Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample1.5s (36.7%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess71.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

1516×	`fma-def`
1130×	`*-commutative`
1084×	`distribute-lft-neg-in`
1004×	`+-commutative`
800×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	38	37
2	113	33
3	375	29
4	1214	13
5	3652	13
6	5583	13
7	7353	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))

Outputs
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
(fma.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 -1 (.f64 -2 (.f64 t 1/5000000000000000))))
(+.f64 (fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) -1) (*.f64 -1/2500000000000000 t))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1))
(fma.f64 (.f64 t 1/5000000000000000) (fma.f64 t 1/5000000000000000 2) (.f64 t -1/2500000000000000))
(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify76.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1516×	`fma-def`
1130×	`*-commutative`
1084×	`distribute-lft-neg-in`
1004×	`+-commutative`
800×	`distribute-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	38	37
2	113	33
3	375	29
4	1214	13
5	3652	13
6	5583	13
7	7353	13

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))

Outputs
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
(fma.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 -1 (.f64 -2 (.f64 t 1/5000000000000000))))
(+.f64 (fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) -1) (*.f64 -1/2500000000000000 t))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1))
(fma.f64 (.f64 t 1/5000000000000000) (fma.f64 t 1/5000000000000000 2) (.f64 t -1/2500000000000000))
(.f64 t (.f64 t 1/25000000000000000000000000000000))

eval2.0ms (0%)

Compiler: Compiled 81 to 64 computations (21% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

0.4b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(*.f64 t 1/25000000000000000000000000000000)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	-inf	(*.f64 t 1/25000000000000000000000000000000)
0.0ms	t	@	0	(.f64 t (.f64 t 1/25000000000000000000000000000000))
0.0ms	t	@	inf	(*.f64 t 1/25000000000000000000000000000000)
0.0ms	t	@	0	(*.f64 t 1/25000000000000000000000000000000)
0.0ms	t	@	inf	(.f64 t (.f64 t 1/25000000000000000000000000000000))

rewrite67.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`add-sqr-sqrt`
1084×	`*-un-lft-identity`
1028×	`pow1`
1014×	`add-cube-cbrt`
1000×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	122	20
2	1384	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 t 1/25000000000000000000000000000000)
(.f64 t (.f64 t 1/25000000000000000000000000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))))

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-/l/`
1256×	`fma-def`
954×	`log-prod`
856×	`associate-*r/`
690×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	460
1	144	460
2	604	460
3	2220	460
4	6621	460

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(-.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)
(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)
(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)
(sqrt.f64 (.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))
(exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))
(-.f64 (+.f64 1 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 1)
(pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))

Outputs
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(-.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)
(*.f64 1/25000000000000000000000000000000 t)
(sqrt.f64 (.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(*.f64 1/25000000000000000000000000000000 t)
(expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(-.f64 (+.f64 1 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))

eval5.0ms (0.1%)

Compiler: Compiled 183 to 132 computations (27.9% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	6	26

Error

0.0b

Counts

26 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(pow.f64 (*.f64 t 1/5000000000000000) 2)
▶	0.6b	(.f64 t (pow.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) 2))
▶	1.8b	(.f64 t (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 3))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
▶	0.3b	(.f64 t (sqrt.f64 (.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))
▶	0.4b	(.f64 1/25000000000000000000000000000000 (.f64 t t))

Compiler

Compiled 84 to 62 computations (26.2% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f64 (.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))
✓	0.3b	(.f64 t (sqrt.f64 (.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))
✓	0.3b	(.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)

New

Error

Program

✓

0.2b

(sqrt.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))

✓

0.3b

(*.f64 t (sqrt.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))

✓

0.3b

(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)

Compiler

Compiled 25 to 12 computations (52% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
0.0ms	t	@	0	(.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
0.0ms	t	@	-inf	(.f64 t (sqrt.f64 (.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))
0.0ms	t	@	-inf	(.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
0.0ms	t	@	0	(.f64 t (sqrt.f64 (.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))

rewrite76.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`add-sqr-sqrt`
1562×	`*-un-lft-identity`
1460×	`add-cube-cbrt`
1444×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	181	33
2	2125	33

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)
(.f64 t (sqrt.f64 (.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))
(sqrt.f64 (.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))

Inputs

(*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)

(*.f64 t (sqrt.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))

(sqrt.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 1/25000000000000000000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 t t)) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (.f64 t 1/25000000000000000000000000000000)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 t 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 t (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (.f64 (sqrt.f64 t) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/25000000000000000000000000000000 t)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 t) (sqrt.f64 (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 t) (pow.f64 (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t 1/25000000000000000000000000000000)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 t t)) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 t 1/25000000000000000000000000000000)) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) (*.f64 (sqrt.f64 t) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (sqrt.f64 (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (pow.f64 (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))))

simplify109.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

892×	`*-commutative`
718×	`log-prod`
702×	`associate-/l*`
512×	`distribute-lft-in`
502×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1030
1	275	1018
2	1018	1010
3	3487	1010
4	6294	1010

Stop Event

1×	node limit

Counts

92 → 68

Calls

Call 1

Inputs
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 -1/25000000000000000000000000000000 t)
(-.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))) 1)
(pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 1)
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 3)
(pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 1/2)
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 3) 1/3)
(sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
(log.f64 (pow.f64 (exp.f64 (*.f64 t t)) 1/625000000000000000000000000000000000000000000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))) 1))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))) 1)
(pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)
(pow.f64 (sqrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 2)
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 t 1/25000000000000000000000000000000)) t))
(log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000))) 1)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 t (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2))
(.f64 (.f64 t 1/25000000000000000000000000000000) 1)
(.f64 1 (.f64 t 1/25000000000000000000000000000000))
(.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (*.f64 (sqrt.f64 t) 1/5000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (sqrt.f64 t) (sqrt.f64 (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))
(.f64 (sqrt.f64 t) (pow.f64 (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000) 1/2))
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))
(*.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t)
(.f64 (pow.f64 1 1/2) (.f64 t 1/25000000000000000000000000000000))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 1/2))
(pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 1/2)
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)
(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)
(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)
(fabs.f64 (*.f64 t 1/25000000000000000000000000000000))
(log.f64 (exp.f64 (*.f64 t 1/25000000000000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))
(exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))

