Details

analyze97.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	62×	body	1024	valid
3.0ms	140×	body	128	valid
2.0ms	27×	body	512	valid
1.0ms	12×	body	2048	valid
1.0ms	15×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (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

28.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.9b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite77.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

28.2b

Rules

18×	`cbrt-prod_binary64_450`
16×	`*-un-lft-identity_binary64_419`
15×	`add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454`
6×	`cancel-sign-sub-inv_binary64_385`
5×	`add-log-exp_binary64_458`
4×	`difference-of-squares_binary64_388`
3×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `distribute-lft-out--_binary64_371`
2×	`distribute-lft-out_binary64_370` `pow1/3_binary64_501` `cbrt-div_binary64_451`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

3 → 49

Calls

3 calls:

9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 676 to 421 computations (37.7% saved)

series222.0ms (4.3%)

Error

17.1b

Counts

3 → 19

Calls

3 calls:

82.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
72.0ms	(cbrt.f64 x)
47.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 690 to 597 computations (13.5% saved)

simplify105.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4843	879
1	4843	879

prune67.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	9	69

Error

7.9b

Counts

69 → 9

Compiler

Compiled 944 to 630 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.9b	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
2.9b	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))

rewrite111.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

28×	`cbrt-prod_binary64_450`
26×	`add-sqr-sqrt_binary64_441`
24×	`*-un-lft-identity_binary64_419`
12×	`cancel-sign-sub-inv_binary64_385`
10×	`add-cube-cbrt_binary64_454`
8×	`add-log-exp_binary64_458` `difference-of-squares_binary64_388`
6×	`distribute-lft-out--_binary64_371`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
2×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `distribute-lft-out_binary64_370` `pow1/3_binary64_501`

Counts

4 → 70

Calls

4 calls:

9.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
9.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1674 to 1038 computations (38% saved)

series296.0ms (5.8%)

Error

7.9b

Counts

4 → 20

Calls

4 calls:

74.0ms	(cbrt.f64 x)
69.0ms	(cbrt.f64 x)
67.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
61.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))

Compiler

Compiled 1188 to 990 computations (16.7% saved)

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4814	1172
1	4814	1172

prune105.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	90	9	99

Error

7.9b

Counts

99 → 9

Compiler

Compiled 2069 to 1376 computations (33.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 x))
0.3b	(cbrt.f64 (+.f64 1 x))
0.6b	(cbrt.f64 x)
23.1b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))

rewrite125.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

14×	`cbrt-prod_binary64_450`
13×	`*-un-lft-identity_binary64_419`
9×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
6×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `cbrt-div_binary64_451`
3×	`pow1/3_binary64_501`
2×	`flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394`

Counts

4 → 56

Calls

4 calls:

22.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1618 to 1215 computations (24.9% saved)

series278.0ms (5.4%)

Error

7.9b

Counts

4 → 27

Calls

4 calls:

79.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
70.0ms	(cbrt.f64 x)
51.0ms	(cbrt.f64 (+.f64 1 x))
44.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1553 to 1321 computations (14.9% saved)

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4803	931
1	4803	931

prune110.0ms (2.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	82	10	92

Error

7.9b

Counts

92 → 10

Compiler

Compiled 1933 to 1442 computations (25.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 x))
0.3b	(cbrt.f64 (+.f64 1 x))
0.6b	(cbrt.f64 x)
23.1b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))

rewrite157.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

14×	`cbrt-prod_binary64_450`
13×	`*-un-lft-identity_binary64_419`
9×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
6×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `cbrt-div_binary64_451`
3×	`pow1/3_binary64_501`
2×	`flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394`

Counts

4 → 56

Calls

4 calls:

19.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2212 to 1743 computations (21.2% saved)

series311.0ms (6.1%)

Error

7.9b

Counts

4 → 27

Calls

4 calls:

82.0ms	(cbrt.f64 x)
80.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 2) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
54.0ms	(cbrt.f64 (+.f64 1 x))
54.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1958 to 1681 computations (14.1% saved)

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4849	938
1	4849	938

prune132.0ms (2.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	82	11	93

Error

7.9b

Counts

93 → 11

Compiler

Compiled 2416 to 1876 computations (22.4% saved)

regimes338.0ms (6.6%)

Accuracy

Total 0.4b remaining (4.4%)

Threshold costs 0.4b (4.4%)

Compiler

Compiled 3233 to 2577 computations (20.3% saved)

bsearch43.0ms (0.9%)

Steps

Iters	Range		Point
9	0.0295139450723404	129927.65280604869	0.20902176016577453
10	-96750542330749.23	-223.0695383737092	-5278.93460564761

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	85	109
1	85	109

end0.0ms (0%)

sample2.2s (43.8%)

Algorithm

1×

intervals

Results

200.0ms	1992×	body	1024	valid
104.0ms	4249×	body	128	valid
73.0ms	1015×	body	512	valid
28.0ms	223×	body	2048	valid
23.0ms	521×	body	256	valid

Compiler

Compiled 1658 to 1321 computations (20.3% saved)

Details

analyze97.0ms (1.9%)

sample20.0ms (0.4%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite77.0ms (1.5%)

series222.0ms (4.3%)

simplify105.0ms (2.1%)

prune67.0ms (1.3%)

localize8.0ms (0.2%)

rewrite111.0ms (2.2%)

series296.0ms (5.8%)

simplify48.0ms (0.9%)

prune105.0ms (2.1%)

localize10.0ms (0.2%)

rewrite125.0ms (2.5%)

series278.0ms (5.4%)

simplify84.0ms (1.6%)

prune110.0ms (2.2%)

localize14.0ms (0.3%)

rewrite157.0ms (3.1%)

series311.0ms (6.1%)

simplify87.0ms (1.7%)

prune132.0ms (2.6%)

regimes338.0ms (6.6%)

bsearch43.0ms (0.9%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.2s (43.8%)

Profiling