Details

analyze3.0s (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample94.0ms (0.1%)

Algorithm

1×

intervals

Results

42.0ms	256×	body	128	valid
14.0ms	78×	body	128	invalid

Compiler

Compiled 27 to 27 computations (0% saved)

simplify536.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	704	19
1	704	19

prune5.0ms (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

Merged error: 5.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize364.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
5.5b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite140.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cancel-sign-sub-inv_binary64_16753`
11×	`add-sqr-sqrt_binary64_16809`
9×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
8×	`pow1_binary64_16848` `associate--r+_binary64_16723` `distribute-rgt-in_binary64_16737` `add-exp-log_binary64_16825` `distribute-lft-in_binary64_16736` `add-cbrt-cube_binary64_16823`
7×	`add-log-exp_binary64_16826`
6×	`sub-neg_binary64_16780`
4×	`associate-r_binary64_16727`
3×	`cbrt-unprod_binary64_16820` `prod-exp_binary64_16836` `flip3--_binary64_16791` `flip--_binary64_16762` `pow-prod-down_binary64_16858`
2×	`diff-log_binary64_16879` `difference-of-squares_binary64_16756` `associate-*r/_binary64_16729`
1×	`-commutative_binary64_16718` `associate-l*_binary64_16728`

Counts

3 → 64

Calls

3 calls:

69.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
25.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
23.0ms	(-.f64 (*.f64 z z) t)

series619.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

301.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
234.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
84.0ms	(-.f64 (*.f64 z z) t)

simplify162.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4904	1145
1	4904	1145

prune911.0ms (1.2%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	44	29	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	30	74

Merged error: 2.0b

Counts

74 → 30

Compiler

Compiled 1970 to 977 computations (50.4% saved)

localize51.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 z z) (neg.f64 t))
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (+.f64 (.f64 z z) (neg.f64 t))))
5.5b	(.f64 (.f64 y 4) (+.f64 (*.f64 z z) (neg.f64 t)))

rewrite88.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_16826`
8×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
4×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
3×	`associate-r_binary64_16727` `cbrt-unprod_binary64_16820` `prod-exp_binary64_16836` `pow-prod-down_binary64_16858`
2×	`sum-log_binary64_16878` `associate--r+_binary64_16723` `associate-*r/_binary64_16729` `flip-+_binary64_16761` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `flip3-+_binary64_16790`
1×	`diff-log_binary64_16879` `cancel-sign-sub-inv_binary64_16753` `neg-log_binary64_16880` `associate-+r-_binary64_16721` `sub-neg_binary64_16780` `-commutative_binary64_16718` `flip3--_binary64_16791` `associate-l*_binary64_16728` `neg-sub0_binary64_16782` `+-commutative_binary64_16717` `unsub-neg_binary64_16781` `flip--_binary64_16762`

Counts

3 → 50

Calls

3 calls:

40.0ms	(.f64 (.f64 y 4) (+.f64 (*.f64 z z) (neg.f64 t)))
30.0ms	(+.f64 (*.f64 z z) (neg.f64 t))
9.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (+.f64 (.f64 z z) (neg.f64 t))))

series513.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

281.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (+.f64 (.f64 z z) (neg.f64 t))))
174.0ms	(.f64 (.f64 y 4) (+.f64 (*.f64 z z) (neg.f64 t)))
57.0ms	(+.f64 (*.f64 z z) (neg.f64 t))

simplify224.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (174.0ms)

Iter	Nodes	Cost
0	5020	924

prune1.2s (1.5%)

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	3	25	28
Picked	0	1	1
Done	0	1	1
Total	55	34	89

Merged error: 2.0b

Counts

89 → 34

Compiler

Compiled 1827 to 927 computations (49.3% saved)

localize29.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 z z) (neg.f64 t))
0.0b	(-.f64 (.f64 x x) (.f64 1 (.f64 (.f64 y 4) (+.f64 (*.f64 z z) (neg.f64 t)))))
5.5b	(.f64 (.f64 y 4) (+.f64 (*.f64 z z) (neg.f64 t)))

rewrite72.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_16826`
8×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
5×	`distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
4×	`add-cube-cbrt_binary64_16822` `associate--r+_binary64_16723` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
3×	`associate-r_binary64_16727` `cbrt-unprod_binary64_16820` `prod-exp_binary64_16836` `pow-prod-down_binary64_16858`
2×	`sum-log_binary64_16878` `associate-*r/_binary64_16729` `flip-+_binary64_16761` `flip3-+_binary64_16790`
1×	`diff-log_binary64_16879` `cancel-sign-sub-inv_binary64_16753` `neg-log_binary64_16880` `associate-+r-_binary64_16721` `sub-neg_binary64_16780` `-commutative_binary64_16718` `flip3--_binary64_16791` `associate-l*_binary64_16728` `neg-sub0_binary64_16782` `+-commutative_binary64_16717` `unsub-neg_binary64_16781` `flip--_binary64_16762`

