (*.f64 a a))))
(-.f64 (log.f64 (*.f64 a (neg.f64 a))) (log.f64 (/.f64 -1 b)))
(-.f64 (log.f64 (neg.f64 (*.f64 a a))) (log.f64 (/.f64 -1 b)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(+.f64 (log.f64 (*.f64 a b)) (log.f64 a))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 a) (log.f64 (*.f64 a b)))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 0 (log.f64 (.f64 a (.f64 a b))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 2)) (log.f64 (cbrt.f64 (.f64 a (.f64 a b)))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 (.f64 a (sqrt.f64 b))) (log.f64 (.f64 a (sqrt.f64 b))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (log.f64 (*.f64 a a)) (log.f64 b))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(+.f64 (.f64 (log.f64 a) 1) (.f64 (log.f64 (*.f64 a b)) 1))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 a (.f64 a b))))) 1)
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(.f64 (log.f64 (.f64 a (*.f64 a b))) 1)
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(.f64 1 (log.f64 (.f64 a (*.f64 a b))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(.f64 (sqrt.f64 (log.f64 (.f64 a (.f64 a b)))) (sqrt.f64 (log.f64 (.f64 a (*.f64 a b)))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 a b)))) (pow.f64 (cbrt.f64 (log.f64 (.f64 a (*.f64 a b)))) 2))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 a b)))) 2) (cbrt.f64 (log.f64 (.f64 a (*.f64 a b)))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(/.f64 (-.f64 (.f64 (log.f64 a) (log.f64 a)) (.f64 (log.f64 (.f64 a b)) (log.f64 (.f64 a b)))) (-.f64 (log.f64 a) (log.f64 (*.f64 a b))))
(/.f64 (.f64 (log.f64 (.f64 b (.f64 a a))) (-.f64 (log.f64 a) (log.f64 (.f64 b a)))) (-.f64 (log.f64 a) (log.f64 (*.f64 b a))))
(/.f64 (log.f64 (.f64 b (.f64 a a))) 1)
(/.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 (.f64 a b)) 3)) (+.f64 (.f64 (log.f64 a) (log.f64 a)) (-.f64 (.f64 (log.f64 (.f64 a b)) (log.f64 (.f64 a b))) (.f64 (log.f64 a) (log.f64 (*.f64 a b))))))
(/.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 (.f64 b a)) 3)) (fma.f64 (log.f64 a) (log.f64 a) (.f64 (log.f64 (.f64 b a)) (-.f64 (log.f64 (.f64 b a)) (log.f64 a)))))
(/.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 (.f64 b a)) 3)) (fma.f64 (log.f64 (.f64 b a)) (-.f64 (log.f64 (.f64 b a)) (log.f64 a)) (.f64 (log.f64 a) (log.f64 a))))
(/.f64 (+.f64 (pow.f64 (log.f64 a) 3) (pow.f64 (log.f64 (.f64 b a)) 3)) (fma.f64 (log.f64 b) (log.f64 (.f64 b a)) (*.f64 (log.f64 a) (log.f64 a))))
(pow.f64 (log.f64 (.f64 a (.f64 a b))) 1)
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(pow.f64 (sqrt.f64 (log.f64 (.f64 a (.f64 a b)))) 2)
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(pow.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 a b)))) 3)
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(pow.f64 (pow.f64 (log.f64 (.f64 a (.f64 a b))) 3) 1/3)
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(sqrt.f64 (pow.f64 (log.f64 (.f64 a (.f64 a b))) 2))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(cbrt.f64 (pow.f64 (log.f64 (.f64 a (.f64 a b))) 3))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(expm1.f64 (log1p.f64 (log.f64 (.f64 a (.f64 a b)))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(exp.f64 (log.f64 (log.f64 (.f64 a (.f64 a b)))))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 a (*.f64 a b)))) 1))
(+.f64 (log.f64 b) (*.f64 2 (log.f64 a)))
(log.f64 (.f64 b (.f64 a a)))
(log1p.f64 (-.f64 (.f64 a (.f64 a b)) 1))
(log1p.f64 (fma.f64 a (*.f64 b a) -1))
(log1p.f64 (fma.f64 b (*.f64 a a) -1))
(-.f64 0 (pow.f64 (*.f64 a b) 2))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 b a) 2)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 b a) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (*.f64 b a) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(pow.f64 (*.f64 b a) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (*.f64 b a) 2)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 (neg.f64 (.f64 a a)) (*.f64 b b))
(neg.f64 (pow.f64 (*.f64 b a) 2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(pow.f64 (*.f64 b a) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 b a) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(pow.f64 (*.f64 b a) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(pow.f64 (*.f64 b a) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 b a) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 b a) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(pow.f64 (*.f64 b a) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 b a) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 a (.f64 a b)))) 1)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 b (.f64 a a))
(.f64 b (.f64 a a))
(.f64 (.f64 a b) a)
(.f64 b (.f64 a a))
(.f64 (.f64 a (*.f64 a b)) 1)
(.f64 b (.f64 a a))
(.f64 1 (.f64 a (*.f64 a b)))
(.f64 b (.f64 a a))
(.f64 (.f64 a (sqrt.f64 b)) (*.f64 a (sqrt.f64 b)))
(.f64 b (.f64 a a))
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) a))
(.f64 b (.f64 a a))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (*.f64 a b)))
(.f64 b (.f64 a a))
(.f64 (cbrt.f64 (.f64 a (.f64 a b))) (pow.f64 (cbrt.f64 (.f64 a (*.f64 a b))) 2))
(.f64 b (.f64 a a))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 2) (cbrt.f64 (.f64 a (*.f64 a b))))
(.f64 b (.f64 a a))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) a))
(.f64 b (.f64 a a))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (*.f64 a b)))
(.f64 b (.f64 a a))
(.f64 (.f64 a a) b)
(.f64 b (.f64 a a))
(.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (.f64 a b)))
(.f64 b (.f64 a a))
(.f64 (.f64 a (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (.f64 a b)))
(.f64 b (.f64 a a))
(.f64 (.f64 (*.f64 a b) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 b (.f64 a a))
(.f64 (.f64 (*.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 b (.f64 a a))
(.f64 (.f64 (*.f64 a a) 1) b)
(.f64 b (.f64 a a))
(.f64 (.f64 (*.f64 a a) (sqrt.f64 b)) (sqrt.f64 b))
(.f64 b (.f64 a a))
(.f64 (.f64 (*.f64 a a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 b (.f64 a a))
(pow.f64 (.f64 a (.f64 a b)) 1)
(.f64 b (.f64 a a))
(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
(.f64 b (.f64 a a))
(pow.f64 (cbrt.f64 (.f64 a (.f64 a b))) 3)
(.f64 b (.f64 a a))
(pow.f64 (pow.f64 (.f64 a (.f64 a b)) 3) 1/3)
(.f64 b (.f64 a a))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a (.f64 a b))))) (sqrt.f64 (log.f64 (.f64 a (.f64 a b)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 b (.f64 a a))))) (sqrt.f64 (log.f64 (.f64 b (.f64 a a)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (.f64 a b)))) 2)) (cbrt.f64 (log.f64 (.f64 a (.f64 a b)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 b (.f64 a a)))) 2)) (cbrt.f64 (log.f64 (.f64 b (.f64 a a)))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 a (.f64 a b))))
(pow.f64 (E.f64) (log.f64 (.f64 b (.f64 a a))))
(sqrt.f64 (pow.f64 (.f64 a (.f64 a b)) 2))
(.f64 b (.f64 a a))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) a) a))
(.f64 b (.f64 a a))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (.f64 a b)))))
(.f64 b (.f64 a a))
(cbrt.f64 (pow.f64 (.f64 a (.f64 a b)) 3))
(.f64 b (.f64 a a))
(expm1.f64 (log1p.f64 (.f64 a (.f64 a b))))
(.f64 b (.f64 a a))
(log1p.f64 (expm1.f64 (.f64 a (.f64 a b))))
(.f64 b (.f64 a a))

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (*.f64 a b) 2)
✓	0.4b	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
✓	19.3b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

Compiler

Compiled 37 to 21 computations (43.2% saved)

series4.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
0.0ms	b	@	0	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
0.0ms	b	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
0.0ms	a	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)
0.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`add-sqr-sqrt`
1662×	`*-un-lft-identity`
1560×	`add-cube-cbrt`
1542×	`add-cbrt-cube`
190×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	229	30
2	2387	30

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a b)) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a a) 1/3) (pow.f64 (*.f64 b b) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 a b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 b (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 a (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a b) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a b)) (*.f64 (cbrt.f64 (*.f64 a b)) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a b)) (*.f64 (sqrt.f64 (*.f64 a b)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (sqrt.f64 (*.f64 a b))) (sqrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) (cbrt.f64 (*.f64 a b))) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify51.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1446×	`distribute-lft-in`
1440×	`distribute-rgt-in`
500×	`*-commutative`
470×	`unswap-sqr`
418×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	112	1197
1	228	1165
2	876	1165
3	2367	1165

