Details

analyze865.0ms (9.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

sample109.0ms (1.2%)

Algorithm

1×

intervals

Results

33.0ms	443×	body	80	nan
21.0ms	256×	body	80	valid
18.0ms	218×	body	80	invalid

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5079	16

prune15.0ms (0.2%)

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

Merged error: 0.3b

Counts

2 → 2

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 t 1.0) (log.f64 a))
0.2b	(*.f64 y (log.f64 z))
0.7b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
0.7b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`log-prod_binary64` `add-exp-log_binary64`
10×	`add-log-exp_binary64` `pow1_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`exp-prod_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `rem-exp-log_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `exp-sum_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 94

Calls

4 calls:

15.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
8.0ms	(*.f64 (-.f64 t 1.0) (log.f64 a))
5.0ms	(*.f64 y (log.f64 z))

series163.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
53.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
11.0ms	(*.f64 (-.f64 t 1.0) (log.f64 a))
9.0ms	(*.f64 y (log.f64 z))

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5338	1149

prune165.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 0.1b

Counts

108 → 7

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 t 1.0) (log.f64 a))
0.2b	(*.f64 y (log.f64 z))
0.7b	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
0.8b	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
21×	`add-exp-log_binary64`
20×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`log-prod_binary64`
11×	`pow1_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
5×	`pow-unpow_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow-exp_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `times-frac_binary64`
2×	`pow-to-exp_binary64` `pow-prod-down_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `unpow-prod-up_binary64` `unswap-sqr_binary64` `pow-sub_binary64` `difference-of-squares_binary64` `e-exp-1_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `pow-pow_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 102

Calls

4 calls:

9.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
8.0ms	(*.f64 (-.f64 t 1.0) (log.f64 a))
7.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
5.0ms	(*.f64 y (log.f64 z))

series178.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
61.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
12.0ms	(*.f64 (-.f64 t 1.0) (log.f64 a))
9.0ms	(*.f64 y (log.f64 z))

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5183	1480

prune165.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (log.f64 z))
0.7b	(/.f64 (.f64 x (.f64 (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) y)
0.8b	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
0.8b	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `prod-exp_binary64`
16×	`add-cube-cbrt_binary64`
15×	`add-cbrt-cube_binary64`
12×	`unpow-prod-down_binary64`
11×	`pow1_binary64` `div-exp_binary64`
10×	`pow-unpow_binary64`
8×	`pow-to-exp_binary64` `pow-exp_binary64`
6×	`log-prod_binary64` `pow-pow_binary64` `pow-sub_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `associate-*r/_binary64` `unpow-prod-up_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `associate-l*_binary64` `distribute-rgt-in_binary64` `times-frac_binary64`
2×	`sub-neg_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `log-pow_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 115

Calls

4 calls:

17.0ms	(/.f64 (.f64 x (.f64 (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) y)
8.0ms	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
8.0ms	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
5.0ms	(*.f64 y (log.f64 z))

series332.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(/.f64 (.f64 x (.f64 (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) y)
76.0ms	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
73.0ms	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
9.0ms	(*.f64 y (log.f64 z))

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5097	2332

prune206.0ms (2.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	127	7	134

Merged error: 0.0b

Counts

134 → 7

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.8b	(pow.f64 (pow.f64 E.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b)))
0.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
0.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
0.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`cbrt-prod_binary64`
19×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`unpow-prod-down_binary64`
8×	`pow-unpow_binary64`
6×	`cbrt-div_binary64` `add-exp-log_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64`
1×	`pow-pow_binary64` `e-exp-1_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(pow.f64 (pow.f64 E.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b)))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

series2.1s (23.1%)

Counts

4 → 12

Calls

4 calls:

1.3s	(pow.f64 (pow.f64 E.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b)))
290.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
288.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
287.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5197	3830

prune213.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

regimes901.0ms (9.8%)

Accuracy

Total 2.2b remaining (97%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	99
1	49	99

end0.0ms (0%)

sample3.3s (35.9%)

Algorithm

1×

intervals

Results

1.0s	14578×	body	80	nan
657.0ms	8000×	body	80	valid
597.0ms	7355×	body	80	invalid

Details

analyze865.0ms (9.4%)

sample109.0ms (1.2%)

simplify52.0ms (0.6%)

prune15.0ms (0.2%)

localize16.0ms (0.2%)

rewrite38.0ms (0.4%)

series163.0ms (1.8%)

simplify48.0ms (0.5%)

prune165.0ms (1.8%)

localize18.0ms (0.2%)

rewrite31.0ms (0.3%)

series178.0ms (1.9%)

simplify41.0ms (0.4%)

prune165.0ms (1.8%)

localize28.0ms (0.3%)

rewrite41.0ms (0.4%)

series332.0ms (3.6%)

simplify41.0ms (0.4%)

prune206.0ms (2.2%)

localize25.0ms (0.3%)

rewrite30.0ms (0.3%)

series2.1s (23.1%)

simplify57.0ms (0.6%)

prune213.0ms (2.3%)

regimes901.0ms (9.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.3s (35.9%)

Profiling