Details

analyze610.0ms (7.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5332	140
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample46.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	188×	body	128	valid
9.0ms	14×	body	1024	valid
7.0ms	26×	body	512	valid
4.0ms	28×	body	256	valid
0.0ms	6×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify36.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	657	20
1	657	20

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

8.9b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.3b	(*.f64 x (log.f64 y))
7.7b	(log.f64 (-.f64 1 y))

rewrite137.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

8.2b

Rules

42×	`log-prod_binary64_12781`
36×	`add-sqr-sqrt_binary64_12717`
32×	`*-un-lft-identity_binary64_12695`
18×	`distribute-rgt-in_binary64_12645` `distribute-lft-in_binary64_12644`
17×	`add-cube-cbrt_binary64_12730`
12×	`associate-+r+_binary64_12627`
11×	`pow1_binary64_12756`
10×	`difference-of-squares_binary64_12664`
9×	`add-exp-log_binary64_12733`
8×	`add-cbrt-cube_binary64_12731` `associate-r_binary64_12635`
6×	`add-log-exp_binary64_12734` `associate-l_binary64_12636` `associate-+l+_binary64_12628`
5×	`distribute-lft-out--_binary64_12647`
3×	`log-pow_binary64_12784`
2×	`log-div_binary64_12782` `pow-prod-down_binary64_12766` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `unswap-sqr_binary64_12663` `*-commutative_binary64_12626`
1×	`flip3--_binary64_12699` `flip--_binary64_12670` `rem-log-exp_binary64_12736` `sum-log_binary64_12786` `flip3-+_binary64_12698` `flip-+_binary64_12669` `+-commutative_binary64_12625`

Counts

4 → 102

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 2087 to 1115 computations (46.6% saved)

series622.0ms (7.6%)

Error

0.2b

Counts

4 → 39

Calls

4 calls:

338.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
115.0ms	(*.f64 x (log.f64 y))
108.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
26.0ms	(log.f64 (-.f64 1 y))

Compiler

Compiled 1494 to 1137 computations (23.9% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5257	1972

prune139.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	134	7	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	7	142

Error

0.0b

Counts

142 → 7

Compiler

Compiled 2624 to 1368 computations (47.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y))
0.0b	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
0.3b	(*.f64 y 1/3)
0.3b	(*.f64 x (log.f64 y))

rewrite160.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64_12717`
17×	`distribute-rgt-in_binary64_12645` `distribute-lft-in_binary64_12644`
16×	`pow1_binary64_12756`
15×	`add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731` `add-cube-cbrt_binary64_12730` `*-un-lft-identity_binary64_12695`
13×	`associate-r_binary64_12635`
12×	`cancel-sign-sub-inv_binary64_12661`
10×	`associate-l_binary64_12636`
8×	`sub-neg_binary64_12688` `associate--l+_binary64_12632`
6×	`pow-prod-down_binary64_12766` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `log-prod_binary64_12781`
4×	`add-log-exp_binary64_12734` `unswap-sqr_binary64_12663` `-commutative_binary64_12626` `associate-r/_binary64_12637`
2×	`flip3--_binary64_12699` `flip--_binary64_12670`
1×	`log-pow_binary64_12784`

Counts

4 → 104

Calls

4 calls:

12.0ms	(.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y))
8.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y 1/3)

Compiler

Compiled 2867 to 1423 computations (50.4% saved)

series452.0ms (5.5%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

216.0ms	(.f64 z (-.f64 (.f64 (.f64 y y) (-.f64 -1/2 (.f64 y 1/3))) y))
131.0ms	(*.f64 x (log.f64 y))
64.0ms	(.f64 (.f64 y y) (-.f64 -1/2 (*.f64 y 1/3)))
20.0ms	(*.f64 y 1/3)

Compiler

Compiled 1539 to 1133 computations (26.4% saved)

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5239	1854

prune143.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	131	7	138

Error

0.0b

Counts

138 → 7

Compiler

Compiled 3333 to 1726 computations (48.2% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite197.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

