Details

analyze58.0ms (2.7%)

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify13.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	228	7
1	228	7

prune5.0ms (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: 0.1b

Counts

2 → 1

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 1.0 (.f64 x y)))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1.0 (*.f64 x y)))

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 1.0 (*.f64 x y)))

simplify50.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4987	218
1	4987	218

prune49.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 0.0b

Counts

26 → 8

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite20.0ms (0.9%)

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

series196.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y))) (cbrt.f64 (-.f64 1.0 (*.f64 x y))))
47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
46.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
45.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))

simplify58.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4965	1388
1	4965	1388

prune161.0ms (7.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
30×	`cbrt-div_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `swap-sqr_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_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 → 101

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y)))) (cbrt.f64 (cbrt.f64 (-.f64 1.0 (*.f64 x y)))))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))

series196.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(.f64 (cbrt.f64 (cbrt.f64 (-.f64 1.0 (.f64 x y)))) (cbrt.f64 (cbrt.f64 (-.f64 1.0 (*.f64 x y)))))
47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))
45.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 x y)))

simplify47.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5040	1854

prune261.0ms (12.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1.0 (*.f64 x y)))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
0.6b	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1.0 (*.f64 x y)))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
4.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))

series268.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y)))) (cbrt.f64 (.f64 x (-.f64 1.0 (*.f64 x y)))))
64.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
62.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))
62.0ms	(cbrt.f64 (.f64 x (-.f64 1.0 (.f64 x y))))

simplify48.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5006	1377

prune125.0ms (5.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

regimes154.0ms (7.2%)

Accuracy

Total 0.1b remaining (62.1%)

Threshold costs 0.1b (62.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

end0.0ms (0%)

sample314.0ms (14.7%)

Algorithm

1×

intervals

Results

186.0ms	8000×	body	80	valid
2.0ms	98×	body	80	invalid

Details

analyze58.0ms (2.7%)

sample13.0ms (0.6%)

simplify13.0ms (0.6%)

prune5.0ms (0.2%)

localize9.0ms (0.4%)

rewrite6.0ms (0.3%)

series8.0ms (0.4%)

simplify50.0ms (2.3%)

prune49.0ms (2.3%)

localize9.0ms (0.4%)

rewrite20.0ms (0.9%)

series196.0ms (9.2%)

simplify58.0ms (2.7%)

prune161.0ms (7.5%)

localize15.0ms (0.7%)

rewrite24.0ms (1.1%)

series196.0ms (9.2%)

simplify47.0ms (2.2%)

prune261.0ms (12.2%)

localize10.0ms (0.5%)

rewrite22.0ms (1%)

series268.0ms (12.5%)

simplify48.0ms (2.3%)

prune125.0ms (5.8%)

regimes154.0ms (7.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample314.0ms (14.7%)

Profiling