Stop Event

1×	node limit

Counts

53 → 56

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) 1)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (*.f64 a b)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(.f64 (pow.f64 (.f64 a a) 1/3) (pow.f64 (*.f64 b b) 1/3))
(pow.f64 (*.f64 a b) 2/3)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 a b))) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(.f64 a (.f64 b (*.f64 a b)))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 (pow.f64 (.f64 a b) 2) 1)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 1 (pow.f64 (.f64 a b) 2))
(.f64 (cbrt.f64 (.f64 a b)) (.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) (*.f64 a b)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (.f64 b b) (*.f64 a a))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b)))
(.f64 (.f64 (*.f64 a b) a) b)
(.f64 (.f64 (*.f64 a b) b) a)
(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) 1) (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) 3) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(sqrt.f64 (pow.f64 (*.f64 a b) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 a b))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 a b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (*.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1/3))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (pow.f64 (.f64 a a) 1/3) (pow.f64 (*.f64 b b) 1/3))
(.f64 (cbrt.f64 (.f64 a a)) (cbrt.f64 (*.f64 b b)))
(pow.f64 (*.f64 a b) 2/3)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 3)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 a b))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 1))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(.f64 a (.f64 b (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 b (.f64 a (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a b) (*.f64 a b))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 1 (pow.f64 (.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (cbrt.f64 (.f64 a b)) (.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 4))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (*.f64 a b) a) b)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (*.f64 a b) b) a)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) 1) (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 4))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) 3) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(sqrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 2 (log.f64 (.f64 a b))))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 a b))) 1))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)

eval49.0ms (1.3%)

Compiler: Compiled 3252 to 1416 computations (56.5% saved)

prune44.0ms (1.1%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	272	12	284
Fresh	2	1	3
Picked	1	0	1
Done	2	6	8
Total	277	19	296

Error

0.0b

Counts

296 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.5b	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) (neg.f64 b))
	5.2b	(.f64 (.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) (neg.f64 b))
▶	31.9b	(.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))) (neg.f64 b))
	39.7b	(.f64 (.f64 b b) (*.f64 a a))
✓	4.7b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
✓	18.1b	(.f64 (exp.f64 (log.f64 (.f64 a (*.f64 a b)))) (neg.f64 b))
▶	39.5b	(.f64 a (.f64 (*.f64 a b) b))
✓	16.0b	(.f64 a (.f64 (neg.f64 a) (*.f64 b b)))
✓	7.3b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
✓	39.5b	(.f64 a (.f64 a (*.f64 b b)))
	1.2b	(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3))
	16.4b	(neg.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3))
	7.7b	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3))
	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))))
▶	0.8b	(neg.f64 (.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b))))
	29.5b	(neg.f64 (.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))))
✓	16.5b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	16.2b	(neg.f64 (sqrt.f64 (pow.f64 (*.f64 a b) 4)))

Compiler

Compiled 397 to 239 computations (39.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 a b) (*.f64 a b))

Compiler

Compiled 22 to 5 computations (77.3% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 (.f64 a b) (*.f64 a b))
0.0ms	a	@	inf	(.f64 (.f64 a b) (*.f64 a b))
0.0ms	a	@	-inf	(.f64 (.f64 a b) (*.f64 a b))
0.0ms	b	@	-inf	(.f64 (.f64 a b) (*.f64 a b))
0.0ms	b	@	inf	(.f64 (.f64 a b) (*.f64 a b))

rewrite47.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1176×	`add-sqr-sqrt`
1164×	`*-un-lft-identity`
1092×	`pow1`
1078×	`add-cube-cbrt`
1060×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	123	13
2	1534	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 a b) (*.f64 a b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify51.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1074×	`log-prod`
840×	`*-commutative`
592×	`exp-sum`
468×	`distribute-rgt-in`
458×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	665
1	80	455
2	317	455
3	1198	455
4	4596	455

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a b) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (*.f64 a b) 4))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 a b) b)
✓	7.0b	(.f64 a (.f64 (*.f64 a b) b))

Compiler

Compiled 19 to 5 computations (73.7% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(.f64 a (.f64 (*.f64 a b) b))
0.0ms	a	@	inf	(.f64 a (.f64 (*.f64 a b) b))
0.0ms	a	@	-inf	(.f64 a (.f64 (*.f64 a b) b))
0.0ms	b	@	-inf	(.f64 a (.f64 (*.f64 a b) b))
0.0ms	b	@	inf	(.f64 a (.f64 (*.f64 a b) b))

rewrite52.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`add-sqr-sqrt`
1332×	`*-un-lft-identity`
1230×	`add-cube-cbrt`
1204×	`add-cbrt-cube`
1192×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	141	26
2	1781	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 a (.f64 (*.f64 a b) b))
(.f64 (.f64 a b) b)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (*.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 a) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (*.f64 a b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (*.f64 a b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 a b))))))))

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1676×	`log-prod`
1034×	`fma-def`
1010×	`associate-+r+`
972×	`associate-+l+`
954×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	1120
1	143	910
2	572	910
3	2843	910

Stop Event

1×	node limit

Counts

70 → 26

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(*.f64 a (pow.f64 b 2))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(-.f64 (+.f64 1 (.f64 b (.f64 a b))) 1)
(pow.f64 (.f64 b (.f64 a b)) 1)
(pow.f64 (*.f64 (sqrt.f64 a) b) 2)
(pow.f64 (cbrt.f64 (.f64 b (.f64 a b))) 3)
(pow.f64 (pow.f64 (.f64 b (.f64 a b)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 b (.f64 a b)) 2))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 b b)))
(cbrt.f64 (pow.f64 (.f64 b (.f64 a b)) 3))
(expm1.f64 (log1p.f64 (.f64 b (.f64 a b))))
(exp.f64 (log.f64 (.f64 b (.f64 a b))))
(log1p.f64 (expm1.f64 (.f64 b (.f64 a b))))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(*.f64 a (pow.f64 b 2))
(.f64 a (.f64 b b))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 2)) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(-.f64 (+.f64 1 (.f64 b (.f64 a b))) 1)
(.f64 a (.f64 b b))
(pow.f64 (.f64 b (.f64 a b)) 1)
(.f64 a (.f64 b b))
(pow.f64 (*.f64 (sqrt.f64 a) b) 2)
(.f64 a (.f64 b b))
(pow.f64 (cbrt.f64 (.f64 b (.f64 a b))) 3)
(.f64 a (.f64 b b))
(pow.f64 (pow.f64 (.f64 b (.f64 a b)) 3) 1/3)
(.f64 a (.f64 b b))
(sqrt.f64 (pow.f64 (.f64 b (.f64 a b)) 2))
(.f64 a (.f64 b b))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 b b)))
(.f64 a (.f64 b b))
(cbrt.f64 (pow.f64 (.f64 b (.f64 a b)) 3))
(.f64 a (.f64 b b))
(expm1.f64 (log1p.f64 (.f64 b (.f64 a b))))
(.f64 a (.f64 b b))
(exp.f64 (log.f64 (.f64 b (.f64 a b))))
(.f64 a (.f64 b b))
(log1p.f64 (expm1.f64 (.f64 b (.f64 a b))))
(.f64 a (.f64 b b))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a (sqrt.f64 b))
✓	0.3b	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
✓	3.2b	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) (neg.f64 b))

Compiler

Compiled 28 to 11 computations (60.7% saved)

series6.0ms (0.2%)

Counts

3 → 36

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) (neg.f64 b))
1.0ms	b	@	-inf	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
1.0ms	b	@	0	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
1.0ms	a	@	0	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
0.0ms	a	@	inf	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)

rewrite64.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`add-sqr-sqrt`
1778×	`*-un-lft-identity`
1650×	`add-cube-cbrt`
1628×	`add-cbrt-cube`
214×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	227	43
2	2775	43

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) (neg.f64 b))
(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
(*.f64 a (sqrt.f64 b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 a a) (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a a) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 b) (*.f64 a (sqrt.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 a a) (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a a) (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 a a) (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a a) (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a a) (*.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 a a) (*.f64 b b))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 (sqrt.f64 b) (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 a (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (sqrt.f64 b)) (*.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (*.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 b) (*.f64 a (sqrt.f64 b))) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (sqrt.f64 b))) (*.f64 (sqrt.f64 (*.f64 a (sqrt.f64 b))) (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (*.f64 a a))) (cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b (*.f64 a a))) (*.f64 (cbrt.f64 (*.f64 a (sqrt.f64 b))) (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 4)) (cbrt.f64 (*.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (sqrt.f64 b)) (sqrt.f64 (*.f64 a (sqrt.f64 b)))) (sqrt.f64 (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (sqrt.f64 b)) a) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (sqrt.f64 b)) (cbrt.f64 (*.f64 b (*.f64 a a)))) (cbrt.f64 (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 a a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (*.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 a a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (sqrt.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 a a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (sqrt.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (sqrt.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 b (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 a (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (sqrt.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (sqrt.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (sqrt.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (sqrt.f64 b))))))))

