Details

analyze300.0ms (17.1%)

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	255×	body	80	valid
0.0ms	21×	body	80	invalid
0.0ms	1×	body	640	valid

simplify33.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	673	7
1	673	7

prune9.0ms (0.5%)

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: 0.0b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`associate-l_binary64` `frac-times_binary64`
3×	`flip3-+_binary64` `pow1_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

1 → 31

Calls

1 calls:

10.0ms

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

series10.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify47.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5170	379

prune48.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x y))
0.5b	(cbrt.f64 (+.f64 x y))
0.5b	(cbrt.f64 (+.f64 x y))
0.5b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))

rewrite24.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_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 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series158.0ms (9%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
36.0ms	(cbrt.f64 (+.f64 x y))
34.0ms	(cbrt.f64 (+.f64 x y))
34.0ms	(cbrt.f64 (+.f64 x y))

simplify40.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5175	995

prune119.0ms (6.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1.0 z))
0.1b	(pow.f64 (*.f64 (+.f64 x y) (-.f64 1.0 z)) 3)
39.6b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1.0 z)) 3))

rewrite26.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cube-div_binary64`
12×	`frac-times_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
8×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-r/_binary64` `associate-l/_binary64`
5×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 86

Calls

3 calls:

10.0ms	(*.f64 (+.f64 x y) (-.f64 1.0 z))
9.0ms	(pow.f64 (*.f64 (+.f64 x y) (-.f64 1.0 z)) 3)
4.0ms	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1.0 z)) 3))

series68.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(pow.f64 (*.f64 (+.f64 x y) (-.f64 1.0 z)) 3)
15.0ms	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (-.f64 1.0 z)) 3))
9.0ms	(*.f64 (+.f64 x y) (-.f64 1.0 z))

simplify45.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5018	1222

prune109.0ms (6.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes281.0ms (16.1%)

Accuracy

Total 0.0b remaining (29%)

Threshold costs 0.0b (29%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms (0%)

sample383.0ms (21.8%)

Algorithm

1×

intervals

Results

191.0ms	7998×	body	80	valid
14.0ms	617×	body	80	invalid
0.0ms	2×	body	640	valid

Details

analyze300.0ms (17.1%)

sample16.0ms (0.9%)

simplify33.0ms (1.9%)

prune9.0ms (0.5%)

localize6.0ms (0.3%)

rewrite11.0ms (0.6%)

series10.0ms (0.5%)

simplify47.0ms (2.7%)

prune48.0ms (2.8%)

localize9.0ms (0.5%)

rewrite24.0ms (1.4%)

series158.0ms (9%)

simplify40.0ms (2.3%)

prune119.0ms (6.8%)

localize9.0ms (0.5%)

rewrite26.0ms (1.5%)

series68.0ms (3.9%)

simplify45.0ms (2.6%)

prune109.0ms (6.2%)

regimes281.0ms (16.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample383.0ms (21.8%)

Profiling