Details

analyze0.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample2.8s (74.2%)

Results

2.7s

8256×

body

256

valid

preprocess65.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

955×	`fma-def_binary64`
715×	`unsub-neg_binary64`
539×	`distribute-rgt-neg-in_binary64`
490×	`sub-neg_binary64`
471×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	35	19
2	115	17
3	354	15
4	1273	7
5	3641	7
6	5322	7
7	6831	7
8	7810	7
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))))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (-.f64 -1 (*.f64 t 1/2500000000000000)))
(fma.f64 (fma.f64 t 1/5000000000000000 1) (fma.f64 t 1/5000000000000000 1) (fma.f64 -1/2500000000000000 t -1))
(fma.f64 t -1/2500000000000000 (.f64 (.f64 t 1/5000000000000000) (fma.f64 t 1/5000000000000000 2)))
(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 20 to 17 computations (15% saved)

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-def_binary64`
715×	`unsub-neg_binary64`
539×	`distribute-rgt-neg-in_binary64`
490×	`sub-neg_binary64`
471×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	35	19
2	115	17
3	354	15
4	1273	7
5	3641	7
6	5322	7
7	6831	7
8	7810	7

Stop Event

1×	node limit

Counts

1 → 2

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

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(*.f64 t 1/25000000000000000000000000000000)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(*.f64 t 1/25000000000000000000000000000000)
1.0ms	t	@	0	(.f64 t (.f64 t 1/25000000000000000000000000000000))
1.0ms	t	@	inf	(*.f64 t 1/25000000000000000000000000000000)
1.0ms	t	@	0	(*.f64 t 1/25000000000000000000000000000000)
1.0ms	t	@	inf	(.f64 t (.f64 t 1/25000000000000000000000000000000))

rewrite37.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

445×	`pow1_binary64`
430×	`add-sqr-sqrt_binary64`
422×	`*-un-lft-identity_binary64`
414×	`add-log-exp_binary64`
414×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	102	11
2	1142	11

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

simplify146.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	132
1	14	132
2	23	132
3	42	132
4	105	132
5	315	132
6	1204	132
7	2080	132
8	2244	132
9	2428	132
10	2636	132
11	2925	132
12	3318	132
13	3796	132
14	4359	132
15	5045	132
16	5882	132
17	6274	132
18	6562	132
19	6842	132
20	6914	132
21	6948	132
22	7889	132

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))

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))

prune19.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Error

Counts

26 → 7

Alt Table

Status	Error	Program
	0.6b	(.f64 t (pow.f64 (.f64 1/5000000000000000 (sqrt.f64 t)) 2))
	0.6b	(cbrt.f64 (pow.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) 3))
	0.5b	(pow.f64 (*.f64 t 1/5000000000000000) 2)
	0.4b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
	0.7b	(.f64 t (cbrt.f64 (pow.f64 (.f64 t 1/25000000000000000000000000000000) 3)))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
▶	0.3b	(.f64 t (sqrt.f64 (.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))

Compiler

Compiled 285 to 213 computations (25.3% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t)))
✓	0.2b	(.f64 1/625000000000000000000000000000000000000000000000000000000000000 (.f64 t t))
✓	0.2b	(.f64 t (sqrt.f64 (.f64 1/625000000000000000000000000000000000000000000000000000000000000 (*.f64 t t))))

New

Error

Program

✓

0.1b

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

✓

0.2b

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

✓

0.2b

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

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite46.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`pow1_binary64`
568×	`add-log-exp_binary64`
568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
554×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	144	18
2	1648	18

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

((#(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 (pow.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000)) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 t (*.f64 t 1/25000000000000000000000000000000))) 2)))) (#(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 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))))))))

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

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

simplify136.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1104×	`sqr-pow_binary64`
634×	`fabs-mul_binary64`
628×	`pow-sqr_binary64`
611×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	216
1	22	216
2	37	216
3	74	216
4	205	216
5	677	216
6	879	216
7	1293	216
8	1393	216
9	1528	216
10	1697	216
11	1940	216
12	2253	216
13	2625	216
14	3082	216
15	3659	216
16	4371	216
17	5227	216
18	5651	216
19	5965	216
20	6269	216
21	6349	216
22	6385	216

