Details

analyze52.0ms (1.4%)

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)

sample714.0ms (19.7%)

Results

682.0ms	8256×	body	256	valid
21.0ms	257×	body	256	infinite

Bogosity

preprocess23.0ms (0.6%)

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)

simplify25.0ms (0.7%)

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 (0.1%)

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
▶	5.1b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
▶	21.8b	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
▶	6.3b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
▶	16.6b	(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
✓	4.9b	(.f64 (.f64 (*.f64 a a) b) b)
✓	11.0b	(.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)

rewrite52.0ms (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)))))))

simplify54.0ms (1.5%)

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)))
✓	6.0b	(.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))))

rewrite58.0ms (1.6%)

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))))))))

simplify57.0ms (1.6%)

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
✓	21.3b	(.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 (1.4%)

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)))))))

simplify46.0ms (1.3%)

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
✓	0.1b	(.f64 a (.f64 a b))
✓	4.9b	(.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))

rewrite55.0ms (1.5%)

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))))))))

simplify59.0ms (1.6%)

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))

eval17.0ms (0.5%)

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

prune15.0ms (0.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	111	8	119

Error

0.0b

Counts

119 → 8

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))
✓	5.1b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
✓	21.8b	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
✓	6.3b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
▶	35.9b	(.f64 a (.f64 b (*.f64 a b)))
▶	35.9b	(.f64 a (.f64 a (*.f64 b b)))
▶	0.2b	(neg.f64 (pow.f64 (*.f64 a b) 2))
✓	16.6b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))

Compiler

Compiled 77 to 48 computations (37.7% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(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	b	@	-inf	(pow.f64 (*.f64 a b) 2)
0.0ms	a	@	0	(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)

rewrite49.0ms (1.3%)

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)))))))

simplify67.0ms (1.8%)

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
✓	6.0b	(.f64 a (.f64 a (*.f64 b b)))
✓	8.7b	(.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 a (*.f64 b b)))
0.0ms	a	@	-inf	(.f64 a (.f64 a (*.f64 b b)))
0.0ms	a	@	inf	(.f64 a (.f64 b b))

rewrite54.0ms (1.5%)

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)))))))

simplify59.0ms (1.6%)

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)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 b (.f64 a b))
✓	6.0b	(.f64 a (.f64 b (*.f64 a 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 (*.f64 a b)))
0.0ms	b	@	-inf	(.f64 a (.f64 b (*.f64 a b)))
0.0ms	b	@	inf	(.f64 a (.f64 b (*.f64 a b)))
0.0ms	a	@	inf	(.f64 a (.f64 b (*.f64 a b)))
0.0ms	a	@	-inf	(.f64 b (.f64 a b))

rewrite52.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`add-sqr-sqrt`
1286×	`*-un-lft-identity`
1186×	`add-cube-cbrt`
1162×	`add-cbrt-cube`
1150×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	139	26
2	1697	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 a (.f64 b (*.f64 a b)))
(.f64 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 (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 (sqrt.f64 (*.f64 b (*.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 (pow.f64 (exp.f64 b) a) 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))))))))

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1520×	`distribute-rgt-in`
1468×	`distribute-lft-in`
940×	`associate-r`
802×	`associate-l`
770×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	1120
1	142	910
2	564	910
3	2931	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 (sqrt.f64 (.f64 b (.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 (pow.f64 (exp.f64 b) a) 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 (sqrt.f64 (.f64 b (.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 (pow.f64 (exp.f64 b) a) 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 (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 a (sqrt.f64 b)) 2)
✓	0.2b	(*.f64 a (sqrt.f64 b))
✓	3.5b	(.f64 (pow.f64 (.f64 a (sqrt.f64 b)) 2) (neg.f64 b))

Compiler

Compiled 28 to 11 computations (60.7% saved)

series7.0ms (0.2%)

Counts

3 → 36

Calls

18 calls:

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

rewrite65.0ms (1.8%)

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

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 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))))))))

((#(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))))))))

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-*r/`
1006×	`associate-*l/`
652×	`*-commutative`
564×	`associate-/r*`
550×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	121	1618
1	287	1364
2	1436	1364
3	4326	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 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))))
(-.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))))

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

eval21.0ms (0.6%)