Outputs
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) -1/25000000000000000000000000000000)
(.f64 t (.f64 t -1/25000000000000000000000000000000))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) -1/25000000000000000000000000000000)
(.f64 t (.f64 t -1/25000000000000000000000000000000))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) -1/25000000000000000000000000000000)
(.f64 t (.f64 t -1/25000000000000000000000000000000))
(*.f64 -1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 (.f64 t t) -1/25000000000000000000000000000000)
(.f64 t (.f64 t -1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 t -1/25000000000000000000000000000000)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 t -1/25000000000000000000000000000000)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 t -1/25000000000000000000000000000000)
(*.f64 -1/25000000000000000000000000000000 t)
(*.f64 t -1/25000000000000000000000000000000)
(-.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))) 1)
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 1)
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 2)
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 3)
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(pow.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)) 1/2)
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 3) 1/3)
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(sqrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(log.f64 (pow.f64 (exp.f64 (*.f64 t t)) 1/625000000000000000000000000000000000000000000000000000000000000))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 3))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(exp.f64 (.f64 (log.f64 (.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))) 1))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))))
(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/625000000000000000000000000000000000000000000000000000000000000 t))
(-.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))) 1)
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(pow.f64 (sqrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 2)
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 (*.f64 t 1/25000000000000000000000000000000)) t))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(exp.f64 (.f64 (log.f64 (.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000))) 1)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 t (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2))
(*.f64 t 1/25000000000000000000000000000000)
(.f64 (.f64 t 1/25000000000000000000000000000000) 1)
(*.f64 t 1/25000000000000000000000000000000)
(.f64 1 (.f64 t 1/25000000000000000000000000000000))
(*.f64 t 1/25000000000000000000000000000000)
(.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (*.f64 (sqrt.f64 t) 1/5000000000000000))
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(.f64 (sqrt.f64 t) (sqrt.f64 (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))
(*.f64 t 1/25000000000000000000000000000000)
(.f64 (sqrt.f64 t) (pow.f64 (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000) 1/2))
(*.f64 t 1/25000000000000000000000000000000)
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))
(*.f64 t 1/25000000000000000000000000000000)
(.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 t 1/25000000000000000000000000000000)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))) (fabs.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (sqrt.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))))
(*.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t)
(*.f64 t 1/25000000000000000000000000000000)
(.f64 (pow.f64 1 1/2) (.f64 t 1/25000000000000000000000000000000))
(*.f64 t 1/25000000000000000000000000000000)
(.f64 (pow.f64 (cbrt.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))) (fabs.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (sqrt.f64 (cbrt.f64 (*.f64 1/390625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))))
(pow.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) 1/2)
(*.f64 t 1/25000000000000000000000000000000)
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)
(*.f64 t 1/25000000000000000000000000000000)
(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)
(*.f64 t 1/25000000000000000000000000000000)
(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)
(*.f64 t 1/25000000000000000000000000000000)
(pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)
(*.f64 t 1/25000000000000000000000000000000)
(fabs.f64 (*.f64 t 1/25000000000000000000000000000000))
(*.f64 t 1/25000000000000000000000000000000)
(log.f64 (exp.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 t 1/25000000000000000000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000))))
(*.f64 t 1/25000000000000000000000000000000)
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(*.f64 t 1/25000000000000000000000000000000)
(expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 t 1/25000000000000000000000000000000)
(exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 t 1/25000000000000000000000000000000)
(exp.f64 (.f64 (log.f64 (.f64 t (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))) 1/2))
(*.f64 t 1/25000000000000000000000000000000)
(exp.f64 (.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)) 1))
(*.f64 t 1/25000000000000000000000000000000)
(log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 t 1/25000000000000000000000000000000)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 1/25000000000000000000000000000000 (.f64 t t))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(.f64 1/25000000000000000000000000000000 (.f64 t t))
0.0ms	t	@	inf	(.f64 1/25000000000000000000000000000000 (.f64 t t))
0.0ms	t	@	-inf	(.f64 1/25000000000000000000000000000000 (.f64 t t))

rewrite48.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`add-sqr-sqrt`
1052×	`*-un-lft-identity`
1000×	`pow1`
986×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	123	13
2	1410	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 1/25000000000000000000000000000000 (.f64 t t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))))

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1554×	`distribute-rgt-in`
1528×	`distribute-lft-in`
1292×	`log-prod`
826×	`associate-r`
768×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	93	299
2	346	299
3	2095	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(-.f64 (+.f64 1 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 1)
(pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 1)
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 3)
(pow.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 3) 1/3)
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
(log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t)))
(cbrt.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 3))
(expm1.f64 (log1p.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
(exp.f64 (log.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
(log1p.f64 (expm1.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))

Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(-.f64 (+.f64 1 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 3) 1/3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) (*.f64 t t)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(cbrt.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 3))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(expm1.f64 (log1p.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(exp.f64 (log.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(log1p.f64 (expm1.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 t 1/5000000000000000)
✓	0.4b	(pow.f64 (*.f64 t 1/5000000000000000) 2)

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	-inf	(pow.f64 (*.f64 t 1/5000000000000000) 2)
0.0ms	t	@	0	(pow.f64 (*.f64 t 1/5000000000000000) 2)
0.0ms	t	@	inf	(pow.f64 (*.f64 t 1/5000000000000000) 2)
0.0ms	t	@	0	(*.f64 t 1/5000000000000000)
0.0ms	t	@	-inf	(*.f64 t 1/5000000000000000)

rewrite52.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`add-sqr-sqrt`
1168×	`*-un-lft-identity`
1112×	`pow1`
1092×	`add-cube-cbrt`
1084×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	147	20
2	1577	20

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 t 1/5000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 1/5000000000000000 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/5000000000000000 (*.f64 t (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) (*.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) (cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) (*.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4)) (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t t) 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 (*.f64 t 1/5000000000000000))) (sqrt.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 1/5000000000000000) (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000))) (cbrt.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 t 1/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 t 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/5000000000000000) t))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/5000000000000000)))))))

simplify95.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1348×	`distribute-lft-in`
1314×	`distribute-rgt-in`
668×	`unswap-sqr`
602×	`fma-def`
596×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	669
1	180	669
2	785	669
3	2513	669
4	7895	669

