Details

analyze325.0ms (5.8%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify119.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune4.0ms (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 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-sqr-sqrt_binary64_5215`
6×	`*-un-lft-identity_binary64_5193`
5×	`associate-l_binary64_5134`
4×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228`
3×	`associate-r_binary64_5133`
2×	`associate-*l/_binary64_5136`
1×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `flip3--_binary64_5197` `flip--_binary64_5168` `difference-of-squares_binary64_5162` `distribute-lft-out--_binary64_5145` `*-commutative_binary64_5124` `sum-log_binary64_5284` `flip3-+_binary64_5196` `flip-+_binary64_5167` `+-commutative_binary64_5123`

Counts

2 → 33

Calls

2 calls:

8.0ms	(*.f64 (-.f64 y x) z)
4.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

Compiler

Compiled 470 to 134 computations (71.5% saved)

series291.0ms (5.2%)

Error

Counts

2 → 33

Calls

2 calls:

140.0ms	(+.f64 x (*.f64 (-.f64 y x) z))
132.0ms	(*.f64 (-.f64 y x) z)

Compiler

Compiled 618 to 362 computations (41.4% saved)

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5343	634

prune41.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	2	67

Error

0.0b

Counts

67 → 2

Compiler

Compiled 642 to 139 computations (78.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x))))
3.7b	(cbrt.f64 (*.f64 z (-.f64 y x)))
3.7b	(cbrt.f64 (*.f64 z (-.f64 y x)))
3.7b	(cbrt.f64 (*.f64 z (-.f64 y x)))

rewrite128.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`associate-*r/_binary64_5135`
18×	`cbrt-div_binary64_5225`
11×	`pow1_binary64_5254`
10×	`add-sqr-sqrt_binary64_5215`
9×	`pow1/3_binary64_5275` `flip3--_binary64_5197` `flip--_binary64_5168`
8×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
7×	`cbrt-prod_binary64_5224`
6×	`add-exp-log_binary64_5231`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `frac-times_binary64_5203` `swap-sqr_binary64_5160` `associate-l_binary64_5134` `associate-r_binary64_5133`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166` `associate-*l/_binary64_5136`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `*-commutative_binary64_5124`

Counts

4 → 72

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
8.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
7.0ms	(.f64 (cbrt.f64 (.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x))))
5.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))

Compiler

Compiled 2171 to 373 computations (82.8% saved)

series1.4s (24.4%)

Error

0.0b

Counts

4 → 61

Calls

4 calls:

426.0ms	(.f64 (cbrt.f64 (.f64 z (-.f64 y x))) (cbrt.f64 (*.f64 z (-.f64 y x))))
299.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
284.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
270.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))

Compiler

Compiled 5870 to 3836 computations (34.7% saved)

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4971	2685
1	4971	2685

prune158.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Error

Counts

135 → 3

Compiler

Compiled 3781 to 973 computations (74.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.7b	(cbrt.f64 (*.f64 z (-.f64 y x)))
3.7b	(cbrt.f64 (*.f64 z (-.f64 y x)))
3.7b	(cbrt.f64 (*.f64 z (-.f64 y x)))
3.7b	(cbrt.f64 (*.f64 z (-.f64 y x)))

rewrite88.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`associate-*r/_binary64_5135` `cbrt-div_binary64_5225`
4×	`pow1/3_binary64_5275` `pow1_binary64_5254` `add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `flip3--_binary64_5197` `flip--_binary64_5168` `cbrt-prod_binary64_5224` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`

Counts

4 → 44

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
6.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
5.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
5.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))

Compiler

Compiled 2024 to 285 computations (85.9% saved)

series1.6s (28.7%)

Error

Counts

4 → 59

Calls

4 calls:

586.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
315.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
297.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))
290.0ms	(cbrt.f64 (*.f64 z (-.f64 y x)))

Compiler

Compiled 8282 to 3880 computations (53.2% saved)

simplify140.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4910	1549
1	4910	1549

prune129.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Error

Counts

106 → 3

Compiler

Compiled 4516 to 591 computations (86.9% saved)

regimes125.0ms (2.2%)

Accuracy

Total 0.0b remaining (69.3%)

Threshold costs 0.0b (69.3%)

Compiler

Compiled 812 to 494 computations (39.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample846.0ms (15%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	128	valid
20.0ms	586×	body	128	invalid

Compiler

Compiled 213 to 132 computations (38% saved)

Details

analyze325.0ms (5.8%)

sample26.0ms (0.5%)

simplify119.0ms (2.1%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite41.0ms (0.7%)

series291.0ms (5.2%)

simplify47.0ms (0.8%)

prune41.0ms (0.7%)

localize18.0ms (0.3%)

rewrite128.0ms (2.3%)

series1.4s (24.4%)

simplify86.0ms (1.5%)

prune158.0ms (2.8%)

localize19.0ms (0.3%)

rewrite88.0ms (1.6%)

series1.6s (28.7%)

simplify140.0ms (2.5%)

prune129.0ms (2.3%)

regimes125.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample846.0ms (15%)

Profiling