Compiler: Compiled 1442 to 564 computations (60.9% saved)

prune23.0ms (0.6%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	139	5	144
Fresh	0	0	0
Picked	0	1	1
Done	1	6	7
Total	140	12	152

Error

0.0b

Counts

152 → 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))
▶	36.0b	(.f64 (.f64 b b) (*.f64 a a))
✓	5.1b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
✓	21.8b	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
✓	6.3b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
✓	35.9b	(.f64 a (.f64 b (*.f64 a b)))
✓	35.9b	(.f64 a (.f64 a (*.f64 b b)))
▶	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))))
▶	16.3b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
✓	16.6b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
▶	0.2b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
▶	16.1b	(neg.f64 (sqrt.f64 (pow.f64 (*.f64 a b) 4)))

Compiler

Compiled 193 to 116 computations (39.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.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	b	@	-inf	(.f64 (.f64 a b) (*.f64 a b))
0.0ms	b	@	inf	(.f64 (.f64 a b) (*.f64 a b))
0.0ms	a	@	-inf	(.f64 (.f64 a b) (*.f64 a b))

rewrite47.0ms (1.3%)

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)))))))

simplify55.0ms (1.5%)

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)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	21.0b	(.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	a	@	0	(.f64 (.f64 b b) (*.f64 a a))
0.0ms	b	@	-inf	(.f64 (.f64 b b) (*.f64 a a))

rewrite51.0ms (1.4%)

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 (1.2%)

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)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (*.f64 a b) 4)
✓	15.4b	(sqrt.f64 (pow.f64 (*.f64 a b) 4))

Compiler

Compiled 26 to 13 computations (50% saved)

series2.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(pow.f64 (*.f64 a b) 4)
0.0ms	b	@	0	(pow.f64 (*.f64 a b) 4)
0.0ms	a	@	-inf	(pow.f64 (*.f64 a b) 4)
0.0ms	a	@	inf	(pow.f64 (*.f64 a b) 4)
0.0ms	b	@	inf	(pow.f64 (*.f64 a b) 4)

rewrite60.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`add-sqr-sqrt`
1562×	`*-un-lft-identity`
1454×	`add-cube-cbrt`
1438×	`add-cbrt-cube`
1424×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	184	26
2	2112	26

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (*.f64 a b) 4)

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 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(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 (*.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 (sqrt.f64 (pow.f64 a 4)) (sqrt.f64 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(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 (pow.f64 1 1/2) (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a 4) 1/2) (pow.f64 (pow.f64 b 4) 1/2))))) (#(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) 4) 1/2)))) (#(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 (*.f64 a b) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (*.f64 a b) 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 (*.f64 a b) 6))))) (#(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 (log.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (*.f64 a b))) 1/2))))) (#(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)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 a b) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 2) (pow.f64 (*.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) (cbrt.f64 (pow.f64 (*.f64 a b) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a b) 3) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 4) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b 4) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 a b) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 a b)) 4) (pow.f64 (sqrt.f64 (*.f64 a b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 4) (pow.f64 (cbrt.f64 (*.f64 a b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a b) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (*.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 4)))))))

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1056×	`unswap-sqr`
892×	`cube-prod`
888×	`exp-prod`
758×	`distribute-lft-in`
752×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	124	1730
1	274	1472
2	1171	1472
3	3421	1472

