Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample671.0ms (45.7%)

Results

660.0ms	8256×	body	256	valid
0.0ms	6×	body	256	invalid

Bogosity

preprocess147.0ms (10%)

Algorithm

2×	egg-herbie

Rules

1212×	`+-commutative`
1106×	`distribute-lft-in`
1032×	`*-commutative`
962×	`distribute-rgt-in`
904×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	15	17
2	23	17
3	34	17
4	50	17
5	87	17
6	141	17
7	312	17
8	892	17
9	1737	17
10	3073	17
11	5153	17
12	6204	17
13	6616	17
14	6904	17
15	7040	17
16	7117	17
17	7412	17
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify141.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

1212×	`+-commutative`
1106×	`distribute-lft-in`
1032×	`*-commutative`
962×	`distribute-rgt-in`
904×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	15	17
2	23	17
3	34	17
4	50	17
5	87	17
6	141	17
7	312	17
8	892	17
9	1737	17
10	3073	17
11	5153	17
12	6204	17
13	6616	17
14	6904	17
15	7040	17
16	7117	17
17	7412	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))

eval1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	0	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite53.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`add-sqr-sqrt`
1512×	`*-un-lft-identity`
1410×	`add-cube-cbrt`
1400×	`add-cbrt-cube`
1394×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	163	17
2	2006	17

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

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

Outputs

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

simplify70.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-/r/`
738×	`*-commutative`
716×	`associate--r+`
680×	`unswap-sqr`
596×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1318
1	275	1170
2	790	1042
3	2409	994
4	6659	994

Stop Event

1×	node limit

Counts

36 → 86

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 -1/2 x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 -1/16 (pow.f64 x 6) (.f64 x (.f64 -1/2 x)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1))))
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (/.f64 1/8 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (-.f64 (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (sqrt.f64 -1)))))
(+.f64 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)) (-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3))))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/8 (*.f64 x x)) 1/2)))
(-.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 -1)) (+.f64 1/2 (/.f64 1/8 (*.f64 x x)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(neg.f64 (*.f64 x (sqrt.f64 -1)))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (neg.f64 (.f64 x (sqrt.f64 -1))) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (/.f64 (/.f64 -1/2 x) (sqrt.f64 -1)) (*.f64 x (sqrt.f64 -1)))
(-.f64 (/.f64 -1/2 (.f64 x (sqrt.f64 -1))) (.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (-.f64 (neg.f64 (.f64 x (sqrt.f64 -1))) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))))
(-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(-.f64 (+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (neg.f64 (.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (neg.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))) (/.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)))
(+.f64 (-.f64 (/.f64 (/.f64 -1/8 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))) (/.f64 -1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(-.f64 (.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/8 (.f64 x x)) 1/2)) (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(-.f64 (.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 -1)) (+.f64 1/2 (/.f64 1/8 (.f64 x x)))) (fma.f64 x (sqrt.f64 -1) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (neg.f64 (fma.f64 x x -1))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (fma.f64 x (neg.f64 x) 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (fma.f64 x x -1)))) (cbrt.f64 (neg.f64 (fma.f64 x x -1))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x x -1))) 3/2)
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 (.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (fabs.f64 (cbrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))))
(pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x x -1))) 3/2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (hypot.f64 1 x))
(pow.f64 (-.f64 1 (*.f64 x x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))
(cbrt.f64 (pow.f64 (neg.f64 (fma.f64 x x -1)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))
(cbrt.f64 (pow.f64 (neg.f64 (fma.f64 x x -1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(+.f64 1 (-.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 1))
(+.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) 0)
(sqrt.f64 (fma.f64 x (neg.f64 x) 1))
(sqrt.f64 (neg.f64 (fma.f64 x x -1)))

eval25.0ms (1.7%)

Compiler: Compiled 1270 to 986 computations (22.4% saved)

prune11.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Error

Counts

87 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
▶	0b	(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
	0.9b	1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (*.f64 x (neg.f64 x)))
✓	0.0b	(.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2)

