Details

analyze35.0ms (1.5%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	235×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	5×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	356	7
1	356	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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2.0))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

9.0ms

(+.f64 x (/.f64 (-.f64 x y) 2.0))

series6.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 (-.f64 x y) 2.0))

simplify44.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4988	157
1	4988	157

prune34.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	11	5	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	6	17

Merged error: 0.0b

Counts

17 → 6

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite54.0ms (2.3%)

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:

23.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))

series214.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
52.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
52.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
50.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))

simplify46.0ms (2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5174	1558

prune169.0ms (7.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	104	9	113

Merged error: 0.0b

Counts

113 → 9

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))
0.5b	(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2)
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2))

rewrite42.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`cbrt-prod_binary64`
21×	`*-un-lft-identity_binary64`
14×	`unpow-prod-down_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 74

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2))
11.0ms	(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2)
9.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))

series253.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2)
63.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) 2))
54.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
53.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))

simplify40.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5173	1171

prune170.0ms (7.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
0.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))) 2)

rewrite61.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`cbrt-prod_binary64`
40×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
20×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
10×	`unpow-prod-down_binary64`
9×	`swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
7×	`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`
3×	`pow-unpow_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-pow_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

23.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
12.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
12.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))) 2)
10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))

series296.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0)))) 2)
64.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))) (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
54.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))
54.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2.0))))

simplify46.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5351	1906

prune249.0ms (10.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	125	9	134

Merged error: 0.0b

Counts

134 → 9

regimes162.0ms (6.9%)

Accuracy

Total 0.1b remaining (56.9%)

Threshold costs 0.1b (56.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample344.0ms (14.6%)

Algorithm

1×

intervals

Results

163.0ms	7348×	body	80	valid
23.0ms	240×	body	1280	valid
17.0ms	183×	body	640	valid
10.0ms	87×	body	2560	valid
5.0ms	93×	body	320	valid
2.0ms	49×	body	160	valid
0.0ms	2×	body	80	invalid

Details

analyze35.0ms (1.5%)

sample17.0ms (0.7%)

simplify19.0ms (0.8%)

prune5.0ms (0.2%)

localize4.0ms (0.2%)

rewrite9.0ms (0.4%)

series6.0ms (0.3%)

simplify44.0ms (1.9%)

prune34.0ms (1.4%)

localize8.0ms (0.4%)

rewrite54.0ms (2.3%)

series214.0ms (9.1%)

simplify46.0ms (2%)

prune169.0ms (7.2%)

localize14.0ms (0.6%)

rewrite42.0ms (1.8%)

series253.0ms (10.7%)

simplify40.0ms (1.7%)

prune170.0ms (7.2%)

localize13.0ms (0.6%)

rewrite61.0ms (2.6%)

series296.0ms (12.6%)

simplify46.0ms (1.9%)

prune249.0ms (10.6%)

regimes162.0ms (6.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample344.0ms (14.6%)

Profiling