Stop Event

1×	node limit

Counts

104 → 60

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 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(-.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 (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 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))
(.f64 (.f64 b b) (*.f64 a a))
(.f64 (.f64 a a) (*.f64 b b))
(*.f64 (sqrt.f64 (pow.f64 a 4)) (sqrt.f64 (pow.f64 b 4)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.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 (pow.f64 1 1/2) (pow.f64 (.f64 a b) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1/2))
(*.f64 (pow.f64 (pow.f64 a 4) 1/2) (pow.f64 (pow.f64 b 4) 1/2))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 a b) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 3)
(pow.f64 (pow.f64 (*.f64 a b) 6) 1/3)
(fabs.f64 (pow.f64 (*.f64 a b) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 2)))
(cbrt.f64 (pow.f64 (*.f64 a b) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 a b))))
(exp.f64 (.f64 (log.f64 (.f64 a b)) 2))
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 a b))) 1/2))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 a b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 2)))
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 4)) 1)
(.f64 (.f64 a b) (pow.f64 (*.f64 a b) 3))
(.f64 (pow.f64 (.f64 a b) 4) 1)
(.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 a b) 2))
(.f64 1 (pow.f64 (.f64 a b) 4))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (cbrt.f64 (pow.f64 (*.f64 a b) 8)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (pow.f64 (*.f64 a b) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 (pow.f64 (.f64 a b) 3) (*.f64 a b))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(*.f64 (pow.f64 b 4) (pow.f64 a 4))
(.f64 (.f64 (pow.f64 (.f64 a b) 2) (cbrt.f64 (pow.f64 (.f64 a b) 4))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (pow.f64 (sqrt.f64 (.f64 a b)) 4) (pow.f64 (sqrt.f64 (*.f64 a b)) 4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 4) (pow.f64 (cbrt.f64 (*.f64 a b)) 4))
(sqrt.f64 (pow.f64 (*.f64 a b) 8))
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 4)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 4)))
(exp.f64 (.f64 4 (log.f64 (.f64 a b))))
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 a b))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 4)))

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 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(-.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 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(pow.f64 (*.f64 a b) 2)
(.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 (.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 (sqrt.f64 (pow.f64 a 4)) (sqrt.f64 (pow.f64 b 4)))
(pow.f64 (*.f64 a b) 2)
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(.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 (pow.f64 1 1/2) (pow.f64 (.f64 a b) 2))
(pow.f64 (*.f64 a b) 2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(*.f64 (pow.f64 (pow.f64 a 4) 1/2) (pow.f64 (pow.f64 b 4) 1/2))
(pow.f64 (*.f64 a b) 2)
(pow.f64 (*.f64 a b) 2)
(pow.f64 (pow.f64 (*.f64 a b) 4) 1/2)
(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 (pow.f64 (*.f64 a b) 6) 1/3)
(pow.f64 (*.f64 a b) 2)
(fabs.f64 (pow.f64 (*.f64 a b) 2))
(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 (*.f64 a b) 6))
(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 (log.f64 (.f64 a b)) 2))
(pow.f64 (*.f64 a b) 2)
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 a b))) 1/2))
(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)
(-.f64 (+.f64 1 (pow.f64 (*.f64 a b) 4)) 1)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(.f64 (.f64 a b) (pow.f64 (*.f64 a b) 3))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(.f64 (pow.f64 (.f64 a b) 4) 1)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (*.f64 a b) 2))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(.f64 1 (pow.f64 (.f64 a b) 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (cbrt.f64 (pow.f64 (*.f64 a b) 8)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)) (pow.f64 (cbrt.f64 (*.f64 a b)) 4))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (pow.f64 (*.f64 a b) 2)))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) (cbrt.f64 (pow.f64 (*.f64 a b) 8)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)) (pow.f64 (cbrt.f64 (*.f64 a b)) 4))
(.f64 (pow.f64 (.f64 a b) 3) (*.f64 a b))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(*.f64 (pow.f64 b 4) (pow.f64 a 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(.f64 (.f64 (pow.f64 (.f64 a b) 2) (cbrt.f64 (pow.f64 (.f64 a b) 4))) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(.f64 (pow.f64 (sqrt.f64 (.f64 a b)) 4) (pow.f64 (sqrt.f64 (*.f64 a b)) 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 4) (pow.f64 (cbrt.f64 (*.f64 a b)) 4))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(sqrt.f64 (pow.f64 (*.f64 a b) 8))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(log.f64 (exp.f64 (pow.f64 (*.f64 a b) 4)))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 a b) 4) 3))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 a b) 4)))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(exp.f64 (.f64 4 (log.f64 (.f64 a b))))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 a b))) 1))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 a b) 4)))
(*.f64 (pow.f64 a 4) (pow.f64 b 4))
(pow.f64 (*.f64 a b) 4)

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)))
✓	0.2b	(.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)

series15.0ms (0.4%)

Counts

4 → 24

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))
4.0ms	b	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b)))
1.0ms	a	@	-inf	(cbrt.f64 (*.f64 a b))
0.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
0.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (*.f64 a b)) 2)

rewrite71.0ms (2%)