Stop Event

1×	node limit

Counts

85 → 57

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 1/625000000000000000000000000000000000000000000000000000000000000 (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 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)

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

prune56.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	57	7	64

Error

Counts

64 → 7

Alt Table

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

Compiler

Compiled 581 to 425 computations (26.9% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000))
✓	0.2b	(*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)
✓	0.2b	(.f64 t (.f64 (sqrt.f64 (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) (sqrt.f64 t)))
✓	0.3b	(.f64 (sqrt.f64 (.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) (sqrt.f64 t))

series7.0ms (0.2%)

Counts

4 → 28

Calls

12 calls:

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

rewrite56.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
662×	`add-log-exp_binary64`
662×	`log1p-expm1-u_binary64`
662×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	31
1	165	21
2	1909	21

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

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

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

simplify142.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1126×	`sqr-pow_binary64`
565×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
541×	`pow-sqr_binary64`
511×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	136
1	17	136
2	26	136
3	49	136
4	123	136
5	381	136
6	1417	136
7	2306	136
8	2470	136
9	2683	136
10	2903	136
11	3201	136
12	3601	136
13	4087	136
14	4650	136
15	5338	136
16	6173	136
17	6569	136
18	6859	136
19	7137	136
20	7207	136
21	7241	136

Stop Event

1×	node limit

Counts

93 → 70

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

prune70.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	70	7	77

Error

Counts

77 → 7

Alt Table

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

Compiler

Compiled 805 to 533 computations (33.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
0.0ms	t	@	inf	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
0.0ms	t	@	-inf	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

rewrite36.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`pow1_binary64`
465×	`add-sqr-sqrt_binary64`
455×	`*-un-lft-identity_binary64`
445×	`add-log-exp_binary64`
445×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1268	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

11 → 11

Calls

Call 1

Inputs

Outputs

prune9.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	2	1	3
Picked	1	0	1
Done	1	2	3
Total	14	4	18

Error

Counts

18 → 4

Alt Table

Status	Error	Program
	0.5b	(pow.f64 (*.f64 t 1/5000000000000000) 2)
✓	0.4b	(.f64 t (.f64 (sqrt.f64 (*.f64 t 1/625000000000000000000000000000000000000000000000000000000000000)) (sqrt.f64 t)))
	0.2b	(sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 110 to 75 computations (31.8% saved)

regimes28.0ms (0.8%)

Accuracy

Total -61.6b remaining (-29771.5%)

Threshold costs -61.6b (-29771.5%)

Counts

12 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))

Results

7.0ms	0.2b	`t`
3.0ms	0.2b	`(+.f64 (.f64 (+.f64 1 (.f64 t 1/5000000000000000)) (+.f64 1 (.f64 t 1/5000000000000000))) (-.f64 -1 (.f64 2 (*.f64 t 1/5000000000000000))))`
8.0ms	0.2b	`(*.f64 t 1/5000000000000000)`
7.0ms	0.2b	`(*.f64 t 1/5000000000000000)`

Compiler

Compiled 128 to 96 computations (25% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))

Outputs
(sqrt.f64 (*.f64 (pow.f64 t 4) 1/625000000000000000000000000000000000000000000000000000000000000))

end15.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 14 to 12 computations (14.3% saved)

Details

analyze0.0ms (0%)

sample2.8s (74.2%)

preprocess65.0ms (1.8%)

simplify55.0ms (1.5%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

series4.0ms (0.1%)

rewrite37.0ms (1%)

simplify146.0ms (3.9%)

prune19.0ms (0.5%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite46.0ms (1.2%)

simplify136.0ms (3.7%)

prune56.0ms (1.5%)

localize5.0ms (0.1%)

series7.0ms (0.2%)

rewrite56.0ms (1.5%)

simplify142.0ms (3.8%)

prune70.0ms (1.9%)

localize3.0ms (0.1%)

series1.0ms (0%)

rewrite36.0ms (1%)

simplify6.0ms (0.2%)

prune9.0ms (0.2%)

regimes28.0ms (0.8%)

simplify2.0ms (0.1%)

end15.0ms (0.4%)

Profiling