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-*r/`
1006×	`associate-*l/`
662×	`*-commutative`
602×	`associate-/r*`
544×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	121	1618
1	287	1364
2	1438	1364
3	4310	1364

Stop Event

1×	node limit

Counts

90 → 67

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(-.f64 0 (.f64 (.f64 a a) (*.f64 b b)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a a) (*.f64 b b)))) 1)
(pow.f64 (.f64 (.f64 a a) (*.f64 b b)) 1)
(pow.f64 (.f64 (sqrt.f64 b) (.f64 a (sqrt.f64 b))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a a) (*.f64 b b))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 b b)) 3) 1/3)
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(sqrt.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 b b)) 2))
(log.f64 (pow.f64 (exp.f64 b) (.f64 b (.f64 a a))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a a) (*.f64 b b)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 b b)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 a a) (*.f64 b b))))
(exp.f64 (log.f64 (.f64 (.f64 a a) (*.f64 b b))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 a a) (.f64 b b))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a a) (*.f64 b b))))
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 a a)))) 1)
(.f64 a (.f64 (sqrt.f64 b) (*.f64 a (sqrt.f64 b))))
(.f64 b (.f64 a a))
(.f64 (sqrt.f64 b) (.f64 a (*.f64 a (sqrt.f64 b))))
(.f64 (.f64 a (sqrt.f64 b)) (*.f64 a (sqrt.f64 b)))
(.f64 (.f64 b (*.f64 a a)) 1)
(.f64 1 (.f64 b (*.f64 a a)))
(.f64 (.f64 (sqrt.f64 b) (*.f64 a (sqrt.f64 b))) a)
(.f64 (sqrt.f64 (.f64 a (sqrt.f64 b))) (.f64 (sqrt.f64 (.f64 a (sqrt.f64 b))) (*.f64 a (sqrt.f64 b))))
(.f64 (cbrt.f64 (.f64 b (.f64 a a))) (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))
(.f64 (cbrt.f64 (.f64 b (.f64 a a))) (.f64 (cbrt.f64 (.f64 a (sqrt.f64 b))) (.f64 a (sqrt.f64 b))))
(.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)) (cbrt.f64 (.f64 b (.f64 a a))))
(.f64 (.f64 a a) b)
(.f64 (.f64 (.f64 a (sqrt.f64 b)) (sqrt.f64 (.f64 a (sqrt.f64 b)))) (sqrt.f64 (*.f64 a (sqrt.f64 b))))
(.f64 (.f64 (*.f64 a (sqrt.f64 b)) a) (sqrt.f64 b))
(.f64 (.f64 (.f64 a (sqrt.f64 b)) (cbrt.f64 (.f64 b (.f64 a a)))) (cbrt.f64 (.f64 a (sqrt.f64 b))))
(sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 4))
(log.f64 (pow.f64 (exp.f64 (*.f64 a a)) b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 a a)))))
(cbrt.f64 (pow.f64 (.f64 b (.f64 a a)) 3))
(expm1.f64 (log1p.f64 (.f64 b (.f64 a a))))
(exp.f64 (log.f64 (.f64 b (.f64 a a))))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 a a))) 1))
(log1p.f64 (expm1.f64 (.f64 b (.f64 a a))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (sqrt.f64 b)))) 1)
(pow.f64 (*.f64 a (sqrt.f64 b)) 1)
(pow.f64 (.f64 b (.f64 a a)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 a (sqrt.f64 b))) 2)
(pow.f64 (cbrt.f64 (*.f64 a (sqrt.f64 b))) 3)
(pow.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 3) 1/3)
(sqrt.f64 (.f64 b (.f64 a a)))
(fabs.f64 (*.f64 a (sqrt.f64 b)))
(log.f64 (pow.f64 (exp.f64 a) (sqrt.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (sqrt.f64 b)))))
(cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (sqrt.f64 b))))
(exp.f64 (log.f64 (*.f64 a (sqrt.f64 b))))
(exp.f64 (.f64 (log.f64 (.f64 a (sqrt.f64 b))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (sqrt.f64 b))))

Outputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(-.f64 0 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a a) (*.f64 b b)))) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (.f64 (.f64 a a) (*.f64 b b)) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (.f64 (sqrt.f64 b) (.f64 a (sqrt.f64 b))) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a a) (*.f64 b b))) 3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 b b)) 3) 1/3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(sqrt.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 b b)) 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (pow.f64 (exp.f64 b) (.f64 b (.f64 a a))))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a a) (*.f64 b b)))))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (.f64 (.f64 a a) (*.f64 b b)) 3))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (.f64 (.f64 a a) (*.f64 b b))))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (.f64 (.f64 a a) (*.f64 b b))))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (.f64 (.f64 a a) (.f64 b b))) 1))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (.f64 (.f64 a a) (*.f64 b b))))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 b (.f64 a a)))) 1)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 a (.f64 (sqrt.f64 b) (*.f64 a (sqrt.f64 b))))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 (sqrt.f64 b) (.f64 a (*.f64 a (sqrt.f64 b))))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 (.f64 a (sqrt.f64 b)) (*.f64 a (sqrt.f64 b)))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 (.f64 b (*.f64 a a)) 1)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 1 (.f64 b (*.f64 a a)))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 (.f64 (sqrt.f64 b) (*.f64 a (sqrt.f64 b))) a)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 (sqrt.f64 (.f64 a (sqrt.f64 b))) (.f64 (sqrt.f64 (.f64 a (sqrt.f64 b))) (*.f64 a (sqrt.f64 b))))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 (cbrt.f64 (.f64 b (.f64 a a))) (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))
(.f64 (cbrt.f64 (.f64 a (.f64 a b))) (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))
(.f64 (cbrt.f64 (.f64 b (.f64 a a))) (.f64 (cbrt.f64 (.f64 a (sqrt.f64 b))) (.f64 a (sqrt.f64 b))))
(.f64 (cbrt.f64 (.f64 b (.f64 a a))) (.f64 (.f64 a (sqrt.f64 b)) (cbrt.f64 (.f64 a (sqrt.f64 b)))))
(.f64 (cbrt.f64 (.f64 a (.f64 a b))) (pow.f64 (cbrt.f64 (.f64 a (sqrt.f64 b))) 4))
(.f64 (cbrt.f64 (.f64 b (.f64 a a))) (pow.f64 (cbrt.f64 (.f64 a (sqrt.f64 b))) 4))
(.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)) (cbrt.f64 (.f64 b (.f64 a a))))
(.f64 (cbrt.f64 (.f64 b (.f64 a a))) (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))
(.f64 (cbrt.f64 (.f64 a (.f64 a b))) (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 4)))
(.f64 (.f64 a a) b)
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 (.f64 (.f64 a (sqrt.f64 b)) (sqrt.f64 (.f64 a (sqrt.f64 b)))) (sqrt.f64 (*.f64 a (sqrt.f64 b))))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 (.f64 (*.f64 a (sqrt.f64 b)) a) (sqrt.f64 b))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(.f64 (.f64 (.f64 a (sqrt.f64 b)) (cbrt.f64 (.f64 b (.f64 a a)))) (cbrt.f64 (.f64 a (sqrt.f64 b))))
(.f64 (cbrt.f64 (.f64 b (.f64 a a))) (.f64 (.f64 a (sqrt.f64 b)) (cbrt.f64 (.f64 a (sqrt.f64 b)))))
(.f64 (cbrt.f64 (.f64 a (.f64 a b))) (pow.f64 (cbrt.f64 (.f64 a (sqrt.f64 b))) 4))
(.f64 (cbrt.f64 (.f64 b (.f64 a a))) (pow.f64 (cbrt.f64 (.f64 a (sqrt.f64 b))) 4))
(sqrt.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 4))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(log.f64 (pow.f64 (exp.f64 (*.f64 a a)) b))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 b (.f64 a a)))))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(cbrt.f64 (pow.f64 (.f64 b (.f64 a a)) 3))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(expm1.f64 (log1p.f64 (.f64 b (.f64 a a))))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(exp.f64 (log.f64 (.f64 b (.f64 a a))))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(exp.f64 (.f64 (log.f64 (.f64 b (*.f64 a a))) 1))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(log1p.f64 (expm1.f64 (.f64 b (.f64 a a))))
(.f64 b (.f64 a a))
(.f64 a (.f64 a b))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (sqrt.f64 b)))) 1)
(*.f64 a (sqrt.f64 b))
(pow.f64 (*.f64 a (sqrt.f64 b)) 1)
(*.f64 a (sqrt.f64 b))
(pow.f64 (.f64 b (.f64 a a)) 1/2)
(*.f64 a (sqrt.f64 b))
(pow.f64 (sqrt.f64 (*.f64 a (sqrt.f64 b))) 2)
(*.f64 a (sqrt.f64 b))
(pow.f64 (cbrt.f64 (*.f64 a (sqrt.f64 b))) 3)
(*.f64 a (sqrt.f64 b))
(pow.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 3) 1/3)
(*.f64 a (sqrt.f64 b))
(sqrt.f64 (.f64 b (.f64 a a)))
(*.f64 a (sqrt.f64 b))
(fabs.f64 (*.f64 a (sqrt.f64 b)))
(*.f64 a (sqrt.f64 b))
(log.f64 (pow.f64 (exp.f64 a) (sqrt.f64 b)))
(*.f64 a (sqrt.f64 b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (sqrt.f64 b)))))
(*.f64 a (sqrt.f64 b))
(cbrt.f64 (pow.f64 (*.f64 a (sqrt.f64 b)) 3))
(*.f64 a (sqrt.f64 b))
(expm1.f64 (log1p.f64 (*.f64 a (sqrt.f64 b))))
(*.f64 a (sqrt.f64 b))
(exp.f64 (log.f64 (*.f64 a (sqrt.f64 b))))
(*.f64 a (sqrt.f64 b))
(exp.f64 (.f64 (log.f64 (.f64 a (sqrt.f64 b))) 1))
(*.f64 a (sqrt.f64 b))
(log1p.f64 (expm1.f64 (*.f64 a (sqrt.f64 b))))
(*.f64 a (sqrt.f64 b))

