Details

analyze416.0ms (11.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	223×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	9×	body	320	valid
1.0ms	8×	body	640	valid
1.0ms	24×	body	80	invalid
1.0ms	8×	body	160	valid

simplify242.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (239.0ms)

Iter	Nodes	Cost
0	4926	13
1	4926	13

prune6.0ms (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

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 2.0 3.0) z)
0.0b	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))
0.0b	(*.f64 (-.f64 y x) 6.0)
0.3b	(.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*l/_binary64`
9×	`associate-r_binary64`
8×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
5×	`sub-neg_binary64` `difference-of-squares_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `times-frac_binary64` `associate-+r+_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 80

Calls

4 calls:

14.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))
8.0ms	(-.f64 (/.f64 2.0 3.0) z)
7.0ms	(*.f64 (-.f64 y x) 6.0)
5.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))

series37.0ms (1%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))
12.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))
6.0ms	(*.f64 (-.f64 y x) 6.0)
3.0ms	(-.f64 (/.f64 2.0 3.0) z)

simplify52.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4993	1087
1	4993	1087

prune148.0ms (4.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	9	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 2.0 3.0) z)
0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))))
0.0b	(*.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))
0.1b	(.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z)))

rewrite40.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

14.0ms	(.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z)))
10.0ms	(*.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))
7.0ms	(-.f64 (/.f64 2.0 3.0) z)
6.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))))

series36.0ms (1%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))))
12.0ms	(.f64 (-.f64 y x) (.f64 6.0 (-.f64 (/.f64 2.0 3.0) z)))
5.0ms	(*.f64 6.0 (-.f64 (/.f64 2.0 3.0) z))
3.0ms	(-.f64 (/.f64 2.0 3.0) z)

simplify30.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5487	1214

prune134.0ms (3.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) 6.0)
0.0b	(*.f64 (-.f64 y x) 6.0)
0.3b	(.f64 (.f64 (-.f64 y x) 6.0) (neg.f64 z))
0.4b	(.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0))

rewrite38.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`associate-r_binary64`
26×	`add-sqr-sqrt_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`*-un-lft-identity_binary64`
18×	`pow1_binary64` `add-cube-cbrt_binary64`
14×	`associate-*l/_binary64`
12×	`associate-l_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
9×	`times-frac_binary64`
8×	`pow-prod-down_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`distribute-rgt-neg-out_binary64` `associate-*r/_binary64` `neg-mul-1_binary64` `div-inv_binary64`

Counts

4 → 109

Calls

4 calls:

12.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0))
9.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (neg.f64 z))
7.0ms	(*.f64 (-.f64 y x) 6.0)
7.0ms	(*.f64 (-.f64 y x) 6.0)

series28.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (neg.f64 z))
6.0ms	(.f64 (.f64 (-.f64 y x) 6.0) (/.f64 2.0 3.0))
6.0ms	(*.f64 (-.f64 y x) 6.0)
6.0ms	(*.f64 (-.f64 y x) 6.0)

simplify30.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5524	997

prune166.0ms (4.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))))
0.5b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
0.5b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
0.5b	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))

series761.0ms (21.5%)

Counts

4 → 12

Calls

4 calls:

345.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))) (cbrt.f64 (+.f64 x (.f64 (*.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z)))))
140.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
140.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))
137.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 (-.f64 y x) 6.0) (-.f64 (/.f64 2.0 3.0) z))))

simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5115	2901

prune244.0ms (6.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

regimes388.0ms (11%)

Accuracy

Total 0.3b remaining (87%)

Threshold costs 0.3b (87%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	295	19
1	295	19

end0.0ms (0%)

sample565.0ms (16%)

Algorithm

1×

intervals

Results

272.0ms	7283×	body	80	valid
38.0ms	252×	body	640	valid
26.0ms	155×	body	1280	valid
21.0ms	595×	body	80	invalid
20.0ms	199×	body	320	valid
8.0ms	111×	body	160	valid

Details

analyze416.0ms (11.8%)

sample22.0ms (0.6%)

simplify242.0ms (6.8%)

prune6.0ms (0.2%)

localize12.0ms (0.3%)

rewrite37.0ms (1%)

series37.0ms (1%)

simplify52.0ms (1.5%)

prune148.0ms (4.2%)

localize10.0ms (0.3%)

rewrite40.0ms (1.1%)

series36.0ms (1%)

simplify30.0ms (0.9%)

prune134.0ms (3.8%)

localize11.0ms (0.3%)

rewrite38.0ms (1.1%)

series28.0ms (0.8%)

simplify30.0ms (0.8%)

prune166.0ms (4.7%)

localize16.0ms (0.5%)

rewrite21.0ms (0.6%)

series761.0ms (21.5%)

simplify36.0ms (1%)

prune244.0ms (6.9%)

regimes388.0ms (11%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample565.0ms (16%)

Profiling