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	70
1	222	58
2	2597	58

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 a b))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.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 (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 (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 (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 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) (sqrt.f64 (.f64 a b)))))) (#(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 (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 (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 (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 (sqrt.f64 (.f64 a (cbrt.f64 (.f64 a b)))) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 a b)) (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 (.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 fabs.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2))))) (#(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 (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)) 2) 2)))) (#(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 (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)))))))

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1540×	`fma-def`
658×	`exp-prod`
570×	`log-prod`
554×	`sqr-pow`
502×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1841
1	286	1601
2	1256	1597
3	3811	1585

Stop Event

1×	node limit

Counts

101 → 88

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 (cbrt.f64 (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (cbrt.f64 (cbrt.f64 (*.f64 a b))))
(*.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) (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))))
(.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 a) (.f64 (cbrt.f64 b) (cbrt.f64 (*.f64 a b))))
(*.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2))
(.f64 (sqrt.f64 (.f64 a (cbrt.f64 (*.f64 a b)))) (sqrt.f64 b))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))))
(.f64 (.f64 (cbrt.f64 (.f64 a b)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 a b))))
(.f64 (.f64 (cbrt.f64 (*.f64 a b)) (cbrt.f64 a)) (cbrt.f64 b))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))
(fabs.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(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 (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)) 2) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4) 1)
(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 (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 (cbrt.f64 (cbrt.f64 (.f64 a b))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 a b))) 2))
(cbrt.f64 (*.f64 a b))
(.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 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 (pow.f64 (sqrt.f64 (*.f64 a b)) 1/6) 4)
(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))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (pow.f64 (.f64 a b) 1/6) (sqrt.f64 (*.f64 a b)))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.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 (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 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4)))
(.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 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2))
(.f64 (sqrt.f64 (.f64 a (cbrt.f64 (*.f64 a b)))) (sqrt.f64 b))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(.f64 (.f64 (cbrt.f64 (.f64 a b)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 a b))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 a b))))
(pow.f64 (cbrt.f64 (*.f64 a 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)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
(fabs.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(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))
(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 (.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 (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)) 2) 2)
(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 (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)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (*.f64 a b) 4)
	0.5b	(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
	9.8b	(cbrt.f64 (*.f64 a b))
✓	23.8b	(cbrt.f64 (pow.f64 (*.f64 a b) 4))

Compiler

Compiled 57 to 26 computations (54.4% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	(cbrt.f64 (pow.f64 (*.f64 a b) 4))
0.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (*.f64 a b) 4))
0.0ms	a	@	0	(cbrt.f64 (pow.f64 (*.f64 a b) 4))
0.0ms	a	@	inf	(cbrt.f64 (pow.f64 (*.f64 a b) 4))
0.0ms	b	@	inf	(cbrt.f64 (pow.f64 (*.f64 a b) 4))

rewrite53.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`add-sqr-sqrt`
1574×	`*-un-lft-identity`
1472×	`add-cube-cbrt`
1450×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	182	17
2	2110	17

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 a b) 4))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a 4)) (cbrt.f64 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 1/3) (pow.f64 (pow.f64 (*.f64 a b) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a 4) 1/3) (pow.f64 (pow.f64 b 4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a b) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 4) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (*.f64 a b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))))

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-+r+`
1170×	`associate-+l+`
1062×	`distribute-lft-in`
1030×	`distribute-rgt-in`
698×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	520
1	131	520
2	308	520
3	947	520
4	2465	520

Stop Event

1×	node limit

Counts

24 → 27

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) 1)
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) 1)
(.f64 1 (cbrt.f64 (pow.f64 (.f64 a b) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (cbrt.f64 (pow.f64 b 4)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (.f64 a b) 4)))
(.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 1/3) (pow.f64 (pow.f64 (*.f64 a b) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(*.f64 (pow.f64 (pow.f64 a 4) 1/3) (pow.f64 (pow.f64 b 4) 1/3))
(pow.f64 (*.f64 a b) 4/3)
(pow.f64 (pow.f64 (*.f64 a b) 4) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 a b))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) 1)
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) 1)
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(.f64 1 (cbrt.f64 (pow.f64 (.f64 a b) 4)))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 2)) (cbrt.f64 (pow.f64 (*.f64 a b) 2)))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (cbrt.f64 (pow.f64 b 4)))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (.f64 a b) 4)))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 1/3) (pow.f64 (pow.f64 (*.f64 a b) 2) 1/3))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(*.f64 (pow.f64 (pow.f64 a 4) 1/3) (pow.f64 (pow.f64 b 4) 1/3))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (*.f64 a b) 4/3)
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (pow.f64 (*.f64 a b) 4) 1/3)
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1)
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3)
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 a b))) 1/3))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) 1))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (cbrt.f64 (*.f64 a b)) 4)

eval71.0ms (2%)

