Details

analyze1.7s (16.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample174.0ms (1.7%)

Algorithm

1×

intervals

Results

105.0ms	121×	body	1024	valid
23.0ms	53×	body	512	valid
13.0ms	11×	body	2048	valid
10.0ms	46×	body	256	valid
5.0ms	256×	pre	128	true
2.0ms	25×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune2.0ms (0%)

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

60.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.8b	(log.f64 (-.f64 1 x))
6.8b	(log.f64 (+.f64 1 x))

rewrite108.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

59.9b

Rules

20×	`*-un-lft-identity_binary64_419`
18×	`add-sqr-sqrt_binary64_441`
16×	`times-frac_binary64_425`
15×	`pow1_binary64_480` `add-cube-cbrt_binary64_454`
12×	`log-pow_binary64_508`
10×	`log-prod_binary64_505`
7×	`add-exp-log_binary64_457`
6×	`log-div_binary64_506`
5×	`add-cbrt-cube_binary64_455`
4×	`associate-/l_binary64_364` `associate-/r_binary64_363`
3×	`add-log-exp_binary64_458`
2×	`rem-log-exp_binary64_460` `flip3--_binary64_423` `flip--_binary64_394` `difference-of-squares_binary64_388` `div-sub_binary64_424`
1×	`flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370` `distribute-lft-out--_binary64_371` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

3 → 70

Calls

3 calls:

6.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1200 to 974 computations (18.8% saved)

series132.0ms (1.3%)

Error

0.1b

Counts

3 → 20

Calls

3 calls:

44.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
27.0ms	(log.f64 (-.f64 1 x))
27.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 662 to 559 computations (15.6% saved)

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4971	1401
1	4971	1401

prune90.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	3	91

Error

0.1b

Counts

91 → 3

Compiler

Compiled 1337 to 1043 computations (22% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
0.0b	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
0.3b	(*.f64 x 5/12)

rewrite90.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`add-sqr-sqrt_binary64_441`
9×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `-un-lft-identity_binary64_419` `associate-l_binary64_360` `associate-r*_binary64_359`
4×	`associate-*r/_binary64_361`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
2×	`sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`
1×	`flip3--_binary64_423` `flip--_binary64_394` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

3 → 64

Calls

3 calls:

6.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
4.0ms	(*.f64 x 5/12)

Compiler

Compiled 1314 to 1008 computations (23.3% saved)

series140.0ms (1.3%)

Error

0.1b

Counts

3 → 14

Calls

3 calls:

57.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
44.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
30.0ms	(*.f64 x 5/12)

Compiler

Compiled 448 to 383 computations (14.5% saved)

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4886	955
1	4886	955

prune82.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	77	4	81

Error

0.1b

Counts

81 → 4

Compiler

Compiled 1406 to 1069 computations (24% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 5/12 x) 1/2))
0.0b	(pow.f64 (exp.f64 x) (-.f64 -1 (.f64 x (+.f64 (.f64 5/12 x) 1/2))))
0.3b	(*.f64 5/12 x)
6.7b	(log.f64 (pow.f64 (exp.f64 x) (-.f64 -1 (.f64 x (+.f64 (.f64 5/12 x) 1/2)))))

rewrite167.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

17×	`add-sqr-sqrt_binary64_441`
13×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
9×	`log-prod_binary64_505` `pow1_binary64_480` `add-exp-log_binary64_457`
8×	`add-cbrt-cube_binary64_455`
6×	`unpow-prod-down_binary64_498` `associate-l_binary64_360` `associate-r_binary64_359`
4×	`unpow-prod-up_binary64_497` `add-log-exp_binary64_458` `pow-pow_binary64_491`
3×	`rem-log-exp_binary64_460` `pow-unpow_binary64_496` `exp-prod_binary64_471`
2×	`pow-sub_binary64_495` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `-commutative_binary64_350` `associate-r/_binary64_361`
1×	`log-pow_binary64_508` `log-div_binary64_506` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 x (+.f64 (.f64 5/12 x) 1/2))
5.0ms	(pow.f64 (exp.f64 x) (-.f64 -1 (.f64 x (+.f64 (.f64 5/12 x) 1/2))))
4.0ms	(*.f64 5/12 x)
4.0ms	(log.f64 (pow.f64 (exp.f64 x) (-.f64 -1 (.f64 x (+.f64 (.f64 5/12 x) 1/2)))))

