Details

analyze140.0ms (2.2%)

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 (0.3%)

Algorithm

1×

intervals

Results

6.0ms	65×	body	1024	valid
3.0ms	135×	body	128	valid
2.0ms	36×	body	512	valid
1.0ms	15×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.1%)

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

29.4b

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))
0.7b	(cbrt.f64 x)
2.0b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite102.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

28.9b

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:

12.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
5.0ms	(cbrt.f64 x)
3.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 676 to 421 computations (37.7% saved)

series279.0ms (4.3%)

Error

15.8b

Counts

3 → 21

Calls

3 calls:

114.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
88.0ms	(cbrt.f64 x)
44.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 765 to 662 computations (13.5% saved)

simplify89.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4867	957
1	4867	957

prune80.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Error

7.1b

Counts

71 → 7

Compiler

Compiled 987 to 666 computations (32.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 x))
0.3b	(cbrt.f64 (+.f64 1 x))
0.7b	(cbrt.f64 x)
20.0b	(-.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))

rewrite136.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

7.1b

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:

24.0ms	(-.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)

series362.0ms (5.6%)

Error

7.1b

Counts

4 → 30

Calls

4 calls:

96.0ms	(-.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))
90.0ms	(cbrt.f64 x)
68.0ms	(cbrt.f64 (+.f64 1 x))
65.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1690 to 1438 computations (14.9% saved)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4822	1096
1	4822	1096

prune133.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Error

7.1b

Counts

93 → 7

Compiler

Compiled 2046 to 1527 computations (25.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 x))
0.3b	(cbrt.f64 (+.f64 1 x))
0.7b	(cbrt.f64 x)
9.8b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))

rewrite145.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

7.1b

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:

23.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (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 1552 to 1149 computations (26% saved)

series362.0ms (5.6%)

Error

7.1b

Counts

4 → 30

Calls

4 calls:

107.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
81.0ms	(cbrt.f64 x)
65.0ms	(cbrt.f64 (+.f64 1 x))
56.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1643 to 1391 computations (15.3% saved)

simplify83.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4834	1114
1	4834	1114

prune127.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Error

7.1b

Counts

93 → 9

Compiler

Compiled 2025 to 1496 computations (26.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 x))
0.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 6)
0.7b	(cbrt.f64 x)
9.8b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))) (cbrt.f64 x))

rewrite186.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

7.1b

Rules

21×	`cbrt-prod_binary64_450`
16×	`*-un-lft-identity_binary64_419`
12×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
10×	`unpow-prod-down_binary64_498`
6×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
5×	`pow1_binary64_480` `add-exp-log_binary64_457`
4×	`add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501` `pow-unpow_binary64_496`
2×	`distribute-lft-out_binary64_370` `pow-pow_binary64_491` `cbrt-div_binary64_451`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `sqr-pow_binary64_391` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 67

Calls

4 calls:

21.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))) (cbrt.f64 x))
10.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 6)
3.0ms	(cbrt.f64 (+.f64 1 x))
2.0ms	(cbrt.f64 x)

Compiler

Compiled 2625 to 2090 computations (20.4% saved)

series421.0ms (6.5%)

Error

7.1b

Counts

4 → 30

Calls

4 calls:

130.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 6)
81.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))))) (cbrt.f64 x))
79.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 2068 to 1769 computations (14.5% saved)

simplify111.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4873	1269
1	4873	1269

prune221.0ms (3.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	5	6
Picked	1	0	1
Done	0	2	2
Total	98	8	106

Error

7.1b

Counts

106 → 8

Compiler

Compiled 2880 to 2258 computations (21.6% saved)

regimes418.0ms (6.5%)

Accuracy

Total 0.4b remaining (4.2%)

Threshold costs 0.4b (4.2%)

Compiler

Compiled 3148 to 2558 computations (18.7% saved)

bsearch52.0ms (0.8%)

Steps

Iters	Range		Point
10	3.3112572332008803e-22	4.770395425546195e-09	1.730825956510479e-12
10	-2293687748.3617687	-0.1827838060324987	-813.35607786875

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	178	122
1	178	122

end0.0ms (0%)

sample2.8s (44.1%)

Algorithm

1×

intervals

Results

247.0ms	1980×	body	1024	valid
139.0ms	4263×	body	128	valid
90.0ms	1036×	body	512	valid
34.0ms	216×	body	2048	valid
34.0ms	505×	body	256	valid

Compiler

Compiled 1633 to 1324 computations (18.9% saved)

Details

analyze140.0ms (2.2%)

sample20.0ms (0.3%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite102.0ms (1.6%)

series279.0ms (4.3%)

simplify89.0ms (1.4%)

prune80.0ms (1.2%)

localize9.0ms (0.1%)

rewrite136.0ms (2.1%)

series362.0ms (5.6%)

simplify80.0ms (1.2%)

prune133.0ms (2.1%)

localize16.0ms (0.2%)

rewrite145.0ms (2.2%)

series362.0ms (5.6%)

simplify83.0ms (1.3%)

prune127.0ms (2%)

localize15.0ms (0.2%)

rewrite186.0ms (2.9%)

series421.0ms (6.5%)

simplify111.0ms (1.7%)

prune221.0ms (3.4%)

regimes418.0ms (6.5%)

bsearch52.0ms (0.8%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.8s (44.1%)

Profiling