Stop Event

1×	node limit

Counts

59 → 42

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(*.f64 1/5000000000000000 t)
(-.f64 (+.f64 1 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 1)
(.f64 t (.f64 1/5000000000000000 (*.f64 t 1/5000000000000000)))
(.f64 1/5000000000000000 (.f64 t (*.f64 t 1/5000000000000000)))
(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
(.f64 (.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)
(.f64 1 (.f64 (*.f64 t t) 1/25000000000000000000000000000000))
(.f64 (sqrt.f64 (.f64 t 1/5000000000000000)) (.f64 (sqrt.f64 (.f64 t 1/5000000000000000)) (*.f64 t 1/5000000000000000)))
(.f64 (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) (cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 4)))
(.f64 (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) (.f64 (cbrt.f64 (.f64 t 1/5000000000000000)) (.f64 t 1/5000000000000000)))
(.f64 (cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 4)) (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 (.f64 t t) 1/25000000000000000000000000000000)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 (.f64 (.f64 t 1/5000000000000000) (sqrt.f64 (.f64 t 1/5000000000000000))) (sqrt.f64 (*.f64 t 1/5000000000000000)))
(.f64 (.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
(.f64 (.f64 (.f64 t 1/5000000000000000) (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000))) (cbrt.f64 (.f64 t 1/5000000000000000)))
(sqrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4))
(log.f64 (exp.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(exp.f64 (.f64 2 (log.f64 (.f64 t 1/5000000000000000))))
(log1p.f64 (expm1.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(-.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) 1)
(pow.f64 (*.f64 t 1/5000000000000000) 1)
(pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 1/2)
(pow.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3) 1/3)
(sqrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000))
(fabs.f64 (*.f64 t 1/5000000000000000))
(log.f64 (pow.f64 (exp.f64 1/5000000000000000) t))
(cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 t 1/5000000000000000)))
(exp.f64 (log.f64 (*.f64 t 1/5000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 t 1/5000000000000000)))

Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(*.f64 1/5000000000000000 t)
(*.f64 t 1/5000000000000000)
(-.f64 (+.f64 1 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 t (.f64 1/5000000000000000 (*.f64 t 1/5000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 1/5000000000000000 (.f64 t (*.f64 t 1/5000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 (.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 1 (.f64 (*.f64 t t) 1/25000000000000000000000000000000))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 (sqrt.f64 (.f64 t 1/5000000000000000)) (.f64 (sqrt.f64 (.f64 t 1/5000000000000000)) (*.f64 t 1/5000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) (cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 4)))
(.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))) (cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 2)) (cbrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))))
(.f64 (cbrt.f64 (.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2))
(.f64 (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) (.f64 (cbrt.f64 (.f64 t 1/5000000000000000)) (.f64 t 1/5000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 (cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 4)) (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))) (cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 4)))
(.f64 (cbrt.f64 (pow.f64 (.f64 t 1/5000000000000000) 2)) (cbrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))))
(.f64 (cbrt.f64 (.f64 1/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 4))) (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2))
(.f64 (.f64 t t) 1/25000000000000000000000000000000)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 (.f64 (.f64 t 1/5000000000000000) (sqrt.f64 (.f64 t 1/5000000000000000))) (sqrt.f64 (*.f64 t 1/5000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 (.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 (.f64 (.f64 t 1/5000000000000000) (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000))) (cbrt.f64 (.f64 t 1/5000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(sqrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(log.f64 (exp.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(cbrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(expm1.f64 (log1p.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(exp.f64 (.f64 2 (log.f64 (.f64 t 1/5000000000000000))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(log1p.f64 (expm1.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(-.f64 (+.f64 1 (*.f64 t 1/5000000000000000)) 1)
(*.f64 t 1/5000000000000000)
(pow.f64 (*.f64 t 1/5000000000000000) 1)
(*.f64 t 1/5000000000000000)
(pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 1/2)
(*.f64 t 1/5000000000000000)
(pow.f64 (sqrt.f64 (*.f64 t 1/5000000000000000)) 2)
(*.f64 t 1/5000000000000000)
(pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 3)
(*.f64 t 1/5000000000000000)
(pow.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3) 1/3)
(*.f64 t 1/5000000000000000)
(sqrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000))
(*.f64 t 1/5000000000000000)
(fabs.f64 (*.f64 t 1/5000000000000000))
(*.f64 t 1/5000000000000000)
(log.f64 (pow.f64 (exp.f64 1/5000000000000000) t))
(*.f64 t 1/5000000000000000)
(cbrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 3))
(*.f64 t 1/5000000000000000)
(expm1.f64 (log1p.f64 (*.f64 t 1/5000000000000000)))
(*.f64 t 1/5000000000000000)
(exp.f64 (log.f64 (*.f64 t 1/5000000000000000)))
(*.f64 t 1/5000000000000000)
(log1p.f64 (expm1.f64 (*.f64 t 1/5000000000000000)))
(*.f64 t 1/5000000000000000)

localize32.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 t (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 3))
	0.4b	(*.f64 t 1/25000000000000000000000000000000)
✓	0.8b	(cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))
✓	0.9b	(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)

Compiler

Compiled 25 to 19 computations (24% saved)

series11.0ms (0.3%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	t	@	-inf	(.f64 t (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 3))
2.0ms	t	@	0	(.f64 t (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 3))
2.0ms	t	@	0	(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)
1.0ms	t	@	-inf	(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)
1.0ms	t	@	inf	(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)

rewrite99.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1508×	`add-cube-cbrt`
1490×	`add-cbrt-cube`
170×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	207	31
2	2140	31

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)
(cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))
(.f64 t (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (pow.f64 (cbrt.f64 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) (*.f64 1/5000000000000000 (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6) (*.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 t) (*.f64 (cbrt.f64 1/25000000000000000000000000000000) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t t)) (*.f64 (cbrt.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/25000000000000000000000000000000 (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/25000000000000000000000000000000 (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 1) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6)) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 t)) (cbrt.f64 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6) 3) (pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 2) 3) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/25000000000000000000000000000000) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 2) (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 t) (cbrt.f64 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 1/3) (pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) t) t))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))))

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1478×	`fma-def`
716×	`log-prod`
554×	`+-commutative`
508×	`distribute-rgt-in`
508×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	931
1	301	931
2	1055	931
3	3206	919
4	7151	919

Stop Event

1×	node limit

Counts

79 → 78

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000))) 1)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 t (pow.f64 (cbrt.f64 1/25000000000000000000000000000000) 3))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))
(.f64 (.f64 t 1/25000000000000000000000000000000) 1)
(.f64 1 (.f64 t 1/25000000000000000000000000000000))
(.f64 (.f64 1/5000000000000000 (sqrt.f64 t)) (*.f64 1/5000000000000000 (sqrt.f64 t)))
(.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 1/6) (.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 1/6) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))
(.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) 1/25000000000000000000000000000000))
(.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))
(.f64 (cbrt.f64 t) (.f64 (cbrt.f64 1/25000000000000000000000000000000) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))
(.f64 (cbrt.f64 (.f64 t t)) (*.f64 (cbrt.f64 t) 1/25000000000000000000000000000000))
(.f64 (.f64 1/25000000000000000000000000000000 (sqrt.f64 t)) (sqrt.f64 t))
(.f64 (.f64 1/25000000000000000000000000000000 (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) 1) (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (pow.f64 (.f64 t 1/25000000000000000000000000000000) 1/6)) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 t)) (cbrt.f64 1/25000000000000000000000000000000))
(.f64 (pow.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 1/6) 3) (pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) 2) 3) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))
(sqrt.f64 (.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t)))
(log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) t))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))
(exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))) 1)
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 1)
(.f64 1 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)))
(.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 1/6) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6))
(*.f64 (cbrt.f64 1/25000000000000000000000000000000) (cbrt.f64 t))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) 2) (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(*.f64 (cbrt.f64 t) (cbrt.f64 1/25000000000000000000000000000000))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)))
(.f64 (pow.f64 (.f64 1/5000000000000000 (sqrt.f64 t)) 1/3) (pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 1/3))
(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 1)
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/3)
(pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) 1))
(exp.f64 (.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))) 1)
(pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)
(pow.f64 (sqrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 2)
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) t) t))
(log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))

Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000))) 1)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t (pow.f64 (cbrt.f64 1/25000000000000000000000000000000) 3))
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 t 1/25000000000000000000000000000000) 1)
(*.f64 1/25000000000000000000000000000000 t)
(.f64 1 (.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 1/5000000000000000 (sqrt.f64 t)) (*.f64 1/5000000000000000 (sqrt.f64 t)))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 1/6) (.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 1/6) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (cbrt.f64 t) (.f64 (cbrt.f64 1/25000000000000000000000000000000) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2)))
(.f64 (.f64 (cbrt.f64 1/25000000000000000000000000000000) (cbrt.f64 t)) (pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 t)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 t)) 2) (*.f64 (cbrt.f64 1/25000000000000000000000000000000) (cbrt.f64 t)))
(.f64 (cbrt.f64 1/25000000000000000000000000000000) (.f64 (pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 t)) 2) (cbrt.f64 t)))
(.f64 (cbrt.f64 (.f64 t t)) (*.f64 (cbrt.f64 t) 1/25000000000000000000000000000000))
(.f64 (cbrt.f64 (.f64 t t)) (*.f64 1/25000000000000000000000000000000 (cbrt.f64 t)))
(.f64 (cbrt.f64 t) (.f64 1/25000000000000000000000000000000 (cbrt.f64 (*.f64 t t))))
(.f64 1/25000000000000000000000000000000 (.f64 (cbrt.f64 t) (cbrt.f64 (*.f64 t t))))
(.f64 (.f64 1/25000000000000000000000000000000 (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 1/25000000000000000000000000000000 (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))
(.f64 (cbrt.f64 (.f64 t t)) (*.f64 1/25000000000000000000000000000000 (cbrt.f64 t)))
(.f64 (cbrt.f64 t) (.f64 1/25000000000000000000000000000000 (cbrt.f64 (*.f64 t t))))
(.f64 1/25000000000000000000000000000000 (.f64 (cbrt.f64 t) (cbrt.f64 (*.f64 t t))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) 1) (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (pow.f64 (.f64 t 1/25000000000000000000000000000000) 1/6)) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 t)) (cbrt.f64 1/25000000000000000000000000000000))
(.f64 (.f64 (cbrt.f64 1/25000000000000000000000000000000) (cbrt.f64 t)) (pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 t)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 t)) 2) (*.f64 (cbrt.f64 1/25000000000000000000000000000000) (cbrt.f64 t)))
(.f64 (cbrt.f64 1/25000000000000000000000000000000) (.f64 (pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 t)) 2) (cbrt.f64 t)))
(.f64 (pow.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 1/6) 3) (pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6) 3))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) 2) 3) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(sqrt.f64 (.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t)))
(*.f64 1/25000000000000000000000000000000 t)
(log.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) t))
(*.f64 1/25000000000000000000000000000000 t)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000))))
(*.f64 1/25000000000000000000000000000000 t)
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(*.f64 1/25000000000000000000000000000000 t)
(expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(exp.f64 (.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)) 1))
(*.f64 1/25000000000000000000000000000000 t)
(log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))) 1)
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 1)
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(.f64 1 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 1/6) (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(*.f64 (cbrt.f64 1/25000000000000000000000000000000) (cbrt.f64 t))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 2))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) 1/3))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) 2) (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(*.f64 (cbrt.f64 t) (cbrt.f64 1/25000000000000000000000000000000))
(*.f64 (cbrt.f64 1/25000000000000000000000000000000) (cbrt.f64 t))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(.f64 (pow.f64 (.f64 1/5000000000000000 (sqrt.f64 t)) 1/3) (pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 1/3))
(.f64 (cbrt.f64 (.f64 1/5000000000000000 (sqrt.f64 t))) (cbrt.f64 (*.f64 1/5000000000000000 (sqrt.f64 t))))
(pow.f64 (pow.f64 (*.f64 1/5000000000000000 (sqrt.f64 t)) 1/6) 4)
(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 1)
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/6) 2)
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) 3)
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) 1))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(exp.f64 (.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)) 1/3))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))))
(cbrt.f64 (*.f64 1/25000000000000000000000000000000 t))
(-.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (sqrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 2)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/25000000000000000000000000000000) t) t))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(exp.f64 (.f64 (log.f64 (.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 t (pow.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) 2))
✓	0.3b	(*.f64 (sqrt.f64 t) 1/5000000000000000)
✓	0.4b	(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)

Compiler

Compiled 24 to 15 computations (37.5% saved)

series4.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)
1.0ms	t	@	-inf	(.f64 t (pow.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) 2))
1.0ms	t	@	0	(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)
0.0ms	t	@	inf	(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)
0.0ms	t	@	-inf	(*.f64 (sqrt.f64 t) 1/5000000000000000)

rewrite63.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`add-sqr-sqrt`
1664×	`*-un-lft-identity`
1550×	`add-cube-cbrt`
1534×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	204	31
2	2269	31

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(.f64 t (pow.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t 1/25000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 t) (*.f64 1/5000000000000000 (*.f64 (sqrt.f64 t) 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/5000000000000000 (sqrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) (*.f64 (sqrt.f64 t) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) (*.f64 (sqrt.f64 t) 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) (*.f64 (sqrt.f64 t) 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/25000000000000000000000000000000 t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) (sqrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))) (sqrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 1/5000000000000000) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000))) (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 t 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) 1/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))))))))

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-*r/`
1020×	`unswap-sqr`
868×	`associate-*l/`
538×	`distribute-lft-in`
522×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	780
1	265	760
2	1105	754
3	4327	754