Compiler: Compiled 4958 to 2306 computations (53.5% saved)

prune47.0ms (1.3%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	0	0	0
Picked	0	1	1
Done	0	11	11
Total	309	15	324

Error

Counts

324 → 15

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))
✓	36.0b	(.f64 (.f64 b b) (*.f64 a a))
✓	5.1b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
✓	21.8b	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
✓	6.3b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
✓	35.9b	(.f64 a (.f64 b (*.f64 a b)))
✓	35.9b	(.f64 a (.f64 a (*.f64 b b)))
▶	16.3b	(neg.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 a)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
▶	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 2)))
▶	16.4b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3)))
✓	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))))
✓	16.3b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
✓	16.6b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	0.2b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
✓	16.1b	(neg.f64 (sqrt.f64 (pow.f64 (*.f64 a b) 4)))

Compiler

Compiled 185 to 119 computations (35.7% saved)

localize28.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3)
	9.8b	(cbrt.f64 (*.f64 a b))
✓	17.9b	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
	23.8b	(cbrt.f64 (pow.f64 (*.f64 a b) 4))

Compiler

Compiled 80 to 43 computations (46.3% saved)

series55.0ms (1.5%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	a	@	0	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
11.0ms	b	@	0	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
6.0ms	a	@	inf	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
6.0ms	b	@	inf	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
1.0ms	b	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3)

rewrite70.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`add-sqr-sqrt`
1864×	`*-un-lft-identity`
1756×	`add-cube-cbrt`
1736×	`add-cbrt-cube`
206×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	247	38
2	2599	38

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a b) 4) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a 4)) (cbrt.f64 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))) 1) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))) 3) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 a b) 2) 1/3) (pow.f64 (pow.f64 (*.f64 a b) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a 4) 1/3) (pow.f64 (pow.f64 b 4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 (*.f64 a b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))))

simplify90.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

962×	`associate-+l-`
846×	`associate-+r-`
778×	`distribute-lft-out`
760×	`fma-def`
722×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	152	3613
1	357	3207
2	982	2873
3	2373	2579
4	5028	2547

Stop Event

1×	node limit

Counts

97 → 92

Calls

Call 1

Inputs
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a)))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a)))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a)))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a)))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a))))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4)))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a)))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4))))) 3)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) 1)
(.f64 1 (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 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1/3))
(pow.f64 (pow.f64 (*.f64 a b) 4) 1/9)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) 3)
(sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) 1)
(.f64 1 (cbrt.f64 (pow.f64 (.f64 a b) 4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(.f64 (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) 8)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (cbrt.f64 (pow.f64 b 4)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) 1) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)))) 3) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (.f64 a b) 4)))
(.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 1/3) (pow.f64 (pow.f64 (*.f64 a b) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 a 4) 1/3) (pow.f64 (pow.f64 b 4) 1/3))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 a b))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))