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (.f64 a b)))
✓	0.1b	(.f64 a (sqrt.f64 (.f64 a b)))
✓	2.5b	(.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))) (neg.f64 b))
✓	9.5b	(sqrt.f64 (*.f64 a b))

Compiler

Compiled 44 to 8 computations (81.8% saved)

series7.0ms (0.2%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))) (neg.f64 b))
1.0ms	a	@	0	(.f64 a (sqrt.f64 (.f64 a b)))
1.0ms	a	@	-inf	(.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (.f64 a b)))
0.0ms	b	@	0	(.f64 a (sqrt.f64 (.f64 a b)))
0.0ms	b	@	-inf	(sqrt.f64 (*.f64 a b))

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`add-sqr-sqrt`
1920×	`*-un-lft-identity`
1780×	`add-cube-cbrt`
1744×	`add-cbrt-cube`
220×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	224	54
2	2926	54

Stop Event

1×	node limit

Counts

4 → 66

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 a b))
(.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))) (neg.f64 b))
(.f64 a (sqrt.f64 (.f64 a b)))
(.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (.f64 a b)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 b) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a b) 1/4) (pow.f64 (.f64 a b) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 a b))) (cbrt.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (sqrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 a b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a b) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a b) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a b) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a b) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 a b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a b) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (sqrt.f64 (.f64 a b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 (.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (sqrt.f64 (.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (sqrt.f64 (.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (sqrt.f64 (.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 a (.f64 (.f64 a a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 a b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (sqrt.f64 (.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 (.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (sqrt.f64 (.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (sqrt.f64 (.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (sqrt.f64 (.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (sqrt.f64 (*.f64 a b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a a) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 a a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 a a) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 a a) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 a a) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (.f64 a a) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 a a) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 a a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 a a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 a a) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 a a) b)))))))

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1262×	`unswap-sqr`
706×	`distribute-lft-neg-in`
644×	`distribute-rgt-neg-in`
558×	`*-commutative`
522×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1942
1	318	1696
2	1365	1688
3	4899	1532

Stop Event

1×	node limit

Counts

114 → 77

Calls

Call 1

Inputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(*.f64 (pow.f64 a 2) b)
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a b)))) 1)
(.f64 (sqrt.f64 (.f64 a b)) 1)
(.f64 1 (sqrt.f64 (.f64 a b)))
(*.f64 (sqrt.f64 b) (sqrt.f64 a))
(.f64 (pow.f64 (.f64 a b) 1/4) (pow.f64 (*.f64 a b) 1/4))
(*.f64 (sqrt.f64 a) (sqrt.f64 b))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b)))
(.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (sqrt.f64 (*.f64 a b))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 a b)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a b)) 1/2))
(pow.f64 (*.f64 a b) 1/2)
(pow.f64 (sqrt.f64 (*.f64 a b)) 1)
(pow.f64 (pow.f64 (*.f64 a b) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a b))) 3)
(pow.f64 (pow.f64 (*.f64 a b) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 a b)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a b)))))
(cbrt.f64 (pow.f64 (*.f64 a b) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a b))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 a b))))
(exp.f64 (.f64 (log.f64 (.f64 a b)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a b))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a b))))
(-.f64 0 (pow.f64 (*.f64 a b) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a (sqrt.f64 (.f64 a b))))) 1)
(pow.f64 (.f64 a (sqrt.f64 (.f64 a b))) 1)
(pow.f64 (sqrt.f64 (.f64 a (sqrt.f64 (.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (.f64 a (sqrt.f64 (.f64 a b)))) 3)
(pow.f64 (pow.f64 (.f64 a (sqrt.f64 (.f64 a b))) 3) 1/3)
(sqrt.f64 (.f64 a (.f64 (*.f64 a a) b)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a b))) a))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (sqrt.f64 (.f64 a b))))))
(cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 (.f64 a b))) 3))
(expm1.f64 (log1p.f64 (.f64 a (sqrt.f64 (.f64 a b)))))
(exp.f64 (log.f64 (.f64 a (sqrt.f64 (.f64 a b)))))
(exp.f64 (.f64 (log.f64 (.f64 a (sqrt.f64 (*.f64 a b)))) 1))
(log1p.f64 (expm1.f64 (.f64 a (sqrt.f64 (.f64 a b)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a a) b))) 1)
(pow.f64 (.f64 (.f64 a a) b) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 a a) b)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a a) b)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 a a) b) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 a a) b) 2))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 a b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a a) b))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a a) b) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 a a) b)))
(exp.f64 (log.f64 (.f64 (.f64 a a) b)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a a) b)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a a) b)))