Stop Event

1×	node limit

Counts

64 → 61

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 -1/25000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 t 2)))
(.f64 -1/25000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 t 2)))
(.f64 -1/25000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 t 2)))
(.f64 -1/25000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 t 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000))) 1)
(*.f64 t 1/25000000000000000000000000000000)
(.f64 (sqrt.f64 t) (.f64 1/5000000000000000 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(.f64 1/5000000000000000 (sqrt.f64 (.f64 t (*.f64 t 1/25000000000000000000000000000000))))
(.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (*.f64 (sqrt.f64 t) 1/5000000000000000))
(.f64 (.f64 t 1/25000000000000000000000000000000) 1)
(.f64 1 (.f64 t 1/25000000000000000000000000000000))
(.f64 (sqrt.f64 (.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1/5000000000000000)
(.f64 (sqrt.f64 (.f64 (sqrt.f64 t) 1/5000000000000000)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 t) 1/5000000000000000)) (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 t) 1/5000000000000000)) (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (sqrt.f64 (.f64 (sqrt.f64 t) 1/5000000000000000))) (sqrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(.f64 (.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 1/5000000000000000) (sqrt.f64 t))
(.f64 (.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(sqrt.f64 (.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))
(exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))) 1)
(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 1)
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 3) 1/3)
(sqrt.f64 (*.f64 t 1/25000000000000000000000000000000))
(fabs.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) 1/5000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 t) 1/5000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))) 1)
(pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)
(pow.f64 (sqrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 2)
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))

Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 -1/25000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 t 2)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 -1/25000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 t 2)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 -1/25000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 t 2)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 -1/25000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 t 2)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(-.f64 (exp.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000))) 1)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 t 1/25000000000000000000000000000000)
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (sqrt.f64 t) (.f64 1/5000000000000000 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 1/5000000000000000 (sqrt.f64 (.f64 t (*.f64 t 1/25000000000000000000000000000000))))
(.f64 1/5000000000000000 (sqrt.f64 (.f64 1/25000000000000000000000000000000 (*.f64 t t))))
(.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (*.f64 (sqrt.f64 t) 1/5000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 t 1/25000000000000000000000000000000) 1)
(*.f64 1/25000000000000000000000000000000 t)
(.f64 1 (.f64 t 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (sqrt.f64 (.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1/5000000000000000)
(.f64 1/5000000000000000 (sqrt.f64 (.f64 1/25000000000000000000000000000000 (*.f64 t t))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 t) 1/5000000000000000)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 t) 1/5000000000000000)) (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 2))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 t) 1/5000000000000000)) (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 t)) (.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))))
(.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 t)) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) 4))
(.f64 (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 2) (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (sqrt.f64 (.f64 (sqrt.f64 t) 1/5000000000000000))) (sqrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 1/5000000000000000) (sqrt.f64 t))
(*.f64 1/25000000000000000000000000000000 t)
(.f64 (.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (cbrt.f64 (.f64 t 1/25000000000000000000000000000000))) (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 t)) (.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))))
(.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 t)) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) 4))
(sqrt.f64 (.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))
(sqrt.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))
(fabs.f64 (*.f64 1/25000000000000000000000000000000 t))
(log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000))))
(*.f64 1/25000000000000000000000000000000 t)
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(*.f64 1/25000000000000000000000000000000 t)
(expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(exp.f64 (.f64 (log.f64 (.f64 t 1/25000000000000000000000000000000)) 1))
(*.f64 1/25000000000000000000000000000000 t)
(log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))) 1)
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 1)
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1/2)
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) 2)
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)) 3)
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 3) 1/3)
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(sqrt.f64 (*.f64 t 1/25000000000000000000000000000000))
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(fabs.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) 1/5000000000000000))
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000))))
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 3))
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 t) 1/5000000000000000)) 1))
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000)))
(*.f64 (sqrt.f64 t) 1/5000000000000000)
(-.f64 (exp.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (sqrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 2)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) 3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3) 1/3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(log.f64 (+.f64 1 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(exp.f64 (.f64 (log.f64 (.f64 t (*.f64 t 1/25000000000000000000000000000000))) 1))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))

eval138.0ms (3.5%)

Compiler: Compiled 2612 to 1889 computations (27.7% saved)

prune60.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	271	4	275
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	275	6	281

Error

Counts

281 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f64 (.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
▶	0.4b	(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
▶	0.5b	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
▶	0.6b	(.f64 t (.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(.f64 1/25000000000000000000000000000000 (.f64 t t))

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.3b

(*.f64 t (*.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t))

✓

0.4b

(*.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t)

✓

1.0b

(pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(*.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t)
0.0ms	t	@	inf	(*.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t)
0.0ms	t	@	-inf	(*.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t)
0.0ms	t	@	0	(.f64 t (.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t))
0.0ms	t	@	-inf	(.f64 t (.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t))

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`add-sqr-sqrt`
1360×	`*-un-lft-identity`
1280×	`add-cube-cbrt`
1266×	`add-cbrt-cube`
1252×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	170	21
2	1753	21

Stop Event

1×	node limit

Counts

3 → 23

Calls

Call 1

Inputs

(pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2)

(*.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t)

(*.f64 t (*.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 1/25000000000000000000000000000000)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/25000000000000000000000000000000 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25000000000000000000000000000000 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/25000000000000000000000000000000 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/25000000000000000000000000000000 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 t)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 1/25000000000000000000000000000000 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 (*.f64 t t))))))))

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-r`
1280×	`associate-l`
1048×	`associate-+l+`
966×	`associate-+r+`
738×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	471
1	141	471
2	568	465
3	4154	465

Stop Event

1×	node limit

Counts

47 → 29

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
1/25000000000000000000000000000000
(-.f64 (+.f64 1 (*.f64 1/25000000000000000000000000000000 t)) 1)
(pow.f64 (*.f64 1/25000000000000000000000000000000 t) 1)
(pow.f64 (sqrt.f64 (*.f64 1/25000000000000000000000000000000 t)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 t)) 3)
(pow.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 t) 3) 1/3)
(sqrt.f64 (.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t)))
(log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))
(cbrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 t) 3))
(expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 t)))
(exp.f64 (log.f64 (*.f64 1/25000000000000000000000000000000 t)))
(log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 t)))
(-.f64 (+.f64 1 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 1)
(pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 1)
(pow.f64 (sqrt.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 2)
(pow.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 3)
(pow.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 2))
(log.f64 (pow.f64 (exp.f64 t) (*.f64 1/25000000000000000000000000000000 t)))
(cbrt.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 3))
(expm1.f64 (log1p.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
(exp.f64 (log.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
(log1p.f64 (expm1.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))

