Details

analyze1.0ms (0.1%)

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 (0.9%)

Algorithm

1×

intervals

Results

6.0ms	57×	body	1280	valid
4.0ms	41×	body	640	valid
3.0ms	133×	body	80	valid
1.0ms	18×	body	320	valid
0.0ms	7×	body	160	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify16.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	72	11
1	72	11

prune3.0ms (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: 29.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
1.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`difference-of-squares_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-div_binary64` `distribute-lft-out_binary64` `pow1/3_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 43

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)

series32.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(cbrt.f64 x)
12.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
5.0ms	(cbrt.f64 (+.f64 x 1))

simplify107.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4816	734
1	4816	734

prune49.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Merged error: 9.0b

Counts

53 → 5

Compiler

Compiled 770 to 520 computations (32.5% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
1.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite21.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `difference-of-squares_binary64`
6×	`add-cube-cbrt_binary64` `distribute-lft-out--_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip--_binary64`

Counts

4 → 58

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)

series54.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
12.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
12.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify54.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4862	1026
1	4862	1026

prune64.0ms (3.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	70	5	75

Merged error: 9.0b

Counts

75 → 5

Compiler

Compiled 1709 to 1140 computations (33.3% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(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))

rewrite22.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 50

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

series41.0ms (2%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 x)
15.0ms	(-.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))
5.0ms	(cbrt.f64 (+.f64 x 1))
5.0ms	(cbrt.f64 (+.f64 x 1))

simplify114.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4865	802
1	4865	802

prune63.0ms (3.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	62	5	67

Merged error: 9.0b

Counts

67 → 5

Compiler

Compiled 1530 to 1136 computations (25.8% saved)

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
0.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)
10.0b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))) (cbrt.f64 x))

rewrite25.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1/3_binary64`
2×	`cbrt-div_binary64` `distribute-lft-out_binary64` `pow-pow_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sqr-pow_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 61

Calls

4 calls:

12.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))) (cbrt.f64 x))
7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series49.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 x)
14.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)
13.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))))) (cbrt.f64 x))
8.0ms	(cbrt.f64 (+.f64 x 1))

simplify120.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4909	966
1	4909	966

prune89.0ms (4.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Merged error: 9.0b

Counts

78 → 7

Compiler

Compiled 2237 to 1764 computations (21.1% saved)

regimes42.0ms (2.1%)

Compiler: Compiled 195 to 152 computations (22.1% saved)

bsearch23.0ms (1.1%)

Steps

Iters	Range		Point
8	0.0007833610021602754	0.6983160878025442	0.0011318025639599938
10	-9.735655000622098e+18	-2067.5662351634764	-3472.807911283923

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	109	127
1	109	127

end0.0ms (0%)

sample961.0ms (47.3%)

Algorithm

1×

intervals

Results

188.0ms	1674×	body	1280	valid
114.0ms	1257×	body	640	valid
96.0ms	4134×	body	80	valid
44.0ms	599×	body	320	valid
14.0ms	336×	body	160	valid

Compiler

Compiled 281 to 218 computations (22.4% saved)

Details

analyze1.0ms (0.1%)

sample19.0ms (0.9%)

simplify16.0ms (0.8%)

prune3.0ms (0.1%)

localize9.0ms (0.5%)

rewrite14.0ms (0.7%)

series32.0ms (1.6%)

simplify107.0ms (5.3%)

prune49.0ms (2.4%)

localize9.0ms (0.5%)

rewrite21.0ms (1.1%)

series54.0ms (2.6%)

simplify54.0ms (2.7%)

prune64.0ms (3.1%)

localize10.0ms (0.5%)

rewrite22.0ms (1.1%)

series41.0ms (2%)

simplify114.0ms (5.6%)

prune63.0ms (3.1%)

localize16.0ms (0.8%)

rewrite25.0ms (1.2%)

series49.0ms (2.4%)

simplify120.0ms (5.9%)

prune89.0ms (4.4%)

regimes42.0ms (2.1%)

bsearch23.0ms (1.1%)

simplify5.0ms (0.3%)

end0.0ms (0%)

sample961.0ms (47.3%)

Profiling