Details

analyze590.0ms (10.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	63×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify172.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.0b	(+.f64 (*.f64 x y) z)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_5966` `add-sqr-sqrt_binary64_5949`
5×	`*-un-lft-identity_binary64_5927` `add-cbrt-cube_binary64_5963` `add-cube-cbrt_binary64_5962` `add-exp-log_binary64_5965` `pow1_binary64_5988`
3×	`flip-+_binary64_5901` `flip3-+_binary64_5930` `associate-l_binary64_5868` `associate-r_binary64_5867`
2×	`+-commutative_binary64_5857` `sum-log_binary64_6018` `associate-*l/_binary64_5870`
1×	`unswap-sqr_binary64_5895` `prod-exp_binary64_5976` `*-commutative_binary64_5858` `pow-prod-down_binary64_5998` `cbrt-unprod_binary64_5960`

Counts

3 → 42

Calls

3 calls:

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

series234.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

124.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
70.0ms	(.f64 (+.f64 (.f64 x y) z) y)
39.0ms	(+.f64 (*.f64 x y) z)

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4989	719
1	4989	719

prune113.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

Compiler

Compiled 2298 to 1037 computations (54.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5958`
23×	`add-sqr-sqrt_binary64_5949`
15×	`*-un-lft-identity_binary64_5927` `add-cube-cbrt_binary64_5962`
11×	`pow1_binary64_5988`
9×	`pow1/3_binary64_6009`
6×	`swap-sqr_binary64_5894` `add-exp-log_binary64_5965` `associate-l_binary64_5868` `associate-r_binary64_5867`
4×	`add-log-exp_binary64_5966` `unswap-sqr_binary64_5895` `add-cbrt-cube_binary64_5963`
2×	`pow-sqr_binary64_5900` `pow-prod-up_binary64_5997` `pow-prod-down_binary64_5998`
1×	`pow-plus_binary64_5990` `pow2_binary64_6008` `prod-exp_binary64_5976` `*-commutative_binary64_5858` `cbrt-unprod_binary64_5960`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series648.0ms (12%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
172.0ms	(cbrt.f64 y)
151.0ms	(cbrt.f64 y)
151.0ms	(cbrt.f64 y)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5245	563

prune86.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

Compiler

Compiled 2039 to 705 computations (65.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
6.0b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.0b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.0b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_5869`
18×	`cbrt-div_binary64_5959`
11×	`pow1_binary64_5988`
10×	`add-sqr-sqrt_binary64_5949`
9×	`flip-+_binary64_5901` `pow1/3_binary64_6009` `flip3-+_binary64_5930`
8×	`*-un-lft-identity_binary64_5927` `add-cube-cbrt_binary64_5962`
7×	`cbrt-prod_binary64_5958`
6×	`add-exp-log_binary64_5965`
4×	`add-log-exp_binary64_5966` `frac-times_binary64_5937` `add-cbrt-cube_binary64_5963` `swap-sqr_binary64_5894` `associate-l_binary64_5868` `associate-r_binary64_5867`
2×	`pow-sqr_binary64_5900` `pow-prod-up_binary64_5997` `pow-prod-down_binary64_5998` `associate-*l/_binary64_5870`
1×	`unswap-sqr_binary64_5895` `pow-plus_binary64_5990` `pow2_binary64_6008` `prod-exp_binary64_5976` `*-commutative_binary64_5858` `cbrt-unprod_binary64_5960`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
6.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

series1.1s (20.4%)

Counts

4 → 12

Calls

4 calls:

341.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
268.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
248.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
242.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4901	1548
1	4901	1548

prune111.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	0	1	1
Done	1	1	2
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

Compiler

Compiled 3203 to 793 computations (75.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
0.6b	(cbrt.f64 y)
6.0b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.0b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`associate-*r/_binary64_5869`
16×	`cbrt-div_binary64_5959`
11×	`pow1_binary64_5988` `add-sqr-sqrt_binary64_5949`
9×	`*-un-lft-identity_binary64_5927` `add-cube-cbrt_binary64_5962` `cbrt-prod_binary64_5958` `pow1/3_binary64_6009`
8×	`flip-+_binary64_5901` `flip3-+_binary64_5930`
6×	`add-exp-log_binary64_5965`
4×	`add-log-exp_binary64_5966` `frac-times_binary64_5937` `add-cbrt-cube_binary64_5963` `swap-sqr_binary64_5894` `associate-l_binary64_5868` `associate-r_binary64_5867`
2×	`pow-sqr_binary64_5900` `pow-prod-up_binary64_5997` `pow-prod-down_binary64_5998` `associate-*l/_binary64_5870`
1×	`unswap-sqr_binary64_5895` `pow-plus_binary64_5990` `pow2_binary64_6008` `prod-exp_binary64_5976` `*-commutative_binary64_5858` `cbrt-unprod_binary64_5960`

Counts

4 → 72

Calls

4 calls:

8.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
8.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
6.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
1.0ms	(cbrt.f64 y)

series987.0ms (18.3%)

Counts

4 → 12

Calls

4 calls:

332.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
252.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
248.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
154.0ms	(cbrt.f64 y)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4924	1418
1	4924	1418

prune97.0ms (1.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

Compiler

Compiled 2940 to 613 computations (79.1% saved)

regimes109.0ms (2%)

Compiler: Compiled 1078 to 656 computations (39.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample722.0ms (13.4%)

Algorithm

1×

intervals

Results

253.0ms	8000×	body	128	valid
58.0ms	1761×	body	128	invalid

Compiler

Compiled 192 to 120 computations (37.5% saved)

Details

analyze590.0ms (10.9%)

sample20.0ms (0.4%)

simplify172.0ms (3.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite23.0ms (0.4%)

series234.0ms (4.3%)

simplify56.0ms (1%)

prune113.0ms (2.1%)

localize13.0ms (0.2%)

rewrite16.0ms (0.3%)

series648.0ms (12%)

simplify54.0ms (1%)

prune86.0ms (1.6%)

localize12.0ms (0.2%)

rewrite36.0ms (0.7%)

series1.1s (20.4%)

simplify66.0ms (1.2%)

prune111.0ms (2.1%)

localize17.0ms (0.3%)

rewrite32.0ms (0.6%)

series987.0ms (18.3%)

simplify67.0ms (1.3%)

prune97.0ms (1.8%)

regimes109.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample722.0ms (13.4%)

Profiling