Details

analyze1.2s (12.7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	91
1	147	91
0	4	4
1	4	4

Search

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

Compiler

Compiled 20 to 18 computations (10% saved)

sample1.1s (11.6%)

Algorithm

2×

intervals

Results

15.0ms	512×	body	128	valid
8.0ms	203×	body	128	invalid

Compiler

Compiled 3729 to 4844 computations (-29.9% saved)

simplify7.0ms (0.1%)

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

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

rewrite65.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_2845` `add-sqr-sqrt_binary64_2828`
5×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate-*l/_binary64_2749` `sum-log_binary64_2897` `+-commutative_binary64_2736`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

3 → 42

Calls

3 calls:

8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)
4.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 740 to 171 computations (76.9% saved)

series683.0ms (7.1%)

Error

0.0b

Counts

3 → 63

Calls

3 calls:

342.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
187.0ms	(.f64 (+.f64 (.f64 x y) z) y)
117.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 1302 to 938 computations (28% saved)

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5443	1112

prune78.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	8	106

Error

0.0b

Counts

106 → 8

Compiler

Compiled 1244 to 262 computations (78.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite149.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
18×	`cbrt-div_binary64_2838`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888` `flip3-+_binary64_2809` `flip-+_binary64_2780`
6×	`add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `frac-times_binary64_2816` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))

Compiler

Compiled 3008 to 470 computations (84.4% saved)

series1.3s (13.2%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

324.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
296.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
279.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
276.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))

Compiler

Compiled 6637 to 4304 computations (35.2% saved)

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4984	2735
1	4984	2735

prune195.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	152	4	156
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	157	7	164

Error

0.0b

Counts

164 → 7

Compiler

Compiled 4696 to 1019 computations (78.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
0.5b	(cbrt.f64 (+.f64 z (*.f64 y x)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))
0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) 2))

rewrite121.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`cbrt-prod_binary64_2837`
11×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
8×	`cbrt-div_binary64_2838`
6×	`unpow-prod-down_binary64_2885`
4×	`pow1/3_binary64_2888` `pow1_binary64_2867` `add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
1×	`unpow2_binary64_2871` `sqr-pow_binary64_2778`

Counts

4 → 61

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) 2))
3.0ms	(cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))

Compiler

Compiled 2714 to 680 computations (74.9% saved)

series1.1s (11.8%)

Error

0.0b

Counts

4 → 58

Calls

4 calls:

297.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
276.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))
231.0ms	(cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y))))
225.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 z (*.f64 x y))) 2))

Compiler

Compiled 7422 to 4524 computations (39% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5013	2217

prune213.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	118	8	126

Error

0.0b

Counts

126 → 8

Compiler

Compiled 5149 to 1569 computations (69.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite89.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
15×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888`
6×	`add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `unswap-sqr_binary64_2774`
2×	`pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1524 to 366 computations (76% saved)

series501.0ms (5.2%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

133.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
125.0ms	(cbrt.f64 y)
117.0ms	(cbrt.f64 y)
113.0ms	(cbrt.f64 y)

Compiler

Compiled 663 to 456 computations (31.2% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune80.0ms (0.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	9	93

Error

Counts

93 → 9

Compiler

Compiled 1573 to 418 computations (73.4% saved)

regimes678.0ms (7.1%)

Accuracy

Total 0.1b remaining (94.9%)

Threshold costs 0.1b (94.9%)

Compiler

Compiled 7894 to 4676 computations (40.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample1.6s (17%)

Algorithm

1×

intervals

Results

252.0ms	8000×	body	128	valid
100.0ms	3240×	body	128	invalid

Compiler

Compiled 1328 to 790 computations (40.5% saved)

Details

analyze1.2s (12.7%)

sample1.1s (11.6%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite65.0ms (0.7%)

series683.0ms (7.1%)

simplify46.0ms (0.5%)

prune78.0ms (0.8%)

localize14.0ms (0.1%)

rewrite149.0ms (1.6%)

series1.3s (13.2%)

simplify122.0ms (1.3%)

prune195.0ms (2%)

localize23.0ms (0.2%)

rewrite121.0ms (1.3%)

series1.1s (11.8%)

simplify67.0ms (0.7%)

prune213.0ms (2.2%)

localize13.0ms (0.1%)

rewrite89.0ms (0.9%)

series501.0ms (5.2%)

simplify74.0ms (0.8%)

prune80.0ms (0.8%)

regimes678.0ms (7.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (17%)

Profiling