Details

analyze1.6s (16.4%)

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)

sample143.0ms (1.5%)

Algorithm

1×

intervals

Results

85.0ms	131×	body	1024	valid
24.0ms	63×	body	512	valid
9.0ms	10×	body	2048	valid
6.0ms	36×	body	256	valid
4.0ms	256×	pre	128	true
1.0ms	16×	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

61.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
5.7b	(log.f64 (+.f64 1 x))
5.8b	(log.f64 (-.f64 1 x))

rewrite95.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

61.5b

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×	`flip3--_binary64_423` `flip--_binary64_394` `difference-of-squares_binary64_388` `rem-log-exp_binary64_460` `div-sub_binary64_424`
1×	`distribute-lft-out--_binary64_371` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370` `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)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1200 to 974 computations (18.8% saved)

series135.0ms (1.4%)

Error

0.1b

Counts

3 → 20

Calls

3 calls:

51.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
29.0ms	(log.f64 (-.f64 1 x))
25.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 662 to 559 computations (15.6% saved)

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4971	1401
1	4971	1401

prune92.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	4	91

Error

0.1b

Counts

91 → 4

Compiler

Compiled 1344 to 1051 computations (21.8% saved)

localize8.0ms (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)))))
0.2b	(*.f64 x 5/12)

rewrite86.0ms (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)

series125.0ms (1.3%)

Error

0.1b

Counts

3 → 14

Calls

3 calls:

52.0ms	(.f64 x (+.f64 1/2 (.f64 x 5/12)))
45.0ms	(.f64 x (-.f64 -1 (.f64 x (+.f64 1/2 (*.f64 x 5/12)))))
18.0ms	(*.f64 x 5/12)

Compiler

Compiled 448 to 383 computations (14.5% saved)

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4886	955
1	4886	955

prune79.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Error

0.1b

Counts

82 → 4

Compiler

Compiled 1398 to 1064 computations (23.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
1.3b	(log.f64 (+.f64 (pow.f64 x 3) 1))
5.8b	(log.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
5.8b	(log.f64 (-.f64 1 x))

rewrite151.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`*-un-lft-identity_binary64_419`
20×	`log-prod_binary64_505`
15×	`add-sqr-sqrt_binary64_441`
12×	`pow1_binary64_480`
10×	`log-div_binary64_506` `add-cube-cbrt_binary64_454`
8×	`log-pow_binary64_508`
7×	`add-exp-log_binary64_457`
5×	`distribute-lft-out--_binary64_371`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `flip3-+_binary64_422` `flip-+_binary64_393` `cancel-sign-sub-inv_binary64_385` `associate--l+_binary64_356`
3×	`difference-of-squares_binary64_388` `rem-log-exp_binary64_460` `associate--r+_binary64_355`
2×	`flip3--_binary64_423` `flip--_binary64_394` `distribute-lft-out_binary64_370` `associate--r-_binary64_358` `associate--l-_binary64_357`
1×	`diff-log_binary64_511` `sub-neg_binary64_412`

Counts

4 → 77

Calls

4 calls:

16.0ms	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
7.0ms	(log.f64 (+.f64 (pow.f64 x 3) 1))
6.0ms	(log.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 2300 to 1645 computations (28.5% saved)

series305.0ms (3.2%)

Error

0.1b

Counts

4 → 28

Calls

4 calls:

166.0ms	(log.f64 (+.f64 (pow.f64 x 3) 1))
44.0ms	(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 1)) (log.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
33.0ms	(log.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
31.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 1407 to 1123 computations (20.2% saved)

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5003	1848

prune141.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	105	4	109

Error

0.0b

Counts

109 → 4

Compiler

Compiled 2711 to 1951 computations (28% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (*.f64 x x) (-.f64 1 x)))))
0.0b	(/.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (*.f64 x x) (-.f64 1 x)))
5.7b	(log.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (*.f64 x x) (-.f64 1 x))))
5.8b	(log.f64 (-.f64 1 x))

rewrite253.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`*-un-lft-identity_binary64_419`
40×	`times-frac_binary64_425`
35×	`add-sqr-sqrt_binary64_441`
32×	`add-cube-cbrt_binary64_454`
24×	`log-prod_binary64_505`
16×	`pow1_binary64_480`
12×	`log-pow_binary64_508` `add-exp-log_binary64_457`
8×	`add-cbrt-cube_binary64_455` `associate-/l*_binary64_364`
7×	`distribute-lft-out_binary64_370` `associate-/r*_binary64_363`
5×	`log-div_binary64_506`
4×	`add-log-exp_binary64_458` `associate-/r/_binary64_365`
3×	`rem-log-exp_binary64_460` `div-inv_binary64_416` `flip3-+_binary64_422` `flip-+_binary64_393` `div-exp_binary64_470`
2×	`flip3--_binary64_423` `flip--_binary64_394` `difference-of-squares_binary64_388` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `associate-/l/_binary64_366` `div-sub_binary64_424`
1×	`distribute-lft-out--_binary64_371`

Counts

4 → 119

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (*.f64 x x) (-.f64 1 x)))
13.0ms	(log.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (*.f64 x x) (-.f64 1 x))))
9.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (*.f64 x x) (-.f64 1 x)))))
4.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 3853 to 2720 computations (29.4% saved)

series217.0ms (2.3%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

69.0ms	(/.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (*.f64 x x) (-.f64 1 x)))
60.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (*.f64 x x) (-.f64 1 x)))))
35.0ms	(log.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (+.f64 (*.f64 x x) (-.f64 1 x))))
32.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 945 to 768 computations (18.7% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5044	4036

prune199.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	144	5	149

Error

0.0b

Counts

149 → 5

Compiler

Compiled 3866 to 2727 computations (29.5% saved)

regimes164.0ms (1.7%)

Accuracy

Total 0.3b remaining (97.8%)

Threshold costs 0.3b (97.8%)

Compiler

Compiled 1842 to 1510 computations (18% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	143	22
1	143	22

end0.0ms (0%)

sample5.4s (56.4%)

Algorithm

1×

intervals

Results

2.6s	4043×	body	1024	valid
648.0ms	2007×	body	512	valid
352.0ms	406×	body	2048	valid
167.0ms	976×	body	256	valid
154.0ms	8000×	pre	128	true
43.0ms	568×	body	128	valid

Compiler

Compiled 944 to 773 computations (18.1% saved)

Details

analyze1.6s (16.4%)

sample143.0ms (1.5%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite95.0ms (1%)

series135.0ms (1.4%)

simplify109.0ms (1.1%)

prune92.0ms (1%)

localize8.0ms (0.1%)

rewrite86.0ms (0.9%)

series125.0ms (1.3%)

simplify66.0ms (0.7%)

prune79.0ms (0.8%)

localize12.0ms (0.1%)

rewrite151.0ms (1.6%)

series305.0ms (3.2%)

simplify90.0ms (0.9%)

prune141.0ms (1.5%)

localize12.0ms (0.1%)

rewrite253.0ms (2.7%)

series217.0ms (2.3%)

simplify85.0ms (0.9%)

prune199.0ms (2.1%)

regimes164.0ms (1.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.4s (56.4%)

Profiling