Compiler

Compiled 1925 to 1417 computations (26.4% saved)

series409.0ms (3.9%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

259.0ms	(log.f64 (pow.f64 (exp.f64 x) (-.f64 -1 (.f64 x (+.f64 (.f64 5/12 x) 1/2)))))
77.0ms	(.f64 x (+.f64 (.f64 5/12 x) 1/2))
38.0ms	(pow.f64 (exp.f64 x) (-.f64 -1 (.f64 x (+.f64 (.f64 5/12 x) 1/2))))
19.0ms	(*.f64 5/12 x)

Compiler

Compiled 754 to 645 computations (14.5% saved)

simplify116.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4912	1537
1	4912	1537

prune128.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	103	4	107

Error

0.0b

Counts

107 → 4

Compiler

Compiled 2011 to 1475 computations (26.7% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 1/12)
6.8b	(log.f64 (-.f64 1 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))

rewrite90.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_441`
12×	`associate-l_binary64_360`
10×	`*-un-lft-identity_binary64_419`
8×	`add-exp-log_binary64_457`
7×	`add-cube-cbrt_binary64_454`
6×	`log-prod_binary64_505`
4×	`add-cbrt-cube_binary64_455` `unpow-prod-down_binary64_498` `unswap-sqr_binary64_387` `cube-prod_binary64_447`
3×	`pow1_binary64_480` `prod-exp_binary64_468` `associate-r_binary64_359`
2×	`log-div_binary64_506` `difference-of-squares_binary64_388` `add-log-exp_binary64_458` `sqr-pow_binary64_391`
1×	`log-pow_binary64_508` `flip3--_binary64_423` `flip--_binary64_394` `distribute-lft-out--_binary64_371` `rem-log-exp_binary64_460` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `cbrt-unprod_binary64_452` `unpow3_binary64_485` `cube-mult_binary64_449` `*-commutative_binary64_350`

Counts

2 → 48

Calls

2 calls:

10.0ms	(log.f64 (-.f64 1 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))
6.0ms	(*.f64 (pow.f64 x 3) 1/12)

Compiler

Compiled 964 to 799 computations (17.1% saved)

series93.0ms (0.9%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

46.0ms	(*.f64 (pow.f64 x 3) 1/12)
41.0ms	(log.f64 (-.f64 1 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))

Compiler

Compiled 296 to 265 computations (10.5% saved)

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4948	800
1	4948	800

prune79.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	56	5	61

Error

0.0b

Counts

61 → 5

Compiler

Compiled 969 to 803 computations (17.1% saved)

regimes235.0ms (2.2%)

Accuracy

Total 0.3b remaining (94.6%)

Threshold costs 0.3b (94.6%)

Compiler

Compiled 1852 to 1537 computations (17% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	62
1	42	62

end0.0ms (0%)

sample6.2s (59.2%)

Algorithm

1×

intervals

Results

3.0s	3998×	body	1024	valid
741.0ms	1991×	body	512	valid
420.0ms	407×	body	2048	valid
193.0ms	1019×	body	256	valid
162.0ms	8000×	pre	128	true
47.0ms	585×	body	128	valid

Compiler

Compiled 960 to 795 computations (17.2% saved)

Details

analyze1.7s (16.5%)

sample174.0ms (1.7%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite108.0ms (1%)

series132.0ms (1.3%)

simplify135.0ms (1.3%)

prune90.0ms (0.9%)

localize10.0ms (0.1%)

rewrite90.0ms (0.9%)

series140.0ms (1.3%)

simplify103.0ms (1%)

prune82.0ms (0.8%)

localize20.0ms (0.2%)

rewrite167.0ms (1.6%)

series409.0ms (3.9%)

simplify116.0ms (1.1%)

prune128.0ms (1.2%)

localize20.0ms (0.2%)

rewrite90.0ms (0.9%)

series93.0ms (0.9%)

simplify107.0ms (1%)

prune79.0ms (0.7%)

regimes235.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.2s (59.2%)

Profiling