Counts

3 → 52

Calls

3 calls:

26.0ms	(.f64 (.f64 y 4) (+.f64 (*.f64 z z) (neg.f64 t)))
14.0ms	(-.f64 (.f64 x x) (.f64 1 (.f64 (.f64 y 4) (+.f64 (*.f64 z z) (neg.f64 t)))))
11.0ms	(+.f64 (*.f64 z z) (neg.f64 t))

series338.0ms (0.4%)

Counts

3 → 9

Calls

3 calls:

173.0ms	(-.f64 (.f64 x x) (.f64 1 (.f64 (.f64 y 4) (+.f64 (*.f64 z z) (neg.f64 t)))))
101.0ms	(.f64 (.f64 y 4) (+.f64 (*.f64 z z) (neg.f64 t)))
63.0ms	(+.f64 (*.f64 z z) (neg.f64 t))

simplify302.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	4979	956
1	4979	956

prune2.2s (2.8%)

Pruning

47 alts after pruning (44 fresh and 3 done)

	Pruned	Kept	Total
New	44	17	61
Fresh	4	27	31
Picked	0	1	1
Done	0	2	2
Total	48	47	95

Merged error: 2.0b

Counts

95 → 47

Compiler

Compiled 2274 to 1265 computations (44.4% saved)

localize55.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 1 (pow.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)) 1)))
5.5b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite126.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cancel-sign-sub-inv_binary64_16753`
9×	`add-sqr-sqrt_binary64_16809`
8×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
7×	`add-log-exp_binary64_16826` `add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
4×	`associate-r_binary64_16727` `sub-neg_binary64_16780` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
3×	`cbrt-unprod_binary64_16820` `prod-exp_binary64_16836` `flip3--_binary64_16791` `flip--_binary64_16762` `pow-prod-down_binary64_16858`
2×	`diff-log_binary64_16879` `difference-of-squares_binary64_16756` `associate-*r/_binary64_16729`
1×	`-commutative_binary64_16718` `associate-l*_binary64_16728`

Counts

3 → 56

Calls

3 calls:

44.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
21.0ms	(-.f64 (*.f64 z z) t)
14.0ms	(-.f64 (.f64 x x) (.f64 1 (pow.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)) 1)))

series600.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

289.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
278.0ms	(-.f64 (.f64 x x) (.f64 1 (pow.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)) 1)))
33.0ms	(-.f64 (*.f64 z z) t)

simplify189.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (157.0ms)

Iter	Nodes	Cost
0	5072	1008

prune1.4s (1.8%)

Pruning

62 alts after pruning (58 fresh and 4 done)

	Pruned	Kept	Total
New	48	17	65
Fresh	2	41	43
Picked	0	1	1
Done	0	3	3
Total	50	62	112

Merged error: 2.0b

Counts

112 → 62

Compiler

Compiled 1354 to 654 computations (51.7% saved)

regimes15.7s (20%)

Compiler: Compiled 30269 to 23299 computations (23% saved)

bsearch37.1s (47.3%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify30.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	269	54
1	269	54

end0.0ms (0%)

sample12.5s (15.9%)

Algorithm

1×

intervals

Results

1.1s	8000×	body	128	valid
370.0ms	2912×	body	128	invalid

Compiler

Compiled 2657 to 2041 computations (23.2% saved)

Pareto

Details

analyze3.0s (3.8%)

sample94.0ms (0.1%)

simplify536.0ms (0.7%)

prune5.0ms (0%)

localize364.0ms (0.5%)

rewrite140.0ms (0.2%)

series619.0ms (0.8%)

simplify162.0ms (0.2%)

prune911.0ms (1.2%)

localize51.0ms (0.1%)

rewrite88.0ms (0.1%)

series513.0ms (0.7%)

simplify224.0ms (0.3%)

prune1.2s (1.5%)

localize29.0ms (0%)

rewrite72.0ms (0.1%)

series338.0ms (0.4%)

simplify302.0ms (0.4%)

prune2.2s (2.8%)

localize55.0ms (0.1%)

rewrite126.0ms (0.2%)

series600.0ms (0.8%)

simplify189.0ms (0.2%)

prune1.4s (1.8%)

regimes15.7s (20%)

bsearch37.1s (47.3%)

simplify30.0ms (0%)

end0.0ms (0%)

sample12.5s (15.9%)

Profiling