Compiler

Compiled 29 to 10 computations (65.5% saved)

series3.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2)
1.0ms	x	@	inf	(.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2)
0.0ms	x	@	-inf	(.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2)
0.0ms	x	@	inf	(log1p.f64 (*.f64 x (neg.f64 x)))
0.0ms	x	@	-inf	(log1p.f64 (*.f64 x (neg.f64 x)))

rewrite54.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`add-sqr-sqrt`
1364×	`*-un-lft-identity`
1266×	`add-cube-cbrt`
1254×	`add-cbrt-cube`
1238×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	181	28
2	2147	28

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2)
(log1p.f64 (*.f64 x (neg.f64 x)))

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

Outputs

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

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

simplify58.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1068×	`distribute-lft-in`
1044×	`associate-+l-`
992×	`distribute-rgt-in`
842×	`fma-def`
782×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1844
1	355	1552
2	1303	1380
3	3960	1380

Stop Event

1×	node limit

Counts

52 → 133

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))
(fma.f64 -1/4 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))
(+.f64 (.f64 -1/6 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1/2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4))))
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1/4 (pow.f64 x 4) (.f64 -1/2 (.f64 x x))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (.f64 -1/6 (pow.f64 x 6))))
(+.f64 (.f64 -1/6 (pow.f64 x 6)) (+.f64 (.f64 -1/8 (pow.f64 x 8)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 8) (fma.f64 -1/2 (.f64 x x) (.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 8) (fma.f64 -1/4 (pow.f64 x 4) (.f64 -1/2 (.f64 x x)))))
(fma.f64 -1/6 (pow.f64 x 6) (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (.f64 -1/8 (pow.f64 x 8)))))
(.f64 1/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))))
(.f64 1/2 (+.f64 (log.f64 -1) (.f64 -2 (neg.f64 (log.f64 x)))))
(*.f64 1/2 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)))
(fma.f64 1/2 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(fma.f64 1/2 (+.f64 (log.f64 -1) (.f64 -2 (neg.f64 (log.f64 x)))) (neg.f64 (/.f64 1/2 (.f64 x x))))
(fma.f64 1/2 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x)))
(fma.f64 1/2 (log.f64 -1) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (/.f64 -1/2 x) x)))
(-.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 1/2 (+.f64 (log.f64 -1) (.f64 -2 (neg.f64 (log.f64 x)))) (neg.f64 (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(-.f64 (fma.f64 1/2 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (fma.f64 1/2 (log.f64 -1) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (/.f64 -1/2 x) x))) (/.f64 -1/4 (pow.f64 x 4)))
(+.f64 (fma.f64 1/2 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1/4 (pow.f64 x 4)))
(-.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -2 (neg.f64 (log.f64 x))))) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/6 (pow.f64 x 6)))))
(-.f64 (-.f64 (fma.f64 1/2 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6)))
(+.f64 (fma.f64 1/2 (log.f64 -1) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 -1/4 (pow.f64 x 4)))) (+.f64 (/.f64 (/.f64 -1/2 x) x) (/.f64 -1/6 (pow.f64 x 6))))
(+.f64 (fma.f64 1/2 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (-.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 1/6 (pow.f64 x 6))))
(.f64 1/2 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(*.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(fma.f64 1/2 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (.f64 1/2 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 1/2 (log.f64 -1) (/.f64 (/.f64 -1/2 x) x)))
(-.f64 (.f64 1/2 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))
(-.f64 (fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 1/2 (log.f64 -1) (/.f64 (/.f64 -1/2 x) x))) (/.f64 -1/4 (pow.f64 x 4)))
(fma.f64 1/2 (+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) (/.f64 -1/4 (pow.f64 x 4)))
(-.f64 (.f64 1/2 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/6 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 1/6 (pow.f64 x 6)))))
(-.f64 (-.f64 (fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/6 (pow.f64 x 6)))
(+.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 1/2 (log.f64 -1) (/.f64 (/.f64 -1/2 x) x))) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 -1/6 (pow.f64 x 6)))
(+.f64 (fma.f64 1/2 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/2 (*.f64 x x))) (-.f64 (/.f64 -1/4 (pow.f64 x 4)) (/.f64 1/6 (pow.f64 x 6))))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 -1 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 4) (neg.f64 (*.f64 x x)))