Outputs
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a))))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a))))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a))))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a))))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a)))))
(exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9)))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9)))
(exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9)))
(exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a)))))
(exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9)))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9)))
(exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9)))
(exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a)))))
(exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9)))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9)))
(exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9)))
(exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b))))
(exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a))))))
(pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a)))))
(exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9)))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9)))
(exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9)))
(exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a)))))
(exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9)))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9)))
(exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9)))
(exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a)))))
(exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9)))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9)))
(exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9)))
(exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a)))))
(exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9)))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9)))
(exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9)))
(exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4)))))
(pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a)))))
(exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9)))
(exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9)))
(exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9)))
(exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 4 (log.f64 a))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 1 a)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a))))) 3)
(pow.f64 (exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9))) 3)
(pow.f64 (exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a))))) 3)
(pow.f64 (exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9))) 3)
(pow.f64 (exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a))))) 3)
(pow.f64 (exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9))) 3)
(pow.f64 (exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 b 4)) (.f64 -4 (log.f64 (/.f64 -1 a)))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a))))) 3)
(pow.f64 (exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9))) 3)
(pow.f64 (exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 4 (log.f64 b)) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a))))) 3)
(pow.f64 (exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9))) 3)
(pow.f64 (exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a))))) 3)
(pow.f64 (exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9))) 3)
(pow.f64 (exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a))))) 3)
(pow.f64 (exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9))) 3)
(pow.f64 (exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)))) 3)
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 b))) (log.f64 (pow.f64 a 4))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (.f64 4 (log.f64 b)) (.f64 -4 (log.f64 (/.f64 -1 a))))) 3)
(pow.f64 (exp.f64 (+.f64 (.f64 (log.f64 b) 4/9) (.f64 (log.f64 (/.f64 -1 a)) -4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 -1 a)) -4/9 (*.f64 (log.f64 b) 4/9))) 3)
(pow.f64 (exp.f64 (fma.f64 (log.f64 a) 4/9 (*.f64 (log.f64 (/.f64 -1 b)) -4/9))) 3)
(pow.f64 (exp.f64 (*.f64 -4/9 (-.f64 (log.f64 (/.f64 -1 a)) (log.f64 b)))) 3)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))) 1)
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) 1)
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) 2)
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2) 1/3))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) 2)
(pow.f64 (pow.f64 (*.f64 a b) 4) 1/9)
(pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a))))
(pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a))))
(exp.f64 (.f64 4/9 (log.f64 (.f64 b a))))
(exp.f64 (.f64 (log.f64 (.f64 b a)) 4/9))
(pow.f64 (exp.f64 4/9) (log.f64 (*.f64 b a)))
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 1)
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)) 1/3)
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 b a)) 2)) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) 3)
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) 1))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) 1/3))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 4)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))) 1)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8))))
(.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)) 1)
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(.f64 1 (cbrt.f64 (pow.f64 (.f64 a b) 4)))
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (pow.f64 (cbrt.f64 (*.f64 a b)) 2))
(pow.f64 (cbrt.f64 (*.f64 b a)) 4)
(.f64 (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) 8)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 b a)) 2)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 8)))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8)))) 4))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (cbrt.f64 (pow.f64 b 4)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) 1) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 b a)) 2)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 8)))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8)))) 4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2)) 3) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 a b)) 2)) 3))
(pow.f64 (cbrt.f64 (*.f64 b a)) 4)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 a b) 8)))) 3) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 b a) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (.f64 a b) 4)))
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(.f64 (pow.f64 (pow.f64 (.f64 a b) 2) 1/3) (pow.f64 (pow.f64 (*.f64 a b) 2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 b a) 2)) (cbrt.f64 (pow.f64 (*.f64 b a) 2)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 b a) 2) 1/6) 4)
(*.f64 (pow.f64 (pow.f64 a 4) 1/3) (pow.f64 (pow.f64 b 4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 a 4)) (cbrt.f64 (pow.f64 b 4)))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 8)))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 b a) 8)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4)))))
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(cbrt.f64 (pow.f64 (*.f64 a b) 4))
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 a b))) 1/3))
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 a b) 4))) 1))
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 4 (log.f64 b) (*.f64 4 (log.f64 a)))) 3)
(pow.f64 (pow.f64 (exp.f64 1/9) (.f64 4 (log.f64 (.f64 b a)))) 3)
(pow.f64 (exp.f64 (.f64 4/9 (log.f64 (.f64 b a)))) 3)
(cbrt.f64 (pow.f64 (*.f64 b a) 4))

localize27.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 2)
	0.5b	(pow.f64 (cbrt.f64 (*.f64 a b)) 2)
	9.8b	(cbrt.f64 (*.f64 a b))
✓	23.6b	(cbrt.f64 (pow.f64 (*.f64 a b) 2))

Compiler

Compiled 68 to 34 computations (50% saved)

series2.0ms (0.1%)

Counts

2 → 0

Calls

12 calls:

