Details

analyze29.0ms (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)

simplify161.0ms (4.6%)

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

Merged error: 16.2b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

15.8b

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64_1116`
3×	`add-sqr-sqrt_binary64_1109` `times-frac_binary64_1094` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
1×	`add-cbrt-cube_binary64_1121` `cbrt-div_binary64_1117` `add-exp-log_binary64_1123` `pow1/3_binary64_1167` `add-log-exp_binary64_1124` `pow1_binary64_1146` `div-inv_binary64_1085`

Counts

1 → 16

Calls

1 calls:

4.0ms

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

series140.0ms (4%)

Counts

1 → 3

Calls

1 calls:

140.0ms

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

simplify78.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	6060	244

prune27.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	12	7	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	8	20

Merged error: 0.2b

Counts

20 → 8

Compiler

Compiled 285 to 214 computations (24.9% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.6b	(cbrt.f64 (*.f64 2 a))
0.6b	(cbrt.f64 g)

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64_1116`
24×	`times-frac_binary64_1094`
21×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
6×	`associate-/l*_binary64_1035`
5×	`add-exp-log_binary64_1123`
4×	`associate-/r*_binary64_1034`
3×	`add-cbrt-cube_binary64_1121` `add-log-exp_binary64_1124` `pow1_binary64_1146`
2×	`pow1/3_binary64_1167`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `div-exp_binary64_1136` `cbrt-undiv_binary64_1119` `div-inv_binary64_1085`

Counts

3 → 66

Calls

3 calls:

5.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

series516.0ms (14.8%)

Counts

3 → 9

Calls

3 calls:

178.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
170.0ms	(cbrt.f64 g)
168.0ms	(cbrt.f64 (*.f64 2 a))

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4902	1128
1	4902	1128

prune83.0ms (2.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	63	12	75
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	65	18	83

Merged error: 0.0b

Counts

83 → 18

Compiler

Compiled 1191 to 775 computations (34.9% 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_1116`
35×	`add-sqr-sqrt_binary64_1109`
21×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
20×	`times-frac_binary64_1094`
16×	`associate-r_binary64_1030`
6×	`unswap-sqr_binary64_1056` `associate-l_binary64_1031`
5×	`add-exp-log_binary64_1123` `pow1_binary64_1146`
4×	`pow1/3_binary64_1167`
3×	`add-cbrt-cube_binary64_1121` `add-log-exp_binary64_1124`
2×	`cbrt-div_binary64_1117` `pow-prod-down_binary64_1156` `div-inv_binary64_1085`
1×	`-commutative_binary64_1021` `cbrt-unprod_binary64_1118` `prod-exp_binary64_1134` `associate-r/_binary64_1032`

Counts

3 → 74

Calls

3 calls:

9.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
3.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

series460.0ms (13.1%)

Counts

3 → 9

Calls

3 calls:

163.0ms	(cbrt.f64 (/.f64 1/2 a))
150.0ms	(cbrt.f64 g)
146.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

simplify118.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4774	1045
1	4774	1045

prune87.0ms (2.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	7	8	15
Picked	1	0	1
Done	0	2	2
Total	84	17	101

Merged error: 0.0b

Counts

101 → 17

Compiler

Compiled 1223 to 827 computations (32.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
0.5b	(cbrt.f64 (/.f64 1 a))
0.6b	(cbrt.f64 g)

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_1116`
32×	`add-sqr-sqrt_binary64_1109`
24×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
22×	`associate-r_binary64_1030`
18×	`times-frac_binary64_1094`
11×	`add-exp-log_binary64_1123` `pow1_binary64_1146`
7×	`associate-l_binary64_1031` `pow1/3_binary64_1167` `pow-prod-down_binary64_1156`
5×	`add-cbrt-cube_binary64_1121`
4×	`unswap-sqr_binary64_1056` `cbrt-unprod_binary64_1118` `prod-exp_binary64_1134` `add-log-exp_binary64_1124`
2×	`*-commutative_binary64_1021` `cbrt-div_binary64_1117` `div-inv_binary64_1085`
1×	`associate-*r/_binary64_1032`

Counts

4 → 94

Calls

4 calls:

10.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
6.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
3.0ms	(cbrt.f64 (/.f64 1 a))
1.0ms	(cbrt.f64 g)

series638.0ms (18.2%)

Counts

4 → 12

Calls

4 calls:

193.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
166.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
147.0ms	(cbrt.f64 g)
131.0ms	(cbrt.f64 (/.f64 1 a))

simplify89.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4966	1098
1	4966	1098

prune87.0ms (2.5%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	2	12	14
Picked	0	1	1
Done	0	2	2
Total	106	17	123

Merged error: 0.0b

Counts

123 → 17

Compiler

Compiled 1398 to 976 computations (30.2% saved)

regimes148.0ms (4.2%)

Compiler: Compiled 1107 to 983 computations (11.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	9	11

end0.0ms (0%)

sample673.0ms (19.2%)

Algorithm

1×

intervals

Results

230.0ms

8000×

body

128

valid

Compiler

Compiled 229 to 205 computations (10.5% saved)

Details

analyze29.0ms (0.8%)

sample14.0ms (0.4%)

simplify161.0ms (4.6%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite5.0ms (0.1%)

series140.0ms (4%)

simplify78.0ms (2.2%)

prune27.0ms (0.8%)

localize6.0ms (0.2%)

rewrite13.0ms (0.4%)

series516.0ms (14.8%)

simplify55.0ms (1.6%)

prune83.0ms (2.4%)

localize6.0ms (0.2%)

rewrite19.0ms (0.5%)

series460.0ms (13.1%)

simplify118.0ms (3.4%)

prune87.0ms (2.5%)

localize9.0ms (0.3%)

rewrite27.0ms (0.8%)

series638.0ms (18.2%)

simplify89.0ms (2.5%)

prune87.0ms (2.5%)

regimes148.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample673.0ms (19.2%)

Profiling