Details

analyze9.0ms (0.4%)

Algorithm

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%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample25.0ms (1.1%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify194.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5037	9

prune7.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))
0.0b	(-.f64 (*.f64 x x) 1)
0.0b	(-.f64 (*.f64 x x) 1)
0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_100` `add-log-exp_binary64_117` `*-un-lft-identity_binary64_78`
6×	`exp-prod_binary64_130` `cancel-sign-sub-inv_binary64_44`
5×	`add-cube-cbrt_binary64_113`
4×	`exp-sum_binary64_124` `difference-of-squares_binary64_47`
2×	`add-cbrt-cube_binary64_114` `diff-log_binary64_170` `rem-exp-log_binary64_118` `add-exp-log_binary64_116` `difference-of-sqr-1_binary64_48` `sub-neg_binary64_71` `pow1_binary64_139`
1×	`flip3--_binary64_82` `flip--_binary64_53` `exp-diff_binary64_126`

Counts

2 → 37

Calls

4 calls:

11.0ms	(exp.f64 (-.f64 (*.f64 x x) 1))
8.0ms	(-.f64 (*.f64 x x) 1)
0.0ms	(-.f64 (*.f64 x x) 1)
0.0ms	(exp.f64 (-.f64 (*.f64 x x) 1))

series97.0ms (4.2%)

Counts

2 → 12

Calls

2 calls:

58.0ms	(-.f64 (*.f64 x x) 1)
38.0ms	(exp.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 126 to 125 computations (0.8% saved)

simplify115.0ms (5%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4929	442
1	4929	442

prune62.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

0.0b

Counts

50 → 2

Compiler

Compiled 441 to 264 computations (40.1% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))
0.0b	(exp.f64 (+.f64 x 1))
0.0b	(exp.f64 (+.f64 x 1))
0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))

rewrite20.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_78`
11×	`add-sqr-sqrt_binary64_100`
8×	`exp-prod_binary64_130`
7×	`add-cube-cbrt_binary64_113` `pow-unpow_binary64_155`
5×	`add-log-exp_binary64_117` `pow-pow_binary64_150`
4×	`unpow-prod-down_binary64_157` `unpow-prod-up_binary64_156`
3×	`cancel-sign-sub-inv_binary64_44` `pow1_binary64_139`
2×	`add-cbrt-cube_binary64_114` `exp-sum_binary64_124` `rem-exp-log_binary64_118` `add-exp-log_binary64_116` `difference-of-squares_binary64_47` `distribute-lft-out_binary64_29`
1×	`pow-sub_binary64_154` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `distribute-lft-out--_binary64_30` `sqr-pow_binary64_50` `difference-of-sqr-1_binary64_48` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

2 → 45

Calls

4 calls:

12.0ms	(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))
4.0ms	(exp.f64 (+.f64 x 1))
0.0ms	(exp.f64 (+.f64 x 1))
0.0ms	(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))

series88.0ms (3.8%)

Counts

2 → 12

Calls

2 calls:

63.0ms	(pow.f64 (exp.f64 (+.f64 x 1)) (-.f64 x 1))
25.0ms	(exp.f64 (+.f64 x 1))

Compiler

Compiled 184 to 162 computations (12% saved)

simplify101.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5448	714

prune65.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	57	2	59

Error

Counts

59 → 2

Compiler

Compiled 701 to 525 computations (25.1% saved)

localize15.0ms (0.6%)

Local error

Found 6 expressions with local error:

0.0b	(*.f64 (pow.f64 (exp.f64 x) (-.f64 x 1)) (exp.f64 (-.f64 x 1)))
0.0b	(exp.f64 (-.f64 x 1))
0.0b	(pow.f64 (exp.f64 x) (-.f64 x 1))
0.0b	(pow.f64 (exp.f64 x) (-.f64 x 1))
0.0b	(exp.f64 (-.f64 x 1))
0.0b	(*.f64 (pow.f64 (exp.f64 x) (-.f64 x 1)) (exp.f64 (-.f64 x 1)))

rewrite47.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_100`
23×	`*-un-lft-identity_binary64_78`
14×	`add-cube-cbrt_binary64_113`
12×	`exp-prod_binary64_130` `cancel-sign-sub-inv_binary64_44`
11×	`associate-l_binary64_19`
8×	`exp-sum_binary64_124` `unpow-prod-up_binary64_156`
7×	`unpow-prod-down_binary64_157` `associate-r_binary64_18` `pow-unpow_binary64_155`
6×	`add-log-exp_binary64_117`
5×	`add-cbrt-cube_binary64_114`
4×	`pow-pow_binary64_150` `add-exp-log_binary64_116` `difference-of-squares_binary64_47` `sub-neg_binary64_71` `pow1_binary64_139`
3×	`pow-sub_binary64_154` `prod-exp_binary64_127` `distribute-lft-out--_binary64_30` `sqr-pow_binary64_50` `exp-diff_binary64_126` `unswap-sqr_binary64_46`
2×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `rem-exp-log_binary64_118` `pow-prod-down_binary64_149` `difference-of-sqr-1_binary64_48`
1×	`-commutative_binary64_9` `cbrt-unprod_binary64_111` `diff-log_binary64_170` `frac-times_binary64_88` `associate-l/_binary64_21` `associate-*r/_binary64_20`

Counts

3 → 88

Calls

6 calls:

28.0ms	(*.f64 (pow.f64 (exp.f64 x) (-.f64 x 1)) (exp.f64 (-.f64 x 1)))
6.0ms	(exp.f64 (-.f64 x 1))
6.0ms	(pow.f64 (exp.f64 x) (-.f64 x 1))
0.0ms	(pow.f64 (exp.f64 x) (-.f64 x 1))
0.0ms	(*.f64 (pow.f64 (exp.f64 x) (-.f64 x 1)) (exp.f64 (-.f64 x 1)))

series140.0ms (6.1%)

Counts

3 → 18

Calls

3 calls:

88.0ms	(*.f64 (pow.f64 (exp.f64 x) (-.f64 x 1)) (exp.f64 (-.f64 x 1)))
29.0ms	(exp.f64 (-.f64 x 1))
23.0ms	(pow.f64 (exp.f64 x) (-.f64 x 1))

Compiler

Compiled 330 to 288 computations (12.7% saved)

simplify101.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4904	1197
1	4904	1197

prune127.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	106	2	108

Error

Counts

108 → 2

Compiler

Compiled 1480 to 940 computations (36.5% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	78	71
1	78	71

regimes41.0ms (1.8%)

Accuracy

Total 0.0b remaining (80.6%)

Threshold costs 0.0b (80.6%)

Compiler

Compiled 118 to 112 computations (5.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample1.0s (43.5%)

Algorithm

1×

intervals

Results

347.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 137 to 131 computations (4.4% saved)

Pareto

0.971756937218817

Details

analyze9.0ms (0.4%)

sample25.0ms (1.1%)

simplify194.0ms (8.4%)

prune7.0ms (0.3%)

localize9.0ms (0.4%)

rewrite24.0ms (1%)

series97.0ms (4.2%)

simplify115.0ms (5%)

prune62.0ms (2.7%)

localize12.0ms (0.5%)

rewrite20.0ms (0.9%)

series88.0ms (3.8%)

simplify101.0ms (4.4%)

prune65.0ms (2.8%)

localize15.0ms (0.6%)

rewrite47.0ms (2%)

series140.0ms (6.1%)

simplify101.0ms (4.4%)

prune127.0ms (5.5%)

simplify6.0ms (0.3%)

regimes41.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (43.5%)

Profiling