Outputs
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 2) (pow.f64 b 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(*.f64 (pow.f64 a 2) b)
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 a (.f64 a b))
(.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 (pow.f64 a 2) b)))
(.f64 a (.f64 a b))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a b)))) 1)
(sqrt.f64 (*.f64 a b))
(.f64 (sqrt.f64 (.f64 a b)) 1)
(sqrt.f64 (*.f64 a b))
(.f64 1 (sqrt.f64 (.f64 a b)))
(sqrt.f64 (*.f64 a b))
(*.f64 (sqrt.f64 b) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) (sqrt.f64 b))
(.f64 (pow.f64 (.f64 a b) 1/4) (pow.f64 (*.f64 a b) 1/4))
(sqrt.f64 (*.f64 a b))
(*.f64 (sqrt.f64 a) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 a))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b)))
(sqrt.f64 (*.f64 a b))
(.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (sqrt.f64 (*.f64 a b))))
(sqrt.f64 (*.f64 a b))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 a b))) (sqrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (cbrt.f64 (.f64 a b)) (sqrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 a b)))
(sqrt.f64 (*.f64 a b))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a b)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 a b))) (sqrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (cbrt.f64 (.f64 a b)) (sqrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 1/2)
(sqrt.f64 (*.f64 a b))
(pow.f64 (sqrt.f64 (*.f64 a b)) 1)
(sqrt.f64 (*.f64 a b))
(pow.f64 (pow.f64 (*.f64 a b) 1/4) 2)
(sqrt.f64 (*.f64 a b))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a b))) 3)
(sqrt.f64 (*.f64 a b))
(pow.f64 (pow.f64 (*.f64 a b) 3/2) 1/3)
(sqrt.f64 (*.f64 a b))
(fabs.f64 (sqrt.f64 (*.f64 a b)))
(sqrt.f64 (*.f64 a b))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 a b))))
(sqrt.f64 (*.f64 a b))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a b)))))
(sqrt.f64 (*.f64 a b))
(cbrt.f64 (pow.f64 (*.f64 a b) 3/2))
(sqrt.f64 (*.f64 a b))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a b))))
(sqrt.f64 (*.f64 a b))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 a b))))
(sqrt.f64 (*.f64 a b))
(exp.f64 (.f64 (log.f64 (.f64 a b)) 1/2))
(sqrt.f64 (*.f64 a b))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a b))) 1))
(sqrt.f64 (*.f64 a b))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a b))))
(sqrt.f64 (*.f64 a b))
(-.f64 0 (pow.f64 (*.f64 a b) 2))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(neg.f64 (pow.f64 (*.f64 a b) 2))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(neg.f64 (.f64 (.f64 a a) (*.f64 b b)))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 a (sqrt.f64 (.f64 a b))))) 1)
(.f64 a (sqrt.f64 (.f64 a b)))
(pow.f64 (.f64 a (sqrt.f64 (.f64 a b))) 1)
(.f64 a (sqrt.f64 (.f64 a b)))
(pow.f64 (sqrt.f64 (.f64 a (sqrt.f64 (.f64 a b)))) 2)
(.f64 a (sqrt.f64 (.f64 a b)))
(pow.f64 (cbrt.f64 (.f64 a (sqrt.f64 (.f64 a b)))) 3)
(.f64 a (sqrt.f64 (.f64 a b)))
(pow.f64 (pow.f64 (.f64 a (sqrt.f64 (.f64 a b))) 3) 1/3)
(.f64 a (sqrt.f64 (.f64 a b)))
(sqrt.f64 (.f64 a (.f64 (*.f64 a a) b)))
(.f64 a (sqrt.f64 (.f64 a b)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 a b))) a))
(.f64 a (sqrt.f64 (.f64 a b)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a (sqrt.f64 (.f64 a b))))))
(.f64 a (sqrt.f64 (.f64 a b)))
(cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 (.f64 a b))) 3))
(.f64 a (sqrt.f64 (.f64 a b)))
(expm1.f64 (log1p.f64 (.f64 a (sqrt.f64 (.f64 a b)))))
(.f64 a (sqrt.f64 (.f64 a b)))
(exp.f64 (log.f64 (.f64 a (sqrt.f64 (.f64 a b)))))
(.f64 a (sqrt.f64 (.f64 a b)))
(exp.f64 (.f64 (log.f64 (.f64 a (sqrt.f64 (*.f64 a b)))) 1))
(.f64 a (sqrt.f64 (.f64 a b)))
(log1p.f64 (expm1.f64 (.f64 a (sqrt.f64 (.f64 a b)))))
(.f64 a (sqrt.f64 (.f64 a b)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a a) b))) 1)
(.f64 a (.f64 a b))
(pow.f64 (.f64 (.f64 a a) b) 1)
(.f64 a (.f64 a b))
(pow.f64 (sqrt.f64 (.f64 (.f64 a a) b)) 2)
(.f64 a (.f64 a b))
(pow.f64 (cbrt.f64 (.f64 (.f64 a a) b)) 3)
(.f64 a (.f64 a b))
(pow.f64 (pow.f64 (.f64 (.f64 a a) b) 3) 1/3)
(.f64 a (.f64 a b))
(sqrt.f64 (pow.f64 (.f64 (.f64 a a) b) 2))
(.f64 a (.f64 a b))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 a b)))
(.f64 a (.f64 a b))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a a) b))))
(.f64 a (.f64 a b))
(cbrt.f64 (pow.f64 (.f64 (.f64 a a) b) 3))
(.f64 a (.f64 a b))
(expm1.f64 (log1p.f64 (.f64 (.f64 a a) b)))
(.f64 a (.f64 a b))
(exp.f64 (log.f64 (.f64 (.f64 a a) b)))
(.f64 a (.f64 a b))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a a) b)) 1))
(.f64 a (.f64 a b))
(log1p.f64 (expm1.f64 (.f64 (.f64 a a) b)))
(.f64 a (.f64 a b))

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
✓	0.3b	(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
✓	9.8b	(cbrt.f64 (*.f64 a b))

Compiler

Compiled 59 to 19 computations (67.8% saved)

series13.0ms (0.3%)

Counts

4 → 24

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
2.0ms	b	@	-inf	(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
2.0ms	a	@	0	(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
1.0ms	b	@	0	(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
0.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (*.f64 a b)) 2)

rewrite76.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`add-sqr-sqrt`
1860×	`*-un-lft-identity`
1726×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	76
1	222	70
2	2593	70

Stop Event

1×	node limit

Counts

4 → 73

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 a b))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
(.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a b) 1/6) (pow.f64 (.f64 a b) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 b) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (cbrt.f64 (cbrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 a) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 a b)) 1/3) (pow.f64 (sqrt.f64 (.f64 a b)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a b) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a b) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a b)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 a b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a b)) (pow.f64 (.f64 a b) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a b) 1/6) (.f64 (pow.f64 (.f64 a b) 1/6) (cbrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))) (cbrt.f64 (cbrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 a) (.f64 (cbrt.f64 b) (cbrt.f64 (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 a)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 a b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 a b) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (.f64 a b)) (sqrt.f64 (.f64 a b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (.f64 a b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (cbrt.f64 (.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) a) (pow.f64 (cbrt.f64 (.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (.f64 a b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))))))))

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

670×	`associate-/r*`
634×	`*-commutative`
622×	`+-commutative`
610×	`distribute-lft-in`
596×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	149	2009
1	298	1769
2	1346	1579
3	4592	1579

Stop Event

1×	node limit

Counts

97 → 93

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 a b)))) 1)
(.f64 (cbrt.f64 (.f64 a b)) 1)
(.f64 1 (cbrt.f64 (.f64 a b)))
(.f64 (pow.f64 (.f64 a b) 1/6) (pow.f64 (*.f64 a b) 1/6))
(*.f64 (cbrt.f64 b) (cbrt.f64 a))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (cbrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2))
(*.f64 (cbrt.f64 a) (cbrt.f64 b))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 a b)))
(.f64 (pow.f64 (sqrt.f64 (.f64 a b)) 1/3) (pow.f64 (sqrt.f64 (*.f64 a b)) 1/3))
(pow.f64 (*.f64 a b) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a b)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 a b) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(fabs.f64 (cbrt.f64 (*.f64 a b)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 a b))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 a b)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 a b))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 a b))))
(exp.f64 (.f64 (log.f64 (.f64 a b)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a b))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 a b))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) 1)
(.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (*.f64 a b)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(.f64 (sqrt.f64 (.f64 a b)) (pow.f64 (*.f64 a b) 1/6))
(.f64 (pow.f64 (.f64 a b) 1/6) (.f64 (pow.f64 (.f64 a b) 1/6) (cbrt.f64 (*.f64 a b))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2))
(.f64 (cbrt.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(.f64 (cbrt.f64 a) (.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 a b)) (cbrt.f64 a)) (cbrt.f64 b))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(cbrt.f64 (pow.f64 (*.f64 a b) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 a b)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 a b)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))) 1)
(pow.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 1)
(pow.f64 (.f64 (cbrt.f64 (.f64 a b)) (sqrt.f64 (*.f64 a b))) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 a b) 3)) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) a) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 a b) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(exp.f64 (log.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 a b)))) 1)
(cbrt.f64 (*.f64 a b))
(.f64 (cbrt.f64 (.f64 a b)) 1)
(cbrt.f64 (*.f64 a b))
(.f64 1 (cbrt.f64 (.f64 a b)))
(cbrt.f64 (*.f64 a b))
(.f64 (pow.f64 (.f64 a b) 1/6) (pow.f64 (*.f64 a b) 1/6))
(cbrt.f64 (*.f64 a b))
(*.f64 (cbrt.f64 b) (cbrt.f64 a))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (cbrt.f64 (cbrt.f64 (*.f64 a b))))
(cbrt.f64 (*.f64 a b))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2))
(cbrt.f64 (*.f64 a b))
(*.f64 (cbrt.f64 a) (cbrt.f64 b))
(*.f64 (cbrt.f64 b) (cbrt.f64 a))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 a b)))
(cbrt.f64 (*.f64 a b))
(.f64 (pow.f64 (sqrt.f64 (.f64 a b)) 1/3) (pow.f64 (sqrt.f64 (*.f64 a b)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 a b))) (cbrt.f64 (sqrt.f64 (*.f64 a b))))
(pow.f64 (*.f64 a b) 1/3)
(cbrt.f64 (*.f64 a b))
(pow.f64 (cbrt.f64 (*.f64 a b)) 1)
(cbrt.f64 (*.f64 a b))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1/2)
(cbrt.f64 (*.f64 a b))
(pow.f64 (pow.f64 (*.f64 a b) 1/6) 2)
(cbrt.f64 (*.f64 a b))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 3)
(cbrt.f64 (*.f64 a b))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(cbrt.f64 (*.f64 a b))
(fabs.f64 (cbrt.f64 (*.f64 a b)))
(cbrt.f64 (*.f64 a b))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 a b))))
(cbrt.f64 (*.f64 a b))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 a b)))))
(cbrt.f64 (*.f64 a b))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 a b))))
(cbrt.f64 (*.f64 a b))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 a b))))
(cbrt.f64 (*.f64 a b))
(exp.f64 (.f64 (log.f64 (.f64 a b)) 1/3))
(cbrt.f64 (*.f64 a b))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a b))) 1))
(cbrt.f64 (*.f64 a b))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 a b))))
(cbrt.f64 (*.f64 a b))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (*.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (sqrt.f64 (.f64 a b)) (pow.f64 (*.f64 a b) 1/6))
(.f64 (pow.f64 (.f64 a b) 1/6) (sqrt.f64 (*.f64 a b)))
(.f64 (pow.f64 (.f64 a b) 1/6) (.f64 (pow.f64 (.f64 a b) 1/6) (cbrt.f64 (*.f64 a b))))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b))))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(.f64 (cbrt.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 5)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 5)))
(.f64 (cbrt.f64 a) (.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 a b))))
(.f64 (cbrt.f64 a) (.f64 (cbrt.f64 (*.f64 a b)) (cbrt.f64 b)))
(.f64 (cbrt.f64 (.f64 a b)) (*.f64 (cbrt.f64 b) (cbrt.f64 a)))
(.f64 (cbrt.f64 b) (.f64 (cbrt.f64 (*.f64 a b)) (cbrt.f64 a)))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2))
(.f64 (.f64 (cbrt.f64 (*.f64 a b)) (cbrt.f64 a)) (cbrt.f64 b))
(.f64 (cbrt.f64 a) (.f64 (cbrt.f64 (*.f64 a b)) (cbrt.f64 b)))
(.f64 (cbrt.f64 (.f64 a b)) (*.f64 (cbrt.f64 b) (cbrt.f64 a)))
(.f64 (cbrt.f64 b) (.f64 (cbrt.f64 (*.f64 a b)) (cbrt.f64 a)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(cbrt.f64 (pow.f64 (*.f64 a b) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(exp.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 a b)))))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 a b)))) 1))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))) 1)
(.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 5)
(pow.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 1)
(.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 5)
(pow.f64 (.f64 (cbrt.f64 (.f64 a b)) (sqrt.f64 (*.f64 a b))) 2)
(.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 5)
(pow.f64 (cbrt.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) 3)
(.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 5)
(pow.f64 (.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 a b) 3)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 a b) 3)))
(cbrt.f64 (.f64 (.f64 a b) (pow.f64 (*.f64 a b) 4)))
(cbrt.f64 (pow.f64 (*.f64 a b) 5))
(sqrt.f64 (.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (pow.f64 (*.f64 a b) 2)))
(fabs.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 5))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 10))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) a) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 5)
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))
(.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 5)
(cbrt.f64 (.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 a b) 3)))
(cbrt.f64 (.f64 (.f64 a b) (pow.f64 (*.f64 a b) 4)))
(cbrt.f64 (pow.f64 (*.f64 a b) 5))
(expm1.f64 (log1p.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 5)
(exp.f64 (log.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 5)
(exp.f64 (.f64 (log.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2))) 1))
(.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 5)
(log1p.f64 (expm1.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(.f64 a (.f64 b (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 5)

