Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	63×	body	1024	valid
3.0ms	132×	body	128	valid
2.0ms	30×	body	512	valid
2.0ms	14×	body	2048	valid
1.0ms	17×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify100.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0.1%)

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

Merged error: 30.3b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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×	`distribute-lft-out--_binary64_371` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
2×	`pow1/3_binary64_501` `cbrt-div_binary64_451` `distribute-lft-out_binary64_370`
1×	`flip3-+_binary64_422` `sub-neg_binary64_412` `flip3--_binary64_423` `flip-+_binary64_393` `diff-log_binary64_511` `flip--_binary64_394`

Counts

3 → 49

Calls

3 calls:

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

series172.0ms (5.5%)

Counts

3 → 16

Calls

3 calls:

84.0ms	(cbrt.f64 x)
55.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
32.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 310 to 275 computations (11.3% saved)

simplify74.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4785	789
1	4785	789

prune64.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	57	8	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	8	66

Merged error: 16.5b

Counts

66 → 8

Compiler

Compiled 881 to 593 computations (32.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
2.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

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×	`difference-of-squares_binary64_388` `add-log-exp_binary64_458`
6×	`distribute-lft-out--_binary64_371`
4×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
2×	`pow1/3_binary64_501` `sub-neg_binary64_412` `distribute-lft-out_binary64_370` `flip3--_binary64_423` `diff-log_binary64_511` `flip--_binary64_394`

Counts

4 → 70

Calls

4 calls:

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

series292.0ms (9.4%)

Counts

4 → 18

Calls

4 calls:

94.0ms	(cbrt.f64 x)
93.0ms	(cbrt.f64 x)
54.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
50.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

Compiler

Compiled 642 to 550 computations (14.3% saved)

simplify69.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4760	1106
1	4760	1106

prune107.0ms (3.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	87	9	96

Merged error: 16.5b

Counts

96 → 9

Compiler

Compiled 2032 to 1353 computations (33.4% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
0.3b	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
0.6b	(cbrt.f64 x)
10.0b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite34.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-div_binary64_451`
18×	`cbrt-prod_binary64_450`
11×	`*-un-lft-identity_binary64_419`
9×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
7×	`flip3-+_binary64_422` `flip-+_binary64_393`
6×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
4×	`frac-times_binary64_429` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`pow1/3_binary64_501`
2×	`associate-l/_binary64_362` `associate-r/_binary64_361`
1×	`sub-neg_binary64_412` `distribute-lft-out_binary64_370` `flip3--_binary64_423` `diff-log_binary64_511` `flip--_binary64_394`

Counts

4 → 62

Calls

4 calls:

14.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
9.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
1.0ms	(cbrt.f64 x)

series235.0ms (7.6%)

Counts

4 → 23

Calls

4 calls:

95.0ms	(cbrt.f64 x)
61.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
40.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
40.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))

Compiler

Compiled 663 to 574 computations (13.4% saved)

simplify69.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5169	1217

prune121.0ms (3.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	82	12	94

Merged error: 16.5b

Counts

94 → 12

Compiler

Compiled 2067 to 1534 computations (25.8% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
0.6b	(cbrt.f64 x)
22.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite40.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

23.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
3.0ms	(cbrt.f64 x)

series233.0ms (7.5%)

Counts

4 → 23

Calls

4 calls:

103.0ms	(cbrt.f64 x)
60.0ms	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
35.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))
34.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x 1)))

Compiler

Compiled 733 to 633 computations (13.6% saved)

simplify67.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5233	1025

prune104.0ms (3.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	85	12	97

Merged error: 16.5b

Counts

97 → 12

Compiler

Compiled 1884 to 1421 computations (24.6% saved)

regimes115.0ms (3.7%)

Compiler: Compiled 1020 to 825 computations (19.1% saved)

bsearch16.0ms (0.5%)

Steps

Iters	Range		Point
8	1.0595922058305643e-07	0.002451907237591909	3.7610997609678704e-05

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	66
1	37	66

end0.0ms (0%)

sample1.1s (35.2%)

Algorithm

1×

intervals

Results

192.0ms	1984×	body	1024	valid
111.0ms	4244×	body	128	valid
75.0ms	1037×	body	512	valid
29.0ms	229×	body	2048	valid
26.0ms	506×	body	256	valid

Compiler

Compiled 524 to 423 computations (19.3% saved)

Details

analyze1.0ms (0%)

sample19.0ms (0.6%)

simplify100.0ms (3.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite17.0ms (0.5%)

series172.0ms (5.5%)

simplify74.0ms (2.4%)

prune64.0ms (2.1%)

localize8.0ms (0.3%)

rewrite27.0ms (0.9%)

series292.0ms (9.4%)

simplify69.0ms (2.2%)

prune107.0ms (3.4%)

localize12.0ms (0.4%)

rewrite34.0ms (1.1%)

series235.0ms (7.6%)

simplify69.0ms (2.2%)

prune121.0ms (3.9%)

localize10.0ms (0.3%)

rewrite40.0ms (1.3%)

series233.0ms (7.5%)

simplify67.0ms (2.1%)

prune104.0ms (3.4%)

regimes115.0ms (3.7%)

bsearch16.0ms (0.5%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35.2%)

Profiling