Details

analyze290.0ms (11.2%)

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
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify36.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune6.0ms (0.3%)

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: 2.6b

Counts

2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1.0 y) z)
2.4b	(.f64 x (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
8×	`-un-lft-identity_binary64` `associate-l*_binary64`
6×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 44

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1.0 y) z)
6.0ms	(.f64 x (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))

series20.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(.f64 x (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))
6.0ms	(*.f64 (-.f64 1.0 y) z)

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4969	430
1	4969	430

prune95.0ms (3.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	42	8	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	9	51

Merged error: 2.4b

Counts

51 → 9

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.4b	(.f64 x (-.f64 1.0 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1.0 y) z)) (cbrt.f64 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (.f64 (-.f64 1.0 y) z)))))
2.9b	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
2.9b	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
2.9b	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 55

Calls

4 calls:

6.0ms	(.f64 x (-.f64 1.0 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1.0 y) z)) (cbrt.f64 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (.f64 (-.f64 1.0 y) z)))))
6.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
5.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
5.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))

series91.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
22.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))
22.0ms	(.f64 x (-.f64 1.0 (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 1.0 y) z)) (cbrt.f64 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (.f64 (-.f64 1.0 y) z)))))
22.0ms	(cbrt.f64 (*.f64 (-.f64 1.0 y) z))

simplify68.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4924	769
1	4924	769

prune126.0ms (4.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	66	10	76

Merged error: 2.4b

Counts

76 → 10

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.9b	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
10×	`associate-*r/_binary64`
9×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `flip--_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`associate-*l/_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

13.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

series136.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))))
25.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
23.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
23.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

simplify49.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4965	1358
1	4965	1358

prune169.0ms (6.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	78	10	88

Merged error: 2.4b

Counts

88 → 10

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) x) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
2.7b	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
32×	`associate-*l/_binary64`
30×	`flip3--_binary64` `flip--_binary64`
28×	`frac-times_binary64`
13×	`pow1_binary64` `add-exp-log_binary64`
12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`associate-*r/_binary64`
7×	`add-cbrt-cube_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

16.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) x) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
5.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

series87.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
23.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
23.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
17.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))) x) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))) (cbrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))

simplify59.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4962	2580
1	4962	2580

prune212.0ms (8.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	5	6
Picked	1	0	1
Done	0	3	3
Total	101	10	111

Merged error: 2.4b

Counts

111 → 10

regimes522.0ms (20.1%)

Accuracy

Total 0.2b remaining (4.4%)

Threshold costs 0.2b (4.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	203	9
1	203	9

end0.0ms (0%)

sample434.0ms (16.7%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	80	valid
18.0ms	653×	body	80	invalid

Details

analyze290.0ms (11.2%)

sample17.0ms (0.7%)

simplify36.0ms (1.4%)

prune6.0ms (0.3%)

localize6.0ms (0.2%)

rewrite14.0ms (0.6%)

series20.0ms (0.8%)

simplify39.0ms (1.5%)

prune95.0ms (3.7%)

localize10.0ms (0.4%)

rewrite26.0ms (1%)

series91.0ms (3.5%)

simplify68.0ms (2.6%)

prune126.0ms (4.9%)

localize10.0ms (0.4%)

rewrite23.0ms (0.9%)

series136.0ms (5.2%)

simplify49.0ms (1.9%)

prune169.0ms (6.5%)

localize10.0ms (0.4%)

rewrite31.0ms (1.2%)

series87.0ms (3.4%)

simplify59.0ms (2.3%)

prune212.0ms (8.2%)

regimes522.0ms (20.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

end0.0ms (0%)

sample434.0ms (16.7%)

Profiling