Outputs
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
1/25000000000000000000000000000000
(-.f64 (+.f64 1 (*.f64 1/25000000000000000000000000000000 t)) 1)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (*.f64 1/25000000000000000000000000000000 t) 1)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (sqrt.f64 (*.f64 1/25000000000000000000000000000000 t)) 2)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (cbrt.f64 (*.f64 1/25000000000000000000000000000000 t)) 3)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 t) 3) 1/3)
(*.f64 1/25000000000000000000000000000000 t)
(sqrt.f64 (.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t)))
(sqrt.f64 (.f64 t (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)))
(fabs.f64 (*.f64 1/25000000000000000000000000000000 t))
(log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(cbrt.f64 (pow.f64 (*.f64 1/25000000000000000000000000000000 t) 3))
(*.f64 1/25000000000000000000000000000000 t)
(expm1.f64 (log1p.f64 (*.f64 1/25000000000000000000000000000000 t)))
(*.f64 1/25000000000000000000000000000000 t)
(exp.f64 (log.f64 (*.f64 1/25000000000000000000000000000000 t)))
(*.f64 1/25000000000000000000000000000000 t)
(log1p.f64 (expm1.f64 (*.f64 1/25000000000000000000000000000000 t)))
(*.f64 1/25000000000000000000000000000000 t)
(-.f64 (+.f64 1 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (sqrt.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 2)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (cbrt.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))) 3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 3) 1/3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(sqrt.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(log.f64 (pow.f64 (exp.f64 t) (*.f64 1/25000000000000000000000000000000 t)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(cbrt.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t)) 3))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(expm1.f64 (log1p.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(exp.f64 (log.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(log1p.f64 (expm1.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 t 1/5000000000000000)
✓	0.4b	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))

Compiler

Compiled 13 to 9 computations (30.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
0.0ms	t	@	inf	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
0.0ms	t	@	-inf	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))

rewrite79.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`add-sqr-sqrt`
1102×	`*-un-lft-identity`
1046×	`pow1`
1030×	`add-cube-cbrt`
1020×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	125	13
2	1464	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 1/25000000000000000000000000000000 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 1/25000000000000000000000000000000 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 1/25000000000000000000000000000000 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 1/25000000000000000000000000000000 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 1/25000000000000000000000000000000 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 1/25000000000000000000000000000000 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 1/25000000000000000000000000000000 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 1/25000000000000000000000000000000 t))))))))

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

896×	`associate-*r/`
836×	`associate-*l/`
774×	`distribute-lft-out`
726×	`distribute-rgt-in`
726×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	299
1	92	299
2	305	299
3	1288	299
4	5038	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(-.f64 (+.f64 1 (.f64 t (.f64 1/25000000000000000000000000000000 t))) 1)
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) 3)
(pow.f64 (pow.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4))
(log.f64 (pow.f64 (exp.f64 t) (*.f64 1/25000000000000000000000000000000 t)))
(cbrt.f64 (pow.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t)) 3))
(expm1.f64 (log1p.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t))))
(exp.f64 (log.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t))))
(log1p.f64 (expm1.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t))))

Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(-.f64 (+.f64 1 (.f64 t (.f64 1/25000000000000000000000000000000 t))) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t)) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 t 1/5000000000000000)) 2) 3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (pow.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t)) 3) 1/3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(sqrt.f64 (pow.f64 (*.f64 t 1/5000000000000000) 4))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(log.f64 (pow.f64 (exp.f64 t) (*.f64 1/25000000000000000000000000000000 t)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(cbrt.f64 (pow.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t)) 3))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(expm1.f64 (log1p.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(exp.f64 (log.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(log1p.f64 (expm1.f64 (.f64 t (.f64 1/25000000000000000000000000000000 t))))
(.f64 1/25000000000000000000000000000000 (.f64 t t))

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 t 1/5000000000000000)
✓	0.3b	(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
✓	0.3b	(.f64 (.f64 t 1/5000000000000000) 1/5000000000000000)

Compiler

Compiled 18 to 13 computations (27.8% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(.f64 (.f64 t 1/5000000000000000) 1/5000000000000000)
0.0ms	t	@	inf	(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
0.0ms	t	@	-inf	(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
0.0ms	t	@	inf	(.f64 (.f64 t 1/5000000000000000) 1/5000000000000000)
0.0ms	t	@	0	(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)

rewrite127.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1254×	`add-sqr-sqrt`
1236×	`*-un-lft-identity`
1150×	`add-cube-cbrt`
1136×	`add-cbrt-cube`
1124×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	142	20
2	1642	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 t 1/5000000000000000) 1/5000000000000000)
(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))))

simplify92.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1758×	`log-prod`
1738×	`associate-+r+`
1566×	`associate-+l+`
1498×	`associate-l`
542×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	460
1	143	460
2	563	460
3	2949	460

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(-.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)
(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)
(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)
(sqrt.f64 (.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))
(exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))
(-.f64 (+.f64 1 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 1)
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 2))
(log.f64 (exp.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(exp.f64 (log.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(log1p.f64 (expm1.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))

Outputs
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 t)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(-.f64 (+.f64 1 (*.f64 t 1/25000000000000000000000000000000)) 1)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (*.f64 t 1/25000000000000000000000000000000) 1)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (*.f64 (sqrt.f64 t) 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (cbrt.f64 (*.f64 t 1/25000000000000000000000000000000)) 3)
(*.f64 1/25000000000000000000000000000000 t)
(pow.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3) 1/3)
(*.f64 1/25000000000000000000000000000000 t)
(sqrt.f64 (.f64 (.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(log.f64 (pow.f64 (exp.f64 t) 1/25000000000000000000000000000000))
(*.f64 1/25000000000000000000000000000000 t)
(cbrt.f64 (pow.f64 (*.f64 t 1/25000000000000000000000000000000) 3))
(*.f64 1/25000000000000000000000000000000 t)
(expm1.f64 (log1p.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(exp.f64 (log.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(log1p.f64 (expm1.f64 (*.f64 t 1/25000000000000000000000000000000)))
(*.f64 1/25000000000000000000000000000000 t)
(-.f64 (+.f64 1 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(log.f64 (exp.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(cbrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(expm1.f64 (log1p.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(exp.f64 (log.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(log1p.f64 (expm1.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 t 1/5000000000000000)
✓	0.2b	(.f64 (.f64 t 1/5000000000000000) t)
✓	0.3b	(.f64 (.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)

