Details

analyze1.1s (23.3%)

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	253×	body	80	valid
1.0ms	27×	body	80	invalid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	320	valid

simplify117.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5178	13

prune9.0ms (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: 0.4b

Counts

2 → 1

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 60.0 (-.f64 x y))
0.0b	(+.f64 (/.f64 (.f64 60.0 (-.f64 x y)) (-.f64 z t)) (.f64 a 120.0))
0.5b	(/.f64 (*.f64 60.0 (-.f64 x y)) (-.f64 z t))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

12.0ms	(+.f64 (/.f64 (.f64 60.0 (-.f64 x y)) (-.f64 z t)) (.f64 a 120.0))
10.0ms	(/.f64 (*.f64 60.0 (-.f64 x y)) (-.f64 z t))
7.0ms	(*.f64 60.0 (-.f64 x y))

series73.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

42.0ms	(+.f64 (/.f64 (.f64 60.0 (-.f64 x y)) (-.f64 z t)) (.f64 a 120.0))
25.0ms	(/.f64 (*.f64 60.0 (-.f64 x y)) (-.f64 z t))
5.0ms	(*.f64 60.0 (-.f64 x y))

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5472	730

prune121.0ms (2.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	66	7	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120.0))
0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.3b	(*.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite39.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
4×	`associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

14.0ms	(*.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t)))
12.0ms	(+.f64 (.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120.0))
8.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series79.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(+.f64 (.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120.0))
19.0ms	(*.f64 60.0 (/.f64 (-.f64 x y) (-.f64 z t)))
18.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4982	1408
1	4982	1408

prune153.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.0b	(+.f64 (/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120.0))
0.7b	(/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite264.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
195×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 205

Calls

3 calls:

232.0ms	(+.f64 (/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120.0))
12.0ms	(/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

series113.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

56.0ms	(/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y)))
42.0ms	(+.f64 (/.f64 60.0 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120.0))
15.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5143	3394

prune252.0ms (5.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	214	7	221

Merged error: 0.0b

Counts

221 → 7

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y)) (.f64 a 120.0))
0.0b	(/.f64 60.0 (-.f64 z t))
0.2b	(*.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y))

rewrite34.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64`
4×	`sub-neg_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 98

Calls

3 calls:

13.0ms	(*.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y))
12.0ms	(+.f64 (.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y)) (.f64 a 120.0))
6.0ms	(/.f64 60.0 (-.f64 z t))

series104.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(*.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y))
43.0ms	(+.f64 (.f64 (/.f64 60.0 (-.f64 z t)) (-.f64 x y)) (.f64 a 120.0))
6.0ms	(/.f64 60.0 (-.f64 z t))

simplify46.0ms (1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5130	1149

prune121.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

regimes1.1s (23.7%)

Accuracy

Total 0.1b remaining (84.7%)

Threshold costs 0.1b (84.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms (0%)

sample691.0ms (14.8%)

Algorithm

1×

intervals

Results

352.0ms	7868×	body	80	valid
26.0ms	629×	body	80	invalid
10.0ms	52×	body	1280	valid
5.0ms	32×	body	640	valid
4.0ms	17×	body	2560	valid
3.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

Details

analyze1.1s (23.3%)

sample26.0ms (0.6%)

simplify117.0ms (2.5%)

prune9.0ms (0.2%)

localize10.0ms (0.2%)

rewrite31.0ms (0.7%)

series73.0ms (1.6%)

simplify44.0ms (0.9%)

prune121.0ms (2.6%)

localize10.0ms (0.2%)

rewrite39.0ms (0.8%)

series79.0ms (1.7%)

simplify58.0ms (1.3%)

prune153.0ms (3.3%)

localize10.0ms (0.2%)

rewrite264.0ms (5.7%)

series113.0ms (2.4%)

simplify50.0ms (1.1%)

prune252.0ms (5.4%)

localize10.0ms (0.2%)

rewrite34.0ms (0.7%)

series104.0ms (2.2%)

simplify46.0ms (1%)

prune121.0ms (2.6%)

regimes1.1s (23.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample691.0ms (14.8%)

Profiling