eval59.0ms (1.5%)

Compiler: Compiled 4918 to 1761 computations (64.2% saved)

prune53.0ms (1.3%)

Pruning

20 alts after pruning (9 fresh and 11 done)

	Pruned	Kept	Total
New	332	2	334
Fresh	1	7	8
Picked	0	1	1
Done	0	10	10
Total	333	20	353

Error

0.0b

Counts

353 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.5b	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) (neg.f64 b))
	5.2b	(.f64 (.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) (neg.f64 b))
	31.9b	(.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (pow.f64 (pow.f64 (*.f64 a b) 1/4) 2)) (neg.f64 b))
✓	31.9b	(.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))) (neg.f64 b))
▶	39.7b	(.f64 (.f64 b b) (*.f64 a a))
✓	4.7b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
✓	18.1b	(.f64 (exp.f64 (log.f64 (.f64 a (*.f64 a b)))) (neg.f64 b))
✓	39.5b	(.f64 a (.f64 (*.f64 a b) b))
✓	16.0b	(.f64 a (.f64 (neg.f64 a) (*.f64 b b)))
✓	7.3b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
✓	39.5b	(.f64 a (.f64 a (*.f64 b b)))
▶	1.2b	(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3))
▶	7.7b	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3))
▶	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))))
✓	0.8b	(neg.f64 (.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b))))
	29.5b	(neg.f64 (.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))))
▶	0.6b	(neg.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b))))
✓	16.5b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	16.2b	(neg.f64 (sqrt.f64 (pow.f64 (*.f64 a b) 4)))

Compiler

Compiled 383 to 228 computations (40.5% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))
	0.3b	(pow.f64 (*.f64 a b) 2)
	9.8b	(cbrt.f64 (*.f64 a b))
	19.3b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

Compiler

Compiled 64 to 25 computations (60.9% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	-inf	(.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))
1.0ms	a	@	-inf	(.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))
0.0ms	a	@	0	(.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))
0.0ms	b	@	inf	(.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))
0.0ms	a	@	inf	(.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))

rewrite57.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1926×	`add-sqr-sqrt`
1906×	`*-un-lft-identity`
1772×	`add-cube-cbrt`
1742×	`add-cbrt-cube`
228×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	241	13
2	2926	13

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1512×	`associate-+r+`
1368×	`associate-+l+`
686×	`distribute-rgt-in`
684×	`distribute-lft-in`
566×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	815
1	103	593
2	401	593
3	1702	593
4	5310	593

Stop Event

1×	node limit

Counts

37 → 19

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a b) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 a b))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 a b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) (cbrt.f64 -1))))
(neg.f64 (.f64 (cbrt.f64 -1) (pow.f64 (.f64 a b) 2)))
(.f64 (cbrt.f64 -1) (neg.f64 (pow.f64 (.f64 a b) 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) (cbrt.f64 -1))))
(neg.f64 (.f64 (cbrt.f64 -1) (pow.f64 (.f64 a b) 2)))
(.f64 (cbrt.f64 -1) (neg.f64 (pow.f64 (.f64 a b) 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) (cbrt.f64 -1))))
(neg.f64 (.f64 (cbrt.f64 -1) (pow.f64 (.f64 a b) 2)))
(.f64 (cbrt.f64 -1) (neg.f64 (pow.f64 (.f64 a b) 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) (cbrt.f64 -1))))
(neg.f64 (.f64 (cbrt.f64 -1) (pow.f64 (.f64 a b) 2)))
(.f64 (cbrt.f64 -1) (neg.f64 (pow.f64 (.f64 a b) 2)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) (cbrt.f64 -1))))
(neg.f64 (.f64 (cbrt.f64 -1) (pow.f64 (.f64 a b) 2)))
(.f64 (cbrt.f64 -1) (neg.f64 (pow.f64 (.f64 a b) 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) (cbrt.f64 -1))))
(neg.f64 (.f64 (cbrt.f64 -1) (pow.f64 (.f64 a b) 2)))
(.f64 (cbrt.f64 -1) (neg.f64 (pow.f64 (.f64 a b) 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) (cbrt.f64 -1))))
(neg.f64 (.f64 (cbrt.f64 -1) (pow.f64 (.f64 a b) 2)))
(.f64 (cbrt.f64 -1) (neg.f64 (pow.f64 (.f64 a b) 2)))
(.f64 -1 (.f64 (pow.f64 a 2) (*.f64 (cbrt.f64 -1) (pow.f64 b 2))))
(neg.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) (cbrt.f64 -1))))
(neg.f64 (.f64 (cbrt.f64 -1) (pow.f64 (.f64 a b) 2)))
(.f64 (cbrt.f64 -1) (neg.f64 (pow.f64 (.f64 a b) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (*.f64 a b) 4))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 2 (log.f64 (.f64 a b))))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 a b))) 1))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	20.8b	(.f64 (.f64 b b) (*.f64 a a))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(.f64 (.f64 b b) (*.f64 a a))
0.0ms	b	@	inf	(.f64 (.f64 b b) (*.f64 a a))
0.0ms	a	@	inf	(.f64 (.f64 b b) (*.f64 a a))
0.0ms	b	@	-inf	(.f64 (.f64 b b) (*.f64 a a))
0.0ms	a	@	-inf	(.f64 (.f64 b b) (*.f64 a a))

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`add-sqr-sqrt`
1292×	`*-un-lft-identity`
1194×	`add-cube-cbrt`
1174×	`add-cbrt-cube`
1164×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	143	13
2	1821	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 b b) (*.f64 a a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 b a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 b a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 4) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 b a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 b a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 b a) 2)))))))

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1330×	`log-prod`
808×	`distribute-rgt-in`
774×	`distribute-lft-in`
730×	`associate-r`
700×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	665
1	81	455
2	395	455
3	2101	455

Stop Event

1×	node limit

Counts

35 → 14

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (+.f64 1 (pow.f64 (*.f64 b a) 2)) 1)
(pow.f64 (pow.f64 (*.f64 b a) 2) 1)
(pow.f64 (*.f64 b a) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 b a) 2) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 a 4) (pow.f64 b 4)))
(log.f64 (exp.f64 (pow.f64 (*.f64 b a) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 b a) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 b a) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 b a) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 b a) 2)))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(-.f64 (+.f64 1 (pow.f64 (*.f64 b a) 2)) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 b a) 2) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 b a) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 2)) 3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 b a) 2) 3) 1/3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (*.f64 (pow.f64 a 4) (pow.f64 b 4)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 b a) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 b a) 2) 3))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 b a) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 b a) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 b a) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a b) b)
✓	0.4b	(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3)
✓	7.0b	(.f64 (.f64 (*.f64 a b) b) a)
✓	19.3b	(cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a))

