Details

analyze95.0ms (2.1%)

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)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	131×	body	128	valid
6.0ms	61×	body	1024	valid
3.0ms	38×	body	512	valid
1.0ms	9×	body	2048	valid
1.0ms	17×	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

31.0b

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)
3.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite75.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

18×	`cbrt-prod_binary64_791`
16×	`*-un-lft-identity_binary64_760`
15×	`add-sqr-sqrt_binary64_782`
7×	`