Details

analyze40.0ms (0.5%)

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
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)

sample15.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

prune5.0ms (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

18.2b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

17.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
17.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64_3519`
3×	`add-sqr-sqrt_binary64_3510` `times-frac_binary64_3494` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
1×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `cbrt-div_binary64_3520` `pow1/3_binary64_3570` `pow1_binary64_3549` `div-inv_binary64_3485`

Counts

1 → 16

Calls

2 calls:

4.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
0.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series308.0ms (3.5%)

Counts

1 → 6

Calls

1 calls:

308.0ms

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

Compiler

Compiled 160 to 160 computations (0% saved)

simplify128.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4788	281
1	4788	281

prune42.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	15	7	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	8	23

Error

0.2b

Counts

23 → 8

Compiler

Compiled 308 to 225 computations (26.9% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64_3519`
24×	`times-frac_binary64_3494`
21×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
6×	`associate-/l*_binary64_3433`
5×	`add-exp-log_binary64_3526`
4×	`associate-/r*_binary64_3432`
3×	`add-cbrt-cube_binary64_3524` `add-log-exp_binary64_3527` `pow1_binary64_3549`
2×	`pow1/3_binary64_3570`
1×	`clear-num_binary64_3487` `frac-2neg_binary64_3499` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`

Counts

3 → 66

Calls

6 calls:

10.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)
0.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.0ms	(cbrt.f64 g)

series565.0ms (6.4%)

Counts

3 → 12

Calls

3 calls:

360.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
121.0ms	(cbrt.f64 (*.f64 2 a))
83.0ms	(cbrt.f64 g)

Compiler

Compiled 282 to 282 computations (0% saved)

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4910	1160
1	4910	1160

prune120.0ms (1.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	64	14	78
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	68	18	86

Error

0.0b

Counts

86 → 18

Compiler

Compiled 1204 to 788 computations (34.6% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite47.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac_binary64_3494`
111×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
98×	`cbrt-prod_binary64_3519`
34×	`associate-/r*_binary64_3432`
17×	`add-exp-log_binary64_3526`
8×	`div-exp_binary64_3539`
7×	`add-cbrt-cube_binary64_3524` `associate-/l*_binary64_3433`
6×	`div-inv_binary64_3485`
5×	`pow1_binary64_3549`
4×	`add-log-exp_binary64_3527` `cbrt-undiv_binary64_3522`
2×	`1-exp_binary64_3532` `clear-num_binary64_3487` `rec-exp_binary64_3538` `frac-2neg_binary64_3499` `pow1/3_binary64_3570`
1×	`pow-flip_binary64_3562` `associate-/r/_binary64_3434` `inv-pow_binary64_3573`

Counts

4 → 202

Calls

8 calls:

10.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
7.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
4.0ms	(cbrt.f64 (*.f64 2 a))
2.0ms	(cbrt.f64 g)
0.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))

series769.0ms (8.7%)

Counts

4 → 18

Calls

4 calls:

297.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
295.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
93.0ms	(cbrt.f64 (*.f64 2 a))
83.0ms	(cbrt.f64 g)

Compiler

Compiled 496 to 496 computations (0% saved)

simplify137.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5039	4471

prune297.0ms (3.4%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	218	2	220
Fresh	3	13	16
Picked	0	1	1
Done	0	1	1
Total	221	17	238

Error

0.0b

Counts

238 → 17

Compiler

Compiled 3750 to 2473 computations (34.1% saved)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 (*.f64 2 a))
0.6b	(cbrt.f64 g)
0.4b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
0.2b	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.2b	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.4b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (*.f64 2 a))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_3510`
28×	`times-frac_binary64_3494`
26×	`*-un-lft-identity_binary64_3488`
24×	`add-cube-cbrt_binary64_3523`
17×	`cbrt-prod_binary64_3519` `add-exp-log_binary64_3526`
16×	`associate-r_binary64_3428`
7×	`add-cbrt-cube_binary64_3524` `pow1_binary64_3549`
6×	`unswap-sqr_binary64_3456` `associate-l_binary64_3429`
4×	`associate-/r*_binary64_3432` `add-log-exp_binary64_3527` `div-exp_binary64_3539` `prod-exp_binary64_3537`
3×	`associate-/l*_binary64_3433` `pow1/3_binary64_3570`
2×	`1-exp_binary64_3532` `pow-flip_binary64_3562` `cbrt-unprod_binary64_3521` `rec-exp_binary64_3538` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`
1×	`clear-num_binary64_3487` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `frac-2neg_binary64_3499` `inv-pow_binary64_3573` `-commutative_binary64_3419` `un-div-inv_binary64_3486`

Counts

4 → 101

Calls

8 calls:

11.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
4.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)
0.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))

series671.0ms (7.6%)

Counts

4 → 15

Calls

4 calls:

355.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
132.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
106.0ms	(cbrt.f64 (*.f64 2 a))
77.0ms	(cbrt.f64 g)

Compiler

Compiled 384 to 384 computations (0% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5199	1421

prune138.0ms (1.6%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	13	14
Picked	0	1	1
Done	0	2	2
Total	115	18	133

Error

0.0b

Counts

133 → 18

Compiler

Compiled 1506 to 1052 computations (30.1% saved)

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	200	1143
1	200	1143

regimes512.0ms (5.8%)

Accuracy

Total 0.9b remaining (96.4%)

Threshold costs 0.9b (96.4%)

Compiler

Compiled 3738 to 3314 computations (11.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample4.6s (52.3%)

Algorithm

1×

intervals

Results

303.0ms

8000×

body

128

valid

Compiler

Compiled 2116 to 1866 computations (11.8% saved)

Pareto

0.5656558583925887

Details

analyze40.0ms (0.5%)

sample15.0ms (0.2%)

simplify109.0ms (1.2%)

prune5.0ms (0.1%)

localize9.0ms (0.1%)

rewrite5.0ms (0.1%)

series308.0ms (3.5%)

simplify128.0ms (1.4%)

prune42.0ms (0.5%)

localize7.0ms (0.1%)

rewrite22.0ms (0.3%)

series565.0ms (6.4%)

simplify108.0ms (1.2%)

prune120.0ms (1.4%)

localize13.0ms (0.2%)

rewrite47.0ms (0.5%)

series769.0ms (8.7%)

simplify137.0ms (1.6%)

prune297.0ms (3.4%)

localize9.0ms (0.1%)

rewrite26.0ms (0.3%)

series671.0ms (7.6%)

simplify86.0ms (1%)

prune138.0ms (1.6%)

simplify29.0ms (0.3%)

regimes512.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.6s (52.3%)

Profiling