Compiler

Compiled 49 to 12 computations (75.5% saved)

series2.0ms (0.1%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	a	@	inf	(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3)
0.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3)
0.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3)
0.0ms	b	@	inf	(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3)
0.0ms	a	@	0	(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3)

rewrite69.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`add-sqr-sqrt`
1780×	`*-un-lft-identity`
1668×	`add-cube-cbrt`
1640×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	226	43
2	2479	43

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a))
(.f64 (.f64 (*.f64 a b) b) a)
(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a b)) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (pow.f64 (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (cbrt.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 a (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 (*.f64 a b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a b) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 b b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a b)) (*.f64 (cbrt.f64 (*.f64 a b)) (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a b)) (*.f64 (sqrt.f64 (*.f64 a b)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 a) b) (*.f64 (*.f64 (sqrt.f64 a) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) (*.f64 (cbrt.f64 a) (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) 2) (*.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (sqrt.f64 (*.f64 a b))) (sqrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 a b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 (sqrt.f64 a) b)) (*.f64 (sqrt.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b b))) 2)) (cbrt.f64 (*.f64 a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (*.f64 b b)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (*.f64 b b)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b))) 1) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b))) (cbrt.f64 (*.f64 a b))) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 a b) (cbrt.f64 (*.f64 a b))) (cbrt.f64 (*.f64 a (*.f64 b b)))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 2) 3) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

856×	`cube-prod`
824×	`swap-sqr`
702×	`*-commutative`
646×	`sqr-pow`
586×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	137	1538
1	314	1520
2	1354	1520
3	3827	1520

Stop Event

1×	node limit

Counts

102 → 77

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) 1)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (*.f64 a b)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (pow.f64 (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b))) 1/3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (cbrt.f64 (.f64 a (*.f64 b b))) (cbrt.f64 a))
(.f64 (cbrt.f64 a) (cbrt.f64 (.f64 a (*.f64 b b))))
(.f64 (pow.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(pow.f64 (pow.f64 (*.f64 a b) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 3)
(sqrt.f64 (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b))))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b))) 3/2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(.f64 a (.f64 a (*.f64 b b)))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 b (.f64 (*.f64 a b) a))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 (.f64 a (*.f64 b b)) a)
(.f64 (pow.f64 (.f64 a b) 2) 1)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b))))
(.f64 1 (pow.f64 (.f64 a b) 2))
(.f64 (cbrt.f64 (.f64 a b)) (.f64 (cbrt.f64 (.f64 a b)) (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b)))))
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) (*.f64 a b)))
(.f64 (.f64 (sqrt.f64 a) b) (.f64 (.f64 (sqrt.f64 a) b) a))
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 a (.f64 b b))))
(.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b)))))
(.f64 (cbrt.f64 (.f64 a (.f64 b b))) (.f64 (cbrt.f64 a) (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 2) (.f64 (cbrt.f64 (.f64 a (.f64 b b))) a))
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a (.f64 b b))))
(.f64 (.f64 b b) (*.f64 a a))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b)))
(.f64 (.f64 a (*.f64 a b)) b)
(.f64 (.f64 a (.f64 (sqrt.f64 a) b)) (.f64 (sqrt.f64 a) b))
(.f64 (.f64 a (pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 2)) (cbrt.f64 (.f64 a (.f64 b b))))
(.f64 (.f64 (*.f64 a b) a) b)
(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
(.f64 (.f64 (.f64 a (.f64 b b)) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 (.f64 (.f64 a (.f64 b b)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) 1) (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b)))
(.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) (cbrt.f64 (.f64 a (*.f64 b b)))) (cbrt.f64 a))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 2) 3) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(pow.f64 (*.f64 a b) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (cbrt.f64 (.f64 a b)) (cbrt.f64 (*.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 2))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (pow.f64 (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (cbrt.f64 (.f64 a (*.f64 b b))) (cbrt.f64 a))
(.f64 (cbrt.f64 (.f64 (*.f64 a b) b)) (cbrt.f64 a))
(.f64 (cbrt.f64 (.f64 b (*.f64 a b))) (cbrt.f64 a))
(.f64 (cbrt.f64 a) (cbrt.f64 (.f64 a (*.f64 b b))))
(.f64 (cbrt.f64 (.f64 (*.f64 a b) b)) (cbrt.f64 a))
(.f64 (cbrt.f64 (.f64 b (*.f64 a b))) (cbrt.f64 a))
(.f64 (cbrt.f64 (.f64 a (*.f64 b b))) (cbrt.f64 a))
(.f64 (pow.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 3)
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(sqrt.f64 (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b))))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1/3))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 1))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b))) 3/2)
(pow.f64 (.f64 a (.f64 b (cbrt.f64 (*.f64 a b)))) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) 3/2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(.f64 a (.f64 a (*.f64 b b)))
(pow.f64 (*.f64 a b) 2)
(.f64 b (.f64 a (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 b (.f64 (*.f64 a b) a))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a b) (*.f64 a b))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a (*.f64 b b)) a)
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b))))
(pow.f64 (*.f64 a b) 2)
(.f64 1 (pow.f64 (.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (cbrt.f64 (.f64 a b)) (.f64 (cbrt.f64 (.f64 a b)) (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b)))))
(pow.f64 (*.f64 a b) 2)
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (sqrt.f64 a) b) (.f64 (.f64 (sqrt.f64 a) b) a))
(pow.f64 (*.f64 a b) 2)
(.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 a (.f64 b b))))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b)))))
(pow.f64 (*.f64 a b) 2)
(.f64 (cbrt.f64 (.f64 a (.f64 b b))) (.f64 (cbrt.f64 a) (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b)))))
(.f64 (cbrt.f64 (.f64 (.f64 a b) b)) (.f64 (.f64 (cbrt.f64 a) (.f64 a b)) (cbrt.f64 (*.f64 a b))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (.f64 (cbrt.f64 (.f64 b (*.f64 a b))) (cbrt.f64 a)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (.f64 (cbrt.f64 (.f64 a (*.f64 b b))) (cbrt.f64 a)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 2) (.f64 (cbrt.f64 (.f64 a (.f64 b b))) a))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a (.f64 b b))))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a (*.f64 a b)) b)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a (.f64 (sqrt.f64 a) b)) (.f64 (sqrt.f64 a) b))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a (pow.f64 (cbrt.f64 (.f64 a (.f64 b b))) 2)) (cbrt.f64 (.f64 a (.f64 b b))))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (*.f64 a b) a) b)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a (.f64 b b)) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a (.f64 b b)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) 1) (pow.f64 (cbrt.f64 (.f64 a b)) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 a b))) (cbrt.f64 (.f64 a (*.f64 b b)))) (cbrt.f64 a))
(.f64 (cbrt.f64 (.f64 (.f64 a b) b)) (.f64 (.f64 (cbrt.f64 a) (.f64 a b)) (cbrt.f64 (*.f64 a b))))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (.f64 (cbrt.f64 (.f64 b (*.f64 a b))) (cbrt.f64 a)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (.f64 (cbrt.f64 (.f64 a (*.f64 b b))) (cbrt.f64 a)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 2) 3) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
	0.5b	(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
	9.8b	(cbrt.f64 (*.f64 a b))

Compiler

Compiled 36 to 17 computations (52.8% saved)

series6.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
1.0ms	a	@	0	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
1.0ms	b	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
1.0ms	a	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
1.0ms	b	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)

rewrite56.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`add-sqr-sqrt`
1770×	`*-un-lft-identity`
1664×	`add-cube-cbrt`
1646×	`add-cbrt-cube`
198×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	229	13
2	2517	13

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 b (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 a (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a b)) (*.f64 (cbrt.f64 (*.f64 a b)) (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) (pow.f64 (cbrt.f64 (*.f64 a b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a b) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a b)) (*.f64 (sqrt.f64 (*.f64 a b)) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2))) (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (sqrt.f64 (*.f64 a b))) (sqrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) b) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a b) (cbrt.f64 (pow.f64 (*.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) (cbrt.f64 (*.f64 a b))) (cbrt.f64 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) 1) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) 3) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 a b) 1/6) 6) (pow.f64 (pow.f64 (*.f64 a b) 1/6) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2))) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 6) (pow.f64 (cbrt.f64 b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a b))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1052×	`associate-+r+`
1032×	`associate-/l*`
904×	`associate-+l+`
590×	`*-commutative`
582×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	541
1	186	509
2	710	509
3	1790	509
4	6467	509

