Details

analyze566.0ms (14%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

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
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample34.0ms (0.8%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
1.0ms	29×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify20.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune3.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite55.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_20219` `cancel-sign-sub-inv_binary64_20163`
10×	`*-un-lft-identity_binary64_20197`
8×	`add-cube-cbrt_binary64_20232` `distribute-rgt-in_binary64_20147` `distribute-lft-in_binary64_20146` `associate-+r+_binary64_20129`
5×	`associate-r_binary64_20137`
4×	`pow1_binary64_20258` `add-exp-log_binary64_20235` `add-log-exp_binary64_20236` `add-cbrt-cube_binary64_20233` `sub-neg_binary64_20190`
3×	`associate-l_binary64_20138`
2×	`associate-*r/_binary64_20139`
1×	`pow-prod-down_binary64_20268` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `flip3--_binary64_20201` `flip--_binary64_20172` `difference-of-squares_binary64_20166` `distribute-lft-out--_binary64_20149` `*-commutative_binary64_20128` `sum-log_binary64_20288` `flip3-+_binary64_20200` `flip-+_binary64_20171` `+-commutative_binary64_20127`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 z y))
4.0ms	(+.f64 y (*.f64 x (-.f64 z y)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series290.0ms (7.2%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

154.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
114.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 618 to 363 computations (41.3% saved)

simplify87.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4912	764
1	4912	764

prune51.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Error

Counts

84 → 2

Compiler

Compiled 826 to 166 computations (79.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y))))
4.1b	(cbrt.f64 (*.f64 x (-.f64 z y)))
4.1b	(cbrt.f64 (*.f64 x (-.f64 z y)))
4.1b	(cbrt.f64 (*.f64 x (-.f64 z y)))

rewrite102.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`associate-*r/_binary64_20139`
18×	`cbrt-div_binary64_20229`
11×	`pow1_binary64_20258`
10×	`add-sqr-sqrt_binary64_20219`
9×	`pow1/3_binary64_20279` `flip3--_binary64_20201` `flip--_binary64_20172`
8×	`add-cube-cbrt_binary64_20232` `*-un-lft-identity_binary64_20197`
7×	`cbrt-prod_binary64_20228`
6×	`add-exp-log_binary64_20235`
4×	`add-log-exp_binary64_20236` `add-cbrt-cube_binary64_20233` `frac-times_binary64_20207` `swap-sqr_binary64_20164` `associate-l_binary64_20138` `associate-r_binary64_20137`
2×	`pow-prod-down_binary64_20268` `pow-prod-up_binary64_20267` `pow-sqr_binary64_20170` `associate-*l/_binary64_20140`
1×	`pow2_binary64_20278` `pow-plus_binary64_20260` `prod-exp_binary64_20246` `cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `*-commutative_binary64_20128`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y))))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))

Compiler

Compiled 2171 to 373 computations (82.8% saved)

series1.6s (40.1%)

Error

Counts

4 → 62

Calls

4 calls:

391.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y))))
383.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))
375.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))
353.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))

Compiler

Compiled 6054 to 3885 computations (35.8% saved)

simplify93.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4981	2760
1	4981	2760

prune152.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	2	136

Error

Counts

136 → 2

Compiler

Compiled 3809 to 1019 computations (73.2% saved)

regimes113.0ms (2.8%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Compiler

Compiled 428 to 354 computations (17.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample836.0ms (20.7%)

Algorithm

1×

intervals

Results

280.0ms	8000×	body	128	valid
26.0ms	641×	body	128	invalid

Compiler

Compiled 127 to 106 computations (16.5% saved)

Details

analyze566.0ms (14%)

sample34.0ms (0.8%)

simplify20.0ms (0.5%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite55.0ms (1.4%)

series290.0ms (7.2%)

simplify87.0ms (2.2%)

prune51.0ms (1.3%)

localize9.0ms (0.2%)

rewrite102.0ms (2.5%)

series1.6s (40.1%)

simplify93.0ms (2.3%)

prune152.0ms (3.8%)

regimes113.0ms (2.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample836.0ms (20.7%)

Profiling