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

rewrite59.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1608×	`*-un-lft-identity`
1490×	`add-cube-cbrt`
1470×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	202	34
2	2297	34

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1040×	`associate-r`
882×	`*-commutative`
872×	`associate-l`
532×	`distribute-lft-in`
502×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1071
1	184	1021
2	599	985
3	3165	895
4	6608	895

Stop Event

1×	node limit

Counts

43 → 50

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

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

localize21.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (*.f64 (cbrt.f64 b) (cbrt.f64 a)) 2)
✓	0.6b	(cbrt.f64 a)
✓	0.6b	(cbrt.f64 b)
	23.8b	(cbrt.f64 (pow.f64 (*.f64 a b) 4))

Compiler

Compiled 65 to 28 computations (56.9% saved)

series2.0ms (0.1%)

Counts

3 → 0

Calls

12 calls:

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

rewrite93.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1648×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	198	27
2	2241	27

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

Outputs

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

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

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

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1838×	`distribute-rgt-in`
1788×	`distribute-lft-in`
1144×	`unswap-sqr`
462×	`*-commutative`
372×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	844
1	257	844
2	1002	844
3	3584	838

Stop Event

1×	node limit

Counts

66 → 80

Calls

Call 1

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

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

eval143.0ms (4%)

Compiler: Compiled 7270 to 4201 computations (42.2% saved)

prune81.0ms (2.2%)

Pruning

15 alts after pruning (1 fresh and 14 done)

	Pruned	Kept	Total
New	362	1	363
Fresh	0	0	0
Picked	0	1	1
Done	1	13	14
Total	363	15	378

Error

Counts

378 → 15

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))
✓	36.0b	(.f64 (.f64 b b) (*.f64 a a))
✓	5.1b	(.f64 (.f64 a (*.f64 a b)) (neg.f64 b))
✓	21.8b	(.f64 (.f64 a a) (neg.f64 (*.f64 b b)))
✓	6.3b	(.f64 a (.f64 b (*.f64 b (neg.f64 a))))
✓	35.9b	(.f64 a (.f64 b (*.f64 a b)))
✓	35.9b	(.f64 a (.f64 a (*.f64 b b)))
✓	16.3b	(neg.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 a)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
✓	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 2)))
✓	16.4b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3)))
✓	0.8b	(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))))
✓	16.6b	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
✓	0.2b	(neg.f64 (.f64 (.f64 a b) (*.f64 a b)))
	26.9b	(neg.f64 (.f64 (cbrt.f64 (.f64 (.f64 b b) (.f64 a a))) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
✓	16.1b	(neg.f64 (sqrt.f64 (pow.f64 (*.f64 a b) 4)))

Compiler

Compiled 187 to 120 computations (35.8% saved)

regimes69.0ms (1.9%)

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 a (.f64 a (*.f64 b b)))
(.f64 a (.f64 b (*.f64 a 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 (.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))
(neg.f64 (.f64 (cbrt.f64 (.f64 (.f64 b b) (.f64 a a))) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (.f64 (cbrt.f64 (.f64 a b)) (*.f64 a b))))
(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(neg.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 b) (cbrt.f64 a)) 2) (cbrt.f64 (pow.f64 (*.f64 a b) 4))))
(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 2)) 2)))
(neg.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 a b)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 a b) 4))) 3)))

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

Calls

5 calls:

38.0ms	(.f64 (.f64 (*.f64 a a) b) b)
9.0ms	a
8.0ms	b
5.0ms	(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))
4.0ms	(*.f64 a a)

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`(neg.f64 (.f64 (.f64 (*.f64 a a) b) b))`
0.2b	1	`(.f64 (.f64 (*.f64 a a) b) b)`
0.2b	1	`(*.f64 a a)`

Compiler

Compiled 209 to 102 computations (51.2% saved)

regimes10.0ms (0.3%)

Accuracy

Total -0.2b remaining (-0.6%)

Threshold costs -0.2b (-0.6%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	a
3.0ms	b
2.0ms	(*.f64 a a)

Results

Error	Segments	Branch
35.9b	1	`a`
35.9b	1	`b`
35.9b	1	`(*.f64 a a)`

Compiler

Compiled 34 to 17 computations (50% saved)

simplify7.0ms (0.2%)

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)

soundness122.0ms (3.3%)

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)