Details

analyze98.0ms (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)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	60×	body	1024	valid
4.0ms	141×	body	128	valid
2.0ms	33×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	6×	body	2048	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

28.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.5b	(cbrt.f64 x)
1.9b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite78.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

27.6b

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)

series205.0ms (4.2%)

Error

15.2b

Counts

3 → 21

Calls

3 calls:

72.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
70.0ms	(cbrt.f64 x)
39.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 765 to 662 computations (13.5% saved)

simplify82.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4867	957
1	4867	957

prune68.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Error

6.9b

Counts

71 → 6

Compiler

Compiled 975 to 656 computations (32.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 x))
0.5b	(cbrt.f64 x)
1.7b	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
1.9b	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))

rewrite102.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

Rules

29×	`cbrt-prod_binary64_450`
28×	`add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
12×	`add-cube-cbrt_binary64_454` `cancel-sign-sub-inv_binary64_385`
11×	`log-pow_binary64_508`
10×	`exp-prod_binary64_471` `log-prod_binary64_505`
8×	`difference-of-squares_binary64_388`
7×	`exp-sum_binary64_465`
6×	`add-log-exp_binary64_458` `distribute-lft-out--_binary64_371`
5×	`pow1_binary64_480`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`distribute-lft-out_binary64_370`
2×	`sub-neg_binary64_412` `pow1/3_binary64_501` `cbrt-div_binary64_451`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `flip--_binary64_394` `exp-diff_binary64_467` `log-div_binary64_506` `rem-log-exp_binary64_460` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 79

Calls

4 calls:

10.0ms	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
9.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1287 to 855 computations (33.6% saved)

series356.0ms (7.3%)

Error

6.9b

Counts

4 → 30

Calls

4 calls:

124.0ms	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
85.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
71.0ms	(cbrt.f64 x)
45.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1245 to 1104 computations (11.3% saved)

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4963	1610
1	4963	1610

prune99.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	109	6	115

Error

6.9b

Counts

115 → 6

Compiler

Compiled 1652 to 1141 computations (30.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 3)
0.3b	(cbrt.f64 (+.f64 1 x))
0.5b	(cbrt.f64 x)
1.9b	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))

rewrite121.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

Rules

35×	`add-sqr-sqrt_binary64_441`
34×	`*-un-lft-identity_binary64_419` `cbrt-prod_binary64_450`
12×	`difference-of-squares_binary64_388`
11×	`add-cube-cbrt_binary64_454`
10×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
9×	`distribute-lft-out--_binary64_371`
6×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
5×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
4×	`distribute-lft-out_binary64_370`
3×	`pow-unpow_binary64_496`
2×	`flip3--_binary64_423` `flip--_binary64_394` `pow1/3_binary64_501` `cbrt-div_binary64_451` `cube-div_binary64_448`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `flip3-+_binary64_422` `flip-+_binary64_393` `pow-pow_binary64_491` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `unpow3_binary64_485` `cube-mult_binary64_449` `rem-cube-cbrt_binary64_442` `sqr-pow_binary64_391`

Counts

4 → 88

Calls

4 calls:

10.0ms	(pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 3)
9.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1614 to 1131 computations (29.9% saved)

series387.0ms (8%)

Error

6.8b

Counts

4 → 30

Calls

4 calls:

149.0ms	(pow.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)) 3)
78.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
73.0ms	(cbrt.f64 x)
47.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1535 to 1368 computations (10.9% saved)

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4919	2114
1	4919	2114

prune133.0ms (2.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	115	9	124

Error

6.8b

Counts

124 → 9

Compiler

Compiled 2130 to 1548 computations (27.3% 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))
0.5b	(cbrt.f64 x)
20.4b	(-.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))

rewrite119.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

6.8b

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)

series305.0ms (6.3%)

Error

6.8b

Counts

4 → 30

Calls

4 calls:

83.0ms	(-.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))
79.0ms	(cbrt.f64 x)
52.0ms	(cbrt.f64 (+.f64 1 x))
50.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1690 to 1438 computations (14.9% saved)

simplify86.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4822	1096
1	4822	1096

prune106.0ms (2.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	86	9	95

Error

6.8b

Counts

95 → 9

Compiler

Compiled 1946 to 1445 computations (25.7% saved)

regimes298.0ms (6.1%)

Accuracy

Total 0.5b remaining (5.1%)

Threshold costs 0.5b (5.1%)

Compiler

Compiled 2470 to 2026 computations (18% saved)

bsearch31.0ms (0.6%)

Steps

Iters	Range		Point
8	0.0012580183527019337	0.5556527776568778	0.0016450788605323252
7	-67506.16465930322	-315.05886627332126	-1052.8852819088763

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	94	91
1	94	91

end0.0ms (0%)

sample2.0s (40.3%)

Algorithm

1×

intervals

Results

203.0ms	1999×	body	1024	valid
116.0ms	4279×	body	128	valid
73.0ms	972×	body	512	valid
30.0ms	238×	body	2048	valid
24.0ms	512×	body	256	valid

Compiler

Compiled 1249 to 1024 computations (18% saved)

Details

analyze98.0ms (2%)

sample21.0ms (0.4%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite78.0ms (1.6%)

series205.0ms (4.2%)

simplify82.0ms (1.7%)

prune68.0ms (1.4%)

localize9.0ms (0.2%)

rewrite102.0ms (2.1%)

series356.0ms (7.3%)

simplify97.0ms (2%)

prune99.0ms (2%)

localize8.0ms (0.2%)

rewrite121.0ms (2.5%)

series387.0ms (8%)

simplify56.0ms (1.1%)

prune133.0ms (2.7%)

localize10.0ms (0.2%)

rewrite119.0ms (2.5%)

series305.0ms (6.3%)

simplify86.0ms (1.8%)

prune106.0ms (2.2%)

regimes298.0ms (6.1%)

bsearch31.0ms (0.6%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (40.3%)

Profiling