60×	`log-prod_binary64_12781`
54×	`distribute-rgt-in_binary64_12645` `distribute-lft-in_binary64_12644`
36×	`cbrt-prod_binary64_12726`
27×	`add-cube-cbrt_binary64_12730` `add-sqr-sqrt_binary64_12717` `*-un-lft-identity_binary64_12695`
24×	`associate-+l+_binary64_12628`
12×	`associate-+r+_binary64_12627`
9×	`pow1_binary64_12756` `add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731`
6×	`add-log-exp_binary64_12734`
3×	`pow-prod-down_binary64_12766` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `associate-l_binary64_12636`
2×	`pow1/3_binary64_12777`
1×	`sum-log_binary64_12786` `flip3-+_binary64_12698` `flip-+_binary64_12669` `distribute-lft-out_binary64_12646` `+-commutative_binary64_12625` `associate-r_binary64_12635` `*-commutative_binary64_12626`

Counts

4 → 112

Calls

4 calls:

10.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 4207 to 1935 computations (54% saved)

series747.0ms (9.1%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

286.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
284.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
80.0ms	(cbrt.f64 y)
73.0ms	(cbrt.f64 y)

Compiler

Compiled 1584 to 1181 computations (25.4% saved)

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5022	1733

prune180.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	130	7	137

Error

0.0b

Counts

137 → 7

Compiler

Compiled 4445 to 2169 computations (51.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x))
0.4b	(*.f64 (log.f64 y) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite113.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_12726` `add-sqr-sqrt_binary64_12717`
10×	`add-cube-cbrt_binary64_12730` `*-un-lft-identity_binary64_12695`
7×	`pow1_binary64_12756`
6×	`add-log-exp_binary64_12734` `add-exp-log_binary64_12733` `add-cbrt-cube_binary64_12731` `sqrt-prod_binary64_12711`
4×	`associate-l_binary64_12636`
3×	`associate-r_binary64_12635`
2×	`pow1/3_binary64_12777` `associate-+l+_binary64_12628`
1×	`pow-prod-down_binary64_12766` `prod-exp_binary64_12744` `cbrt-unprod_binary64_12728` `unswap-sqr_binary64_12663` `log-pow_binary64_12784` `*-commutative_binary64_12626` `sum-log_binary64_12786` `flip3-+_binary64_12698` `flip-+_binary64_12669` `distribute-rgt-in_binary64_12645` `distribute-lft-in_binary64_12644` `+-commutative_binary64_12625`

Counts

4 → 60

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x))
4.0ms	(*.f64 (log.f64 y) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

Compiler

Compiled 2496 to 1079 computations (56.8% saved)

series546.0ms (6.7%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

347.0ms	(+.f64 (.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x))
67.0ms	(*.f64 (log.f64 y) 2/3)
57.0ms	(cbrt.f64 (sqrt.f64 y))
56.0ms	(cbrt.f64 (sqrt.f64 y))

Compiler

Compiled 1552 to 1125 computations (27.5% saved)

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5008	857

prune106.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	75	7	82

Error

0.0b

Counts

82 → 7

Compiler

Compiled 2723 to 1255 computations (53.9% saved)

regimes759.0ms (9.3%)

Accuracy

Total 0.3b remaining (92.2%)

Threshold costs 0.3b (92.2%)

Compiler

Compiled 10634 to 7686 computations (27.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	46
1	68	46

end0.0ms (0%)

sample2.8s (34.2%)

Algorithm

1×

intervals

Results

412.0ms	5742×	body	128	valid
326.0ms	654×	body	1024	valid
236.0ms	876×	body	512	valid
107.0ms	711×	body	256	valid
19.0ms	270×	body	128	nan
12.0ms	17×	body	2048	valid
2.0ms	25×	body	128	invalid

Compiler

Compiled 1838 to 1333 computations (27.5% saved)

Details

analyze610.0ms (7.4%)

sample46.0ms (0.6%)

simplify36.0ms (0.4%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite137.0ms (1.7%)

series622.0ms (7.6%)

simplify85.0ms (1%)

prune139.0ms (1.7%)

localize14.0ms (0.2%)

rewrite160.0ms (2%)

series452.0ms (5.5%)

simplify67.0ms (0.8%)

prune143.0ms (1.7%)

localize21.0ms (0.3%)

rewrite197.0ms (2.4%)

series747.0ms (9.1%)

simplify104.0ms (1.3%)

prune180.0ms (2.2%)

localize23.0ms (0.3%)

rewrite113.0ms (1.4%)

series546.0ms (6.7%)

simplify69.0ms (0.8%)

prune106.0ms (1.3%)

regimes759.0ms (9.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (34.2%)

Profiling