Stop Event

1×	node limit

Counts

33 → 37

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(.f64 a (.f64 b (*.f64 a b)))
(.f64 b (.f64 a (*.f64 a b)))
(.f64 (cbrt.f64 (.f64 a b)) (.f64 (cbrt.f64 (.f64 a b)) (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (pow.f64 (cbrt.f64 (*.f64 a b)) 4))
(.f64 (pow.f64 (.f64 a b) 2) 1)
(.f64 1 (pow.f64 (.f64 a b) 2))
(.f64 (.f64 a b) (*.f64 a b))
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) (*.f64 a b)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(.f64 (.f64 b b) (*.f64 a a))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b)))
(.f64 (.f64 (*.f64 a b) a) b)
(.f64 (.f64 (*.f64 a b) b) a)
(.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) 1) (cbrt.f64 (pow.f64 (.f64 a b) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) 3) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (pow.f64 (pow.f64 (.f64 a b) 1/6) 6) (pow.f64 (pow.f64 (*.f64 a b) 1/6) 6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 6))
(*.f64 (pow.f64 (cbrt.f64 a) 6) (pow.f64 (cbrt.f64 b) 6))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 12))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a b))) 6))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(.f64 a (.f64 b (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 b (.f64 a (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (cbrt.f64 (.f64 a b)) (.f64 (cbrt.f64 (.f64 a b)) (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(pow.f64 (*.f64 a b) 2)
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (pow.f64 (cbrt.f64 (*.f64 a b)) 4))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (.f64 a b) 2) 1)
(pow.f64 (*.f64 a b) 2)
(.f64 1 (pow.f64 (.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a b) (*.f64 a b))
(pow.f64 (*.f64 a b) 2)
(.f64 (sqrt.f64 (.f64 a b)) (.f64 (sqrt.f64 (.f64 a b)) (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) 4))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) 4))
(.f64 (.f64 b b) (*.f64 a a))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (*.f64 a b) a) b)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (*.f64 a b) b) a)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (cbrt.f64 (.f64 a b))) (cbrt.f64 (*.f64 a b)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) 1) (cbrt.f64 (pow.f64 (.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) 4))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) 4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) 3) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (pow.f64 (.f64 a b) 1/6) 6) (pow.f64 (pow.f64 (*.f64 a b) 1/6) 6))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2))) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 6))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 (cbrt.f64 a) 6) (pow.f64 (cbrt.f64 b) 6))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 12))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a b))) 6))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (*.f64 a b) 2)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))
✓	0.3b	(.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))
	0.5b	(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
	9.8b	(cbrt.f64 (*.f64 a b))

Compiler

Compiled 57 to 15 computations (73.7% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))
0.0ms	b	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))
0.0ms	b	@	inf	(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))
0.0ms	a	@	-inf	(.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))
0.0ms	a	@	inf	(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))

rewrite57.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`add-sqr-sqrt`
1788×	`*-un-lft-identity`
1660×	`add-cube-cbrt`
1638×	`add-cbrt-cube`
206×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	222	30
2	2594	30

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a b)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a b) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))))))

simplify48.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1250×	`distribute-rgt-in`
1214×	`distribute-lft-in`
732×	`log-prod`
688×	`associate-+r+`
676×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	970
1	132	736
2	524	736
3	2241	736

Stop Event

1×	node limit

Counts

52 → 31

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))) 1)
(pow.f64 (*.f64 a b) 4/3)
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (*.f64 a b) 4/3)
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) 1)
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 2)
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)) 3)
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2) 1/3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) 2))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) 1))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3) 1/3)
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 2))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a b) 2))))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 3))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (log.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a b) 2)) 1))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (.f64 a a) (*.f64 b b))
(pow.f64 (*.f64 a b) 2)

eval90.0ms (2.3%)

Compiler: Compiled 6429 to 2748 computations (57.3% saved)

prune81.0ms (2.1%)

Pruning

21 alts after pruning (7 fresh and 14 done)

	Pruned	Kept	Total
New	410	4	414
Fresh	1	3	4
Picked	1	0	1
Done	1	14	15
Total	413	21	434

Error

Counts

434 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.5b	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) (neg.f64 b))
	5.2b	(.f64 (.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) (neg.f64 b))
✓	31.9b	(.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))) (neg.f64 b))
✓	39.7b	(.f64 (.f64 b b) (*.f64 a a))
✓	4.7b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
✓	18.1b	(.f64 (exp.f64 (log.f64 (.f64 a (*.f64 a b)))) (neg.f64 b))
✓	39.5b	(.f64 a (.f64 (*.f64 a b) b))
✓	16.0b	(.f64 a (.f64 (neg.f64 a) (*.f64 b b)))
✓	7.3b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
✓	39.5b	(.f64 a (.f64 a (*.f64 b b)))
✓	1.2b	(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3))
	0.6b	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b)))) 3))
✓	7.7b	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3))
✓	0.8b	(neg.f64 (.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b))))
	29.5b	(neg.f64 (.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))))
	0.6b	(neg.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (*.f64 (cbrt.f64 b) (cbrt.f64 a))))
	4.9b	(neg.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 (.f64 (.f64 a b) a) b))) (cbrt.f64 (*.f64 a b))))
✓	16.5b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	0.3b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	0.5b	(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))))
	16.2b	(neg.f64 (sqrt.f64 (pow.f64 (*.f64 a b) 4)))

Compiler

Compiled 270 to 160 computations (40.7% saved)

regimes86.0ms (2.2%)

Counts

30 → 1

Calls

Call 1

Inputs
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(.f64 a (.f64 (*.f64 a b) b))
(.f64 (.f64 b b) (*.f64 a a))
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
(.f64 a (.f64 (neg.f64 a) (*.f64 b b)))
(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
(neg.f64 (pow.f64 (*.f64 a b) 2))
(neg.f64 (sqrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) (neg.f64 b))
(.f64 (exp.f64 (log.f64 (.f64 a (*.f64 a b)))) (neg.f64 b))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 a b) b) a)) 3))
(neg.f64 (.f64 (.f64 (.f64 a b) (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))))
(.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (sqrt.f64 (*.f64 a b))) (neg.f64 b))
(neg.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (.f64 (.f64 (.f64 a b) a) b))) (cbrt.f64 (*.f64 a b))))
(neg.f64 (expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2))))
(neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 3))
(neg.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 a b) (cbrt.f64 (*.f64 a b)))) 3))
(.f64 (.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)) (neg.f64 b))
(neg.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))))
(neg.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (cbrt.f64 (*.f64 a b))))
(neg.f64 (.f64 (.f64 (.f64 a b) (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (*.f64 a b))))
(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))))
(.f64 (.f64 (.f64 a (sqrt.f64 (.f64 a b))) (pow.f64 (pow.f64 (*.f64 a b) 1/4) 2)) (neg.f64 b))
(neg.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3))
(neg.f64 (.f64 (.f64 (.f64 a b) (cbrt.f64 (pow.f64 (.f64 a b) 2))) (*.f64 (cbrt.f64 b) (cbrt.f64 a))))

Outputs
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))

Calls

5 calls:

46.0ms	b
12.0ms	a
8.0ms	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
7.0ms	(*.f64 a a)
6.0ms	(.f64 (.f64 (*.f64 a a) b) b)

Results

Error	Segments	Branch
0.3b	1	`a`
0.3b	1	`b`
0.3b	1	`(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))`
0.3b	1	`(.f64 (.f64 (*.f64 a a) b) b)`
0.3b	1	`(*.f64 a a)`

Compiler

Compiled 357 to 149 computations (58.3% saved)

regimes13.0ms (0.3%)

Accuracy

Total -0.2b remaining (-0.5%)

Threshold costs -0.2b (-0.5%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a b)))
(.f64 a (.f64 (*.f64 a b) b))
(.f64 (.f64 b b) (*.f64 a a))

Outputs
(.f64 a (.f64 a (*.f64 b b)))

Calls

3 calls:

4.0ms	a
3.0ms	b
3.0ms	(*.f64 a a)

Results

Error	Segments	Branch
39.5b	1	`a`
39.5b	1	`b`
39.5b	1	`(*.f64 a a)`

Compiler

Compiled 41 to 19 computations (53.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
8×	`neg-mul-1`
8×	`+-commutative`
8×	`neg-sub0`
6×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	21	42
2	31	42
3	38	42
4	43	42
5	45	42

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 a (.f64 a (*.f64 b b)))

Outputs
(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
(.f64 (.f64 a b) (neg.f64 (*.f64 a b)))
(.f64 (.f64 a b) (*.f64 a (neg.f64 b)))
(.f64 a (.f64 a (*.f64 b b)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

soundness124.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1494×	`associate-+r+`
1462×	`associate-l`
1436×	`associate-+l+`
1078×	`fma-def`
726×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	1120
1	144	910
2	655	910
3	3117	910

Stop Event

1×	node limit

Compiler

Compiled 40 to 22 computations (45% saved)

end15.0ms (0.4%)

Remove: (sort a b)
Compiler: Compiled 37 to 21 computations (43.2% saved)