Details

analyze198.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample78.0ms (1.9%)

Algorithm

1×

intervals

Results

45.0ms	130×	body	1024	valid
12.0ms	68×	body	512	valid
4.0ms	14×	body	2048	valid
3.0ms	24×	body	256	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify105.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

58.7b

Counts

2 → 1

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.2b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite120.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`*-un-lft-identity_binary64_419`
30×	`add-sqr-sqrt_binary64_441` `times-frac_binary64_425`
16×	`add-cube-cbrt_binary64_454`
7×	`sinh-undef_binary64_612` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `cosh-undef_binary64_613` `distribute-lft-out_binary64_370`
6×	`associate-/l*_binary64_364`
5×	`associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`cancel-sign-sub-inv_binary64_385`
2×	`pow1_binary64_480` `flip3--_binary64_423` `flip--_binary64_394` `associate-/l/_binary64_366` `associate-/r/_binary64_365`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `tanh-undef_binary64_614` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

2 → 76

Calls

2 calls:

24.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
11.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1739 to 276 computations (84.1% saved)

series147.0ms (3.5%)

Error

1.1b

Counts

2 → 8

Calls

2 calls:

107.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
23.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 268 to 164 computations (38.8% saved)

simplify143.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5152	2130

prune116.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	2	85

Error

Counts

85 → 2

Compiler

Compiled 1668 to 302 computations (81.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1×	`tanh-def-c_binary64_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`

Counts

1 → 10

Calls

1 calls:

2.0ms

(tanh.f64 x)

Compiler

Compiled 82 to 46 computations (43.9% saved)

series65.0ms (1.6%)

Error

Counts

1 → 4

Calls

1 calls:

63.0ms

(tanh.f64 x)

Compiler

Compiled 107 to 94 computations (12.1% saved)

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5420	116

prune15.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

Counts

16 → 2

Compiler

Compiled 97 to 53 computations (45.4% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite72.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_441`
12×	`associate-r_binary64_359`
7×	`add-exp-log_binary64_457`
6×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `unpow-prod-down_binary64_498` `unswap-sqr_binary64_387` `cube-prod_binary64_447`
3×	`prod-exp_binary64_468` `associate-l_binary64_360`
2×	`pow1_binary64_480` `sqr-pow_binary64_391`
1×	`pow-to-exp_binary64_488` `pow-exp_binary64_487` `cbrt-unprod_binary64_452` `unpow3_binary64_485` `cube-mult_binary64_449` `*-commutative_binary64_350` `diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

2 → 43

Calls

2 calls:

14.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

Compiler

Compiled 594 to 447 computations (24.7% saved)

series174.0ms (4.2%)

Error

Counts

2 → 9

Calls

2 calls:

111.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
59.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 148 to 122 computations (17.6% saved)

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5194	541

prune45.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	52	2	54

Error

Counts

54 → 2

Compiler

Compiled 562 to 404 computations (28.1% saved)

regimes54.0ms (1.3%)

Accuracy

Total 0.0b remaining (91.6%)

Threshold costs 0.0b (91.6%)

Compiler

Compiled 218 to 162 computations (25.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample2.6s (63.2%)

Algorithm

1×

intervals

Results

1.4s	3891×	body	1024	valid
358.0ms	1931×	body	512	valid
173.0ms	426×	body	2048	valid
108.0ms	970×	body	256	valid
42.0ms	782×	body	128	valid

Compiler

Compiled 111 to 84 computations (24.3% saved)

Details

analyze198.0ms (4.7%)

sample78.0ms (1.9%)

simplify105.0ms (2.5%)

prune4.0ms (0.1%)

localize13.0ms (0.3%)

rewrite120.0ms (2.9%)

series147.0ms (3.5%)

simplify143.0ms (3.4%)

prune116.0ms (2.8%)

localize3.0ms (0.1%)

rewrite15.0ms (0.4%)

series65.0ms (1.6%)

simplify80.0ms (1.9%)

prune15.0ms (0.4%)

localize9.0ms (0.2%)

rewrite72.0ms (1.7%)

series174.0ms (4.2%)

simplify76.0ms (1.8%)

prune45.0ms (1.1%)

regimes54.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.6s (63.2%)

Profiling