Details

analyze650.0ms (21.5%)

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample27.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	70×	body	80	invalid

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune7.0ms (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: 1.2b

Counts

2 → 1

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.2b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series29.0ms (1%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
14.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5329	557

prune97.0ms (3.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
1.5b	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
9×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
6×	`pow1_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1/3_binary64`
2×	`flip3--_binary64` `unswap-sqr_binary64` `times-frac_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

16.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series114.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

54.0ms	(.f64 (-.f64 y x) (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))))
21.0ms	(cbrt.f64 z)
20.0ms	(cbrt.f64 z)
20.0ms	(cbrt.f64 z)

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4944	705
1	4944	705

prune112.0ms (3.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	80	9	89

Merged error: 0.0b

Counts

89 → 9

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

6.2b	(*.f64 (-.f64 y x) (/.f64 z t))
6.9b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
6.9b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
6.9b	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))

rewrite34.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`cbrt-div_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-r_binary64`
12×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
6×	`pow1_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
7.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
7.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
7.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))

series166.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
50.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
49.0ms	(cbrt.f64 (*.f64 (-.f64 y x) (/.f64 z t)))
15.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5397	1051

prune118.0ms (3.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
3.3b	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
25×	`add-exp-log_binary64`
24×	`*-un-lft-identity_binary64`
22×	`associate-r_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-prod_binary64`
18×	`add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

19.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
3.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series81.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 (/.f64 (-.f64 y x) (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 z (cbrt.f64 t)))
20.0ms	(cbrt.f64 t)
19.0ms	(cbrt.f64 t)
19.0ms	(cbrt.f64 t)

simplify44.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5061	945

prune106.0ms (3.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	106	9	115

Merged error: 0.0b

Counts

115 → 9

regimes534.0ms (17.7%)

Accuracy

Total 0.8b remaining (96%)

Threshold costs 0.8b (96%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	23
1	27	23

end0.0ms (0%)

sample588.0ms (19.4%)

Algorithm

1×

intervals

Results

257.0ms	8000×	body	80	valid
72.0ms	2099×	body	80	invalid

Details

analyze650.0ms (21.5%)

sample27.0ms (0.9%)

simplify43.0ms (1.4%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite16.0ms (0.5%)

series29.0ms (1%)

simplify50.0ms (1.7%)

prune97.0ms (3.2%)

localize15.0ms (0.5%)

rewrite23.0ms (0.8%)

series114.0ms (3.8%)

simplify64.0ms (2.1%)

prune112.0ms (3.7%)

localize11.0ms (0.4%)

rewrite34.0ms (1.1%)

series166.0ms (5.5%)

simplify43.0ms (1.4%)

prune118.0ms (3.9%)

localize11.0ms (0.4%)

rewrite28.0ms (0.9%)

series81.0ms (2.7%)

simplify44.0ms (1.5%)

prune106.0ms (3.5%)

regimes534.0ms (17.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample588.0ms (19.4%)

Profiling