Details

analyze606.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5013	192
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
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample59.0ms (0.5%)

Algorithm

1×

intervals

Results

39.0ms	246×	body	256	valid
5.0ms	34×	body	128	nan
1.0ms	10×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify247.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (241.0ms)

Iter	Nodes	Cost
0	4834	48
1	4834	48

prune6.0ms (0%)

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

34.6b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.0b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
7.2b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite176.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

31.4b

Rules

10×	`cbrt-div_binary64_2497`
8×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3--_binary64_2469` `sqrt-div_binary64_2482` `flip--_binary64_2440` `frac-times_binary64_2475` `associate-*r/_binary64_2407`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `difference-of-squares_binary64_2434` `rem-sqrt-square_binary64_2478` `pow1/3_binary64_2547` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-*l/_binary64_2408` `cbrt-prod_binary64_2496`

Counts

4 → 60

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2998 to 1039 computations (65.3% saved)

series1.1s (8.2%)

Error

31.1b

Counts

4 → 34

Calls

4 calls:

446.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
403.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
74.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
59.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3962 to 2936 computations (25.9% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5108	1978

prune193.0ms (1.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	81	13	94
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	82	14	96

Error

30.5b

Counts

96 → 14

Compiler

Compiled 4341 to 1880 computations (56.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
7.2b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite127.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

30.0b

Rules

8×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
5×	`cbrt-div_binary64_2497`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `flip3-+_binary64_2468` `frac-times_binary64_2475` `flip-+_binary64_2439` `associate-*r/_binary64_2407`
1×	`pow1/3_binary64_2547` `associate-*l/_binary64_2408` `cbrt-prod_binary64_2496` `diff-log_binary64_2557` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 59

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2761 to 921 computations (66.6% saved)

series1.0s (7.9%)

Error

29.9b

Counts

4 → 37

Calls

4 calls:

442.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
350.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
108.0ms	(-.f64 (.f64 g g) (.f64 h h))
60.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3818 to 2700 computations (29.3% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4950	1599
1	4950	1599

prune168.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	95	15	110

Error

29.9b

Counts

110 → 15

Compiler

Compiled 4334 to 1773 computations (59.1% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
7.2b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite139.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

29.9b

Rules

8×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
5×	`cbrt-div_binary64_2497`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `flip3-+_binary64_2468` `frac-times_binary64_2475` `flip-+_binary64_2439` `associate-*r/_binary64_2407`
1×	`pow1/3_binary64_2547` `associate-*l/_binary64_2408` `cbrt-prod_binary64_2496` `diff-log_binary64_2557` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 59

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2879 to 1100 computations (61.8% saved)

series737.0ms (5.7%)

Error

29.8b

Counts

4 → 37

Calls

4 calls:

440.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
112.0ms	(-.f64 (.f64 g g) (.f64 h h))
64.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
62.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4020 to 2984 computations (25.8% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4950	1599
1	4950	1599

prune176.0ms (1.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	96	15	111

Error

29.8b

Counts

111 → 15

Compiler

Compiled 4521 to 2066 computations (54.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(-.f64 (.f64 g g) (.f64 h h))
7.0b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
29.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite125.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

29.8b

Rules

8×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
6×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
5×	`flip3--_binary64_2469` `flip--_binary64_2440` `cbrt-div_binary64_2497`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `sqrt-div_binary64_2482`
3×	`difference-of-squares_binary64_2434`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `frac-times_binary64_2475` `associate-*r/_binary64_2407`
1×	`pow1/3_binary64_2547` `associate-*l/_binary64_2408` `cbrt-prod_binary64_2496` `diff-log_binary64_2557` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`

Counts

4 → 59

Calls

4 calls:

14.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))

Compiler

Compiled 2702 to 910 computations (66.3% saved)

series669.0ms (5.2%)

Error

29.8b

Counts

4 → 36

Calls

4 calls:

386.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
105.0ms	(-.f64 (.f64 g g) (.f64 h h))
68.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
56.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3545 to 2534 computations (28.5% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4982	1563
1	4982	1563

prune138.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	95	15	110

Error

29.8b

Counts

110 → 15

Compiler

Compiled 3599 to 1356 computations (62.3% saved)

regimes2.2s (17%)

Accuracy

Total 1.4b remaining (4.3%)

Threshold costs 0b (0%)

Compiler

Compiled 36528 to 22844 computations (37.5% saved)

bsearch101.0ms (0.8%)

Steps

Iters	Range		Point
10	-1.8186808189184655e-170	-8.923410235143473e-182	-1.7882623439717894e-170

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	108
1	74	108

end0.0ms (0%)

sample4.6s (35.6%)

Algorithm

1×

intervals

Results

1.2s	7572×	body	256	valid
97.0ms	1216×	body	128	nan
35.0ms	428×	body	128	valid

Compiler

Compiled 4677 to 2953 computations (36.9% saved)

Details

analyze606.0ms (4.7%)

sample59.0ms (0.5%)

simplify247.0ms (1.9%)

prune6.0ms (0%)

localize18.0ms (0.1%)

rewrite176.0ms (1.4%)

series1.1s (8.2%)

simplify71.0ms (0.6%)

prune193.0ms (1.5%)

localize22.0ms (0.2%)

rewrite127.0ms (1%)

series1.0s (7.9%)

simplify69.0ms (0.5%)

prune168.0ms (1.3%)

localize26.0ms (0.2%)

rewrite139.0ms (1.1%)

series737.0ms (5.7%)

simplify65.0ms (0.5%)

prune176.0ms (1.4%)

localize21.0ms (0.2%)

rewrite125.0ms (1%)

series669.0ms (5.2%)

simplify70.0ms (0.5%)

prune138.0ms (1.1%)

regimes2.2s (17%)

bsearch101.0ms (0.8%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.6s (35.6%)

Profiling