(fma.f64 -1/2 (pow.f64 x 4) (*.f64 x (neg.f64 x)))
(-.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (*.f64 -1 (pow.f64 x 2))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (neg.f64 (*.f64 x x))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 4) (.f64 (pow.f64 x 6) -1/3)) (.f64 x x))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 6) -1/3) (.f64 x x)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 8)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (.f64 x x) (.f64 -1/4 (pow.f64 x 8)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 (pow.f64 x 6) -1/3 (-.f64 (.f64 -1/4 (pow.f64 x 8)) (.f64 x x))))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (fma.f64 (pow.f64 x 6) -1/3 (.f64 -1/4 (pow.f64 x 8))) (.f64 x x)))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (fma.f64 -1/4 (pow.f64 x 8) (.f64 (pow.f64 x 6) -1/3)) (.f64 x x)))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x))))
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (*.f64 2 (log.f64 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1 (.f64 x x))))
(+.f64 (log.f64 -1) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 -1) (.f64 2 (log.f64 x))) (/.f64 -1 (.f64 x x)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (log.f64 x)) (-.f64 (/.f64 -1 (.f64 x x)) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1/2 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (log.f64 x)) (+.f64 (-.f64 (/.f64 -1 (.f64 x x)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 -1/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1/2 (pow.f64 x 4))) (/.f64 -1/3 (pow.f64 x 6))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 (*.f64 x x)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1 (*.f64 x x)))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1/2 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 1/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 -1/3 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/2 (pow.f64 x 4))) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1/3 (pow.f64 x 6))))
(-.f64 (+.f64 1 (.f64 (log1p.f64 (.f64 x x)) 1/2)) 1)
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(pow.f64 (.f64 (log1p.f64 (.f64 x x)) 1/2) 1)
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (.f64 (log1p.f64 (.f64 x x)) 1/2)) 2)
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (.f64 (log1p.f64 (.f64 x x)) 1/2)) 3)
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(pow.f64 (pow.f64 (.f64 (log1p.f64 (.f64 x x)) 1/2) 3) 1/3)
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(sqrt.f64 (.f64 1/4 (pow.f64 (log1p.f64 (.f64 x x)) 2)))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 1 x)) 2))
(fabs.f64 (log.f64 (hypot.f64 1 x)))
(log.f64 (pow.f64 (+.f64 1 (*.f64 x x)) 1/2))
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (.f64 (log1p.f64 (.f64 x x)) 1/2) 3))
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (.f64 (log1p.f64 (.f64 x x)) 1/2)))
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(exp.f64 (log.f64 (.f64 (log1p.f64 (.f64 x x)) 1/2)))
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(exp.f64 (.f64 (log.f64 (.f64 (log1p.f64 (*.f64 x x)) 1/2)) 1))
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (.f64 (log1p.f64 (.f64 x x)) 1/2)))
(+.f64 1 (-.f64 (.f64 1/2 (log1p.f64 (.f64 x x))) 1))
(+.f64 (log.f64 (hypot.f64 1 x)) 0)
(log.f64 (hypot.f64 1 x))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 x x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(.f64 (log1p.f64 (.f64 x x)) 1)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(.f64 1 (log1p.f64 (.f64 x x)))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x x))) (sqrt.f64 (log1p.f64 (*.f64 x x))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) 2))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x x))) 2) (cbrt.f64 (log1p.f64 (*.f64 x x))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(pow.f64 (log1p.f64 (*.f64 x x)) 1)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x x))) 2)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x x))) 3)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 2))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(log.f64 (+.f64 1 (*.f64 x x)))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x x)) 3))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x x))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x x))))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 x x))) 1))
(+.f64 1 (-.f64 (log1p.f64 (*.f64 x x)) 1))
(+.f64 (log1p.f64 (*.f64 x x)) 0)
(log1p.f64 (*.f64 x x))

