Details

analyze31.0ms (0.8%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify98.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

prune2.0ms (0.1%)

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

Error

12.1b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.9b

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64_2496`
3×	`*-un-lft-identity_binary64_2465` `times-frac_binary64_2471` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
1×	`add-log-exp_binary64_2504` `cbrt-div_binary64_2497` `add-exp-log_binary64_2503` `pow1/3_binary64_2547` `add-cbrt-cube_binary64_2501` `div-inv_binary64_2462` `pow1_binary64_2526`

Counts

1 → 16

Calls

1 calls:

7.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

series80.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

79.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4895	244
1	4895	244

prune28.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	11	8	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	9	20

Error

0.2b

Counts

20 → 9

Compiler

Compiled 300 to 227 computations (24.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b	(cbrt.f64 (/.f64 1/2 a))
0.6b	(cbrt.f64 g)

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_2496`
35×	`add-sqr-sqrt_binary64_2487`
21×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
20×	`times-frac_binary64_2471`
16×	`associate-r_binary64_2405`
6×	`unswap-sqr_binary64_2433` `associate-l_binary64_2406`
5×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
4×	`pow1/3_binary64_2547`
3×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
2×	`cbrt-div_binary64_2497` `div-inv_binary64_2462` `pow-prod-down_binary64_2536`
1×	`-commutative_binary64_2396` `associate-r/_binary64_2407` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

3 → 74

Calls

3 calls:

11.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

series275.0ms (7.3%)

Counts

3 → 9

Calls

3 calls:

107.0ms	(cbrt.f64 (/.f64 1/2 a))
87.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
82.0ms	(cbrt.f64 g)

simplify94.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4938	1089
1	4938	1089

prune93.0ms (2.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	70	13	83
Fresh	4	3	7
Picked	0	1	1
Done	1	0	1
Total	75	17	92

Error

0.0b

Counts

92 → 17

Compiler

Compiled 1250 to 840 computations (32.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
0.4b	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
0.5b	(cbrt.f64 (/.f64 -1 a))
0.6b	(cbrt.f64 g)

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`cbrt-prod_binary64_2496`
38×	`add-sqr-sqrt_binary64_2487`
24×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
22×	`associate-l_binary64_2406`
20×	`times-frac_binary64_2471`
11×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
7×	`pow1/3_binary64_2547` `associate-r_binary64_2405` `pow-prod-down_binary64_2536`
6×	`unswap-sqr_binary64_2433`
5×	`add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`cbrt-div_binary64_2497`
2×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `div-inv_binary64_2462`
1×	`associate-*r/_binary64_2407`

Counts

4 → 97

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
9.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
2.0ms	(cbrt.f64 (/.f64 -1 a))
1.0ms	(cbrt.f64 g)

series400.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
106.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
89.0ms	(cbrt.f64 (/.f64 -1 a))
88.0ms	(cbrt.f64 g)

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4980	1472
1	4980	1472

prune120.0ms (3.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	3	12	15
Picked	0	1	1
Done	0	1	1
Total	109	17	126

Error

Counts

126 → 17

Compiler

Compiled 1847 to 1383 computations (25.1% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
0.5b	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
0.5b	(cbrt.f64 (/.f64 1 a))
0.6b	(cbrt.f64 g)

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_2496`
32×	`add-sqr-sqrt_binary64_2487`
24×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
22×	`associate-r_binary64_2405`
18×	`times-frac_binary64_2471`
11×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
7×	`pow1/3_binary64_2547` `pow-prod-down_binary64_2536` `associate-l_binary64_2406`
5×	`add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
2×	`*-commutative_binary64_2396` `cbrt-div_binary64_2497` `div-inv_binary64_2462`
1×	`associate-*r/_binary64_2407`

Counts

4 → 94

Calls

4 calls:

11.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
6.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
2.0ms	(cbrt.f64 (/.f64 1 a))
1.0ms	(cbrt.f64 g)

series375.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
91.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
87.0ms	(cbrt.f64 (/.f64 1 a))
84.0ms	(cbrt.f64 g)

simplify83.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4917	1239
1	4917	1239

prune91.0ms (2.4%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	13	14
Picked	0	1	1
Done	0	2	2
Total	106	17	123

Error

Counts

123 → 17

Compiler

Compiled 1476 to 1029 computations (30.3% saved)

regimes480.0ms (12.7%)

Accuracy

Total 0.8b remaining (97.5%)

Threshold costs 0.8b (97.5%)

Compiler

Compiled 3832 to 3401 computations (11.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms (0%)

sample1.3s (33.3%)

Algorithm

1×

intervals

Results

234.0ms

8000×

body

128

valid

Compiler

Compiled 712 to 633 computations (11.1% saved)

Details

analyze31.0ms (0.8%)

sample14.0ms (0.4%)

simplify98.0ms (2.6%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite8.0ms (0.2%)

series80.0ms (2.1%)

simplify65.0ms (1.7%)

prune28.0ms (0.7%)

localize6.0ms (0.2%)

rewrite19.0ms (0.5%)

series275.0ms (7.3%)

simplify94.0ms (2.5%)

prune93.0ms (2.5%)

localize9.0ms (0.2%)

rewrite32.0ms (0.8%)

series400.0ms (10.6%)

simplify67.0ms (1.8%)

prune120.0ms (3.2%)

localize9.0ms (0.2%)

rewrite27.0ms (0.7%)

series375.0ms (9.9%)

simplify83.0ms (2.2%)

prune91.0ms (2.4%)

regimes480.0ms (12.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (33.3%)

Profiling