Details

analyze98.0ms (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 (0.5%)

Algorithm

1×

intervals

Results

5.0ms	58×	body	1024	valid
4.0ms	141×	body	128	valid
2.0ms	28×	body	512	valid
1.0ms	10×	body	2048	valid
1.0ms	19×	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

29.6b

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)
3.1b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite83.0ms (1.9%)

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:

8.0ms	(-.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)

series221.0ms (5.1%)

Error

15.6b

Counts

3 → 21

Calls

3 calls:

83.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
74.0ms	(cbrt.f64 x)
39.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 765 to 662 computations (13.5% saved)

simplify80.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4867	957
1	4867	957

prune69.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	65	5	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	5	71

Error

7.5b

Counts

71 → 5

Compiler

Compiled 956 to 639 computations (33.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
22.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

rewrite61.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

9×	`cbrt-prod_binary64_450`
7×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`add-log-exp_binary64_458`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 45

Calls

4 calls:

8.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1051 to 373 computations (64.5% saved)

series308.0ms (7.1%)

Error

7.5b

Counts

4 → 18

Calls

4 calls:

77.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
72.0ms	(cbrt.f64 x)
71.0ms	(cbrt.f64 x)
71.0ms	(cbrt.f64 x)

Compiler

Compiled 868 to 669 computations (22.9% saved)

simplify51.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4904	622
1	4904	622

prune58.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Error

7.5b

Counts

68 → 5

Compiler

Compiled 1167 to 590 computations (49.4% 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)
22.6b	(-.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))

rewrite120.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

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)

series290.0ms (6.6%)

Error

7.5b

Counts

4 → 30

Calls

4 calls:

84.0ms	(-.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))
74.0ms	(cbrt.f64 x)
45.0ms	(cbrt.f64 (+.f64 1 x))
44.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1690 to 1438 computations (14.9% saved)

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4822	1096
1	4822	1096

prune111.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	86	5	91

Error

7.5b

Counts

91 → 5

Compiler

Compiled 1999 to 1491 computations (25.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.4b	(-.f64 (cbrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 (cbrt.f64 x))))
12.4b	(log.f64 (exp.f64 (cbrt.f64 x)))

rewrite79.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

Rules

18×	`*-un-lft-identity_binary64_419`
17×	`add-sqr-sqrt_binary64_441`
15×	`log-pow_binary64_508`
14×	`cbrt-prod_binary64_450`
13×	`add-cube-cbrt_binary64_454`
12×	`exp-prod_binary64_471`
10×	`cancel-sign-sub-inv_binary64_385`
7×	`pow1_binary64_480`
6×	`log-prod_binary64_505`
5×	`add-log-exp_binary64_458`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`associate--r+_binary64_355`
2×	`difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `pow1/3_binary64_501` `cbrt-div_binary64_451`
1×	`rem-log-exp_binary64_460` `diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370`

Counts

4 → 71

Calls

4 calls:

12.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 (cbrt.f64 x))))
3.0ms	(cbrt.f64 (+.f64 x 1))
2.0ms	(log.f64 (exp.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1109 to 578 computations (47.9% saved)

series368.0ms (8.4%)

Error

7.5b

Counts

4 → 24

Calls

4 calls:

138.0ms	(log.f64 (exp.f64 (cbrt.f64 x)))
80.0ms	(cbrt.f64 x)
77.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 (cbrt.f64 x))))
46.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 986 to 847 computations (14.1% saved)

simplify86.0ms (2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4787	1060
1	4787	1060

prune76.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	5	100

Error

7.5b

Counts

100 → 5

Compiler

Compiled 1187 to 691 computations (41.8% saved)

regimes253.0ms (5.8%)

Accuracy

Total 0.5b remaining (5.4%)

Threshold costs 0.5b (5.4%)

Compiler

Compiled 2227 to 1711 computations (23.2% saved)

bsearch34.0ms (0.8%)

Steps

Iters	Range		Point
9	1.5695784810256984e-25	3.087693178300233e-16	5.878760985559579e-23
9	-702881.8531393944	-0.0007943561357028496	-0.9930234061643127

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	82	92
1	82	92

end0.0ms (0%)

sample1.8s (40.5%)

Algorithm

1×

intervals

Results

196.0ms	1978×	body	1024	valid
107.0ms	4355×	body	128	valid
69.0ms	970×	body	512	valid
26.0ms	216×	body	2048	valid
21.0ms	481×	body	256	valid

Compiler

Compiled 1120 to 862 computations (23% saved)

Details

analyze98.0ms (2.2%)

sample20.0ms (0.5%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite83.0ms (1.9%)

series221.0ms (5.1%)

simplify80.0ms (1.8%)

prune69.0ms (1.6%)

localize9.0ms (0.2%)

rewrite61.0ms (1.4%)

series308.0ms (7.1%)

simplify51.0ms (1.2%)

prune58.0ms (1.3%)

localize10.0ms (0.2%)

rewrite120.0ms (2.8%)

series290.0ms (6.6%)

simplify83.0ms (1.9%)

prune111.0ms (2.5%)

localize8.0ms (0.2%)

rewrite79.0ms (1.8%)

series368.0ms (8.4%)

simplify86.0ms (2%)

prune76.0ms (1.7%)

regimes253.0ms (5.8%)

bsearch34.0ms (0.8%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.8s (40.5%)

Profiling