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 -1/2 (.f64 x x))
0.0ms	x	@	inf	(.f64 -1/2 (.f64 x x))
0.0ms	x	@	-inf	(.f64 -1/2 (.f64 x x))

rewrite46.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
986×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1409	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 x x))

Outputs

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

simplify37.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
760×	`associate-r`
704×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	93	299
2	347	299
3	1912	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

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

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

eval45.0ms (3.1%)

Compiler: Compiled 2383 to 1766 computations (25.9% saved)

prune18.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	147	4	151

Error

Counts

151 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	0b	(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
	0.9b	1

Compiler

Compiled 26 to 20 computations (23.1% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	0b	(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
	0.9b	1

Compiler

Compiled 26 to 20 computations (23.1% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 1 (.f64 -1/2 (.f64 x x)))
✓	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	0b	(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
	0.9b	1

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes10.0ms (0.7%)

Counts

4 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))

Outputs
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(-.f64 1 (*.f64 x x))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(sqrt.f64 (-.f64 1 (*.f64 x x)))`
0b	1	`(-.f64 1 (*.f64 x x))`
0b	1	`(*.f64 x x)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes10.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Outputs
(sqrt.f64 (-.f64 1 (*.f64 x x)))

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(-.f64 1 (*.f64 x x))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(sqrt.f64 (-.f64 1 (*.f64 x x)))`
0.0b	1	`(-.f64 1 (*.f64 x x))`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 34 to 22 computations (35.3% saved)

regimes6.0ms (0.4%)

Accuracy

Total -0.4b remaining (-83.8%)

Threshold costs -0.4b (-83.8%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/2 (.f64 x x)))

Outputs
(+.f64 1 (.f64 -1/2 (.f64 x x)))

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(*.f64 x x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
8×	`+-commutative`
4×	`neg-mul-1`
4×	`cancel-sign-sub-inv`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	28	62
2	33	62
3	36	62
4	37	62

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
1

Outputs
(exp.f64 (.f64 (log1p.f64 (.f64 x (neg.f64 x))) 1/2))
(exp.f64 (.f64 (log1p.f64 (neg.f64 (.f64 x x))) 1/2))
(sqrt.f64 (-.f64 1 (*.f64 x x)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(+.f64 1 (.f64 (.f64 x x) -1/2))
1

Compiler

Compiled 26 to 20 computations (23.1% saved)

soundness0.0ms (0%)

end24.0ms (1.7%)

Compiler: Compiled 23 to 15 computations (34.8% saved)

Details

analyze4.0ms (0.3%)

sample671.0ms (45.7%)

preprocess147.0ms (10%)

simplify141.0ms (9.6%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

series1.0ms (0.1%)

rewrite53.0ms (3.6%)

simplify70.0ms (4.8%)

eval25.0ms (1.7%)

prune11.0ms (0.7%)

localize9.0ms (0.6%)

series3.0ms (0.2%)

rewrite54.0ms (3.7%)

simplify58.0ms (4%)

localize7.0ms (0.5%)

series1.0ms (0.1%)

rewrite46.0ms (3.1%)

simplify37.0ms (2.5%)

eval45.0ms (3.1%)

prune18.0ms (1.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.2%)

regimes10.0ms (0.7%)

regimes10.0ms (0.7%)

regimes6.0ms (0.4%)

simplify5.0ms (0.4%)

soundness0.0ms (0%)

end24.0ms (1.7%)

Profiling