Compiler

Compiled 18 to 12 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	inf	(.f64 (.f64 t 1/5000000000000000) t)
0.0ms	t	@	0	(.f64 (.f64 t 1/5000000000000000) t)
0.0ms	t	@	0	(.f64 (.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
0.0ms	t	@	inf	(.f64 (.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
0.0ms	t	@	-inf	(.f64 (.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)

rewrite78.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`add-sqr-sqrt`
1230×	`*-un-lft-identity`
1144×	`add-cube-cbrt`
1130×	`add-cbrt-cube`
1118×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	141	26
2	1629	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
(.f64 (.f64 t 1/5000000000000000) t)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 1/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 t (*.f64 t 1/5000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t 1/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (*.f64 t 1/5000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t 1/5000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t 1/5000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t 1/5000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t 1/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t 1/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t 1/5000000000000000))))))))

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1092×	`distribute-lft-in`
1086×	`distribute-rgt-in`
1028×	`associate-+r+`
970×	`associate-+l+`
860×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	598
1	145	598
2	604	598
3	2025	598

Stop Event

1×	node limit

Counts

46 → 27

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(-.f64 (+.f64 1 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 1)
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 2))
(log.f64 (exp.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(exp.f64 (log.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(log1p.f64 (expm1.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(-.f64 (+.f64 1 (.f64 t (.f64 t 1/5000000000000000))) 1)
(pow.f64 (.f64 t (.f64 t 1/5000000000000000)) 1)
(pow.f64 (sqrt.f64 (.f64 t (.f64 t 1/5000000000000000))) 2)
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/5000000000000000))) 3)
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/5000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/5000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/5000000000000000)))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/5000000000000000)) 3))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/5000000000000000))))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/5000000000000000))))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/5000000000000000))))

Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(-.f64 (+.f64 1 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(pow.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(log.f64 (exp.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(cbrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(expm1.f64 (log1p.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(exp.f64 (log.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(log1p.f64 (expm1.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(-.f64 (+.f64 1 (.f64 t (.f64 t 1/5000000000000000))) 1)
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(pow.f64 (.f64 t (.f64 t 1/5000000000000000)) 1)
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(pow.f64 (sqrt.f64 (.f64 t (.f64 t 1/5000000000000000))) 2)
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(pow.f64 (cbrt.f64 (.f64 t (.f64 t 1/5000000000000000))) 3)
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(pow.f64 (pow.f64 (.f64 t (.f64 t 1/5000000000000000)) 3) 1/3)
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(sqrt.f64 (pow.f64 (.f64 t (.f64 t 1/5000000000000000)) 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(log.f64 (pow.f64 (exp.f64 t) (*.f64 t 1/5000000000000000)))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/5000000000000000)) 3))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(expm1.f64 (log1p.f64 (.f64 t (.f64 t 1/5000000000000000))))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(exp.f64 (log.f64 (.f64 t (.f64 t 1/5000000000000000))))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(log1p.f64 (expm1.f64 (.f64 t (.f64 t 1/5000000000000000))))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))

eval32.0ms (0.8%)

Compiler: Compiled 1262 to 905 computations (28.3% saved)

prune18.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	154	6	160

Error

Counts

160 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
✓	0.5b	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
▶	0.5b	(.f64 (.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
✓	0.6b	(.f64 t (.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(.f64 1/25000000000000000000000000000000 (.f64 t t))

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/5000000000000000 (.f64 t t))
✓	0.3b	(.f64 (.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)

Compiler

Compiled 18 to 9 computations (50% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(.f64 (.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
0.0ms	t	@	inf	(.f64 (.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
0.0ms	t	@	-inf	(.f64 (.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
0.0ms	t	@	0	(.f64 1/5000000000000000 (.f64 t t))
0.0ms	t	@	inf	(.f64 1/5000000000000000 (.f64 t t))

rewrite66.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`add-sqr-sqrt`
1248×	`*-un-lft-identity`
1162×	`add-cube-cbrt`
1152×	`add-cbrt-cube`
1140×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	142	26
2	1657	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
(.f64 1/5000000000000000 (.f64 t t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/25000000000000000000000000000000 (pow.f64 t 4)) 1/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 t t) 1/25000000000000000000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/5000000000000000 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 1/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/5000000000000000 (*.f64 t t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/25000000000000000000000000000000 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/5000000000000000) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/5000000000000000 (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/5000000000000000 (*.f64 t t))))))))

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1460×	`associate-r`
1268×	`associate-l`
1168×	`associate-+r+`
1122×	`associate-+l+`
994×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	598
1	148	598
2	608	598
3	3813	598

Stop Event

1×	node limit

Counts

46 → 28

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(-.f64 (+.f64 1 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 1)
(pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 1)
(pow.f64 (sqrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)
(sqrt.f64 (.f64 (.f64 1/25000000000000000000000000000000 (pow.f64 t 4)) 1/25000000000000000000000000000000))
(log.f64 (exp.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(cbrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(exp.f64 (log.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(log1p.f64 (expm1.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(-.f64 (+.f64 1 (.f64 1/5000000000000000 (.f64 t t))) 1)
(pow.f64 (.f64 1/5000000000000000 (.f64 t t)) 1)
(pow.f64 (*.f64 t (sqrt.f64 1/5000000000000000)) 2)
(pow.f64 (cbrt.f64 (.f64 1/5000000000000000 (.f64 t t))) 3)
(pow.f64 (pow.f64 (.f64 1/5000000000000000 (.f64 t t)) 3) 1/3)
(sqrt.f64 (*.f64 1/25000000000000000000000000000000 (pow.f64 t 4)))
(log.f64 (pow.f64 (exp.f64 1/5000000000000000) (*.f64 t t)))
(cbrt.f64 (pow.f64 (.f64 1/5000000000000000 (.f64 t t)) 3))
(expm1.f64 (log1p.f64 (.f64 1/5000000000000000 (.f64 t t))))
(exp.f64 (log.f64 (.f64 1/5000000000000000 (.f64 t t))))
(log1p.f64 (expm1.f64 (.f64 1/5000000000000000 (.f64 t t))))

Outputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(*.f64 1/5000000000000000 (pow.f64 t 2))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(-.f64 (+.f64 1 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 1)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (sqrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 2)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (cbrt.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)) 3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(pow.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3) 1/3)
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(sqrt.f64 (.f64 (.f64 1/25000000000000000000000000000000 (pow.f64 t 4)) 1/25000000000000000000000000000000))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(log.f64 (exp.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(cbrt.f64 (pow.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000) 3))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(expm1.f64 (log1p.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(exp.f64 (log.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(log1p.f64 (expm1.f64 (.f64 (.f64 t t) 1/25000000000000000000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 1/25000000000000000000000000000000 t))
(-.f64 (+.f64 1 (.f64 1/5000000000000000 (.f64 t t))) 1)
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(pow.f64 (.f64 1/5000000000000000 (.f64 t t)) 1)
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(pow.f64 (*.f64 t (sqrt.f64 1/5000000000000000)) 2)
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(pow.f64 (cbrt.f64 (.f64 1/5000000000000000 (.f64 t t))) 3)
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(pow.f64 (pow.f64 (.f64 1/5000000000000000 (.f64 t t)) 3) 1/3)
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(sqrt.f64 (*.f64 1/25000000000000000000000000000000 (pow.f64 t 4)))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(log.f64 (pow.f64 (exp.f64 1/5000000000000000) (*.f64 t t)))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(cbrt.f64 (pow.f64 (.f64 1/5000000000000000 (.f64 t t)) 3))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(expm1.f64 (log1p.f64 (.f64 1/5000000000000000 (.f64 t t))))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(exp.f64 (log.f64 (.f64 1/5000000000000000 (.f64 t t))))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))
(log1p.f64 (expm1.f64 (.f64 1/5000000000000000 (.f64 t t))))
(.f64 1/5000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/5000000000000000))

eval5.0ms (0.1%)

Compiler: Compiled 225 to 154 computations (31.6% saved)

prune9.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	28	6	34

Error

Counts

34 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
✓	0.5b	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
✓	0.5b	(.f64 (.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
✓	0.6b	(.f64 t (.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(.f64 1/25000000000000000000000000000000 (.f64 t t))

Compiler

Compiled 44 to 32 computations (27.3% saved)

regimes22.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(.f64 (.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
(.f64 (.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 t (.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t))
(.f64 t (sqrt.f64 (.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))
(.f64 t (pow.f64 (cbrt.f64 (.f64 t 1/25000000000000000000000000000000)) 3))
(.f64 t (pow.f64 (.f64 (sqrt.f64 t) 1/5000000000000000) 2))

Outputs
(.f64 t (sqrt.f64 (.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))

Calls

3 calls:

10.0ms	t
7.0ms	(*.f64 t 1/5000000000000000)
2.0ms	(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))

Results

Error	Segments	Branch
0.3b	1	`t`
0.3b	1	`(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))`
0.3b	1	`(*.f64 t 1/5000000000000000)`

Compiler

Compiled 120 to 88 computations (26.7% saved)

regimes27.0ms (0.7%)

Counts

9 → 1

Calls

Call 1

Inputs
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(.f64 (.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
(.f64 (.f64 (*.f64 t 1/5000000000000000) t) 1/5000000000000000)
(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
(pow.f64 (*.f64 t 1/5000000000000000) 2)
(.f64 t (.f64 (pow.f64 1/625000000000000000000000000000000000000000000000000000000000000 1/2) t))

Outputs
(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)

Calls

3 calls:

14.0ms	(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))
6.0ms	(*.f64 t 1/5000000000000000)
5.0ms	t

Results

Error	Segments	Branch
0.4b	1	`t`
0.4b	1	`(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))`
0.4b	1	`(*.f64 t 1/5000000000000000)`

Compiler

Compiled 96 to 72 computations (25% saved)

regimes8.0ms (0.2%)

Accuracy

Total -0.5b remaining (-132.1%)

Threshold costs -0.5b (-132.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 t (.f64 t 1/25000000000000000000000000000000))
(.f64 (.f64 1/5000000000000000 (*.f64 t t)) 1/5000000000000000)
(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))

Outputs
(.f64 1/25000000000000000000000000000000 (.f64 t t))

Calls

2 calls:

4.0ms	(*.f64 t 1/5000000000000000)
4.0ms	t

Results

Error	Segments	Branch
0.4b	1	`t`
0.4b	1	`(*.f64 t 1/5000000000000000)`

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify40.0ms (1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	21	55

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(*.f64 t (sqrt.f64 (*.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))

(*.f64 (*.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)

(*.f64 1/25000000000000000000000000000000 (*.f64 t t))

Outputs
(.f64 t (sqrt.f64 (.f64 (*.f64 t t) 1/625000000000000000000000000000000000000000000000000000000000000)))
(.f64 (.f64 (*.f64 t 1/5000000000000000) 1/5000000000000000) t)
(.f64 t (.f64 1/5000000000000000 (*.f64 t 1/5000000000000000)))
(.f64 1/25000000000000000000000000000000 (.f64 t t))
(.f64 (.f64 t t) 1/25000000000000000000000000000000)

Compiler

Compiled 23 to 16 computations (30.4% saved)

soundness206.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1516×	`fma-def`
1130×	`*-commutative`
1084×	`distribute-lft-neg-in`
1004×	`+-commutative`
800×	`distribute-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	51
1	38	37
2	113	33
3	375	29
4	1214	13
5	3652	13
6	5583	13
7	7353	13

Stop Event

1×	node limit

Compiler

Compiled 277 to 231 computations (16.6% saved)

end99.0ms (2.5%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

Details

analyze0.0ms (0%)

sample1.5s (36.7%)

preprocess71.0ms (1.8%)

simplify76.0ms (1.9%)

eval2.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite67.0ms (1.7%)

simplify61.0ms (1.5%)

eval5.0ms (0.1%)

prune8.0ms (0.2%)

localize11.0ms (0.3%)

series2.0ms (0%)

rewrite76.0ms (1.9%)

simplify109.0ms (2.7%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite48.0ms (1.2%)

simplify41.0ms (1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite52.0ms (1.3%)

simplify95.0ms (2.4%)

localize32.0ms (0.8%)

series11.0ms (0.3%)

rewrite99.0ms (2.5%)

simplify79.0ms (2%)

localize11.0ms (0.3%)

series4.0ms (0.1%)

rewrite63.0ms (1.6%)

simplify54.0ms (1.4%)

eval138.0ms (3.5%)

prune60.0ms (1.5%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite65.0ms (1.6%)

simplify44.0ms (1.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite79.0ms (2%)

simplify49.0ms (1.2%)

localize7.0ms (0.2%)

series0.0ms (0%)

rewrite127.0ms (3.2%)

simplify92.0ms (2.3%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite78.0ms (2%)

simplify64.0ms (1.6%)

eval32.0ms (0.8%)

prune18.0ms (0.5%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite66.0ms (1.7%)

simplify52.0ms (1.3%)

eval5.0ms (0.1%)

prune9.0ms (0.2%)

regimes22.0ms (0.5%)

regimes27.0ms (0.7%)

regimes8.0ms (0.2%)

simplify40.0ms (1%)

soundness206.0ms (5.2%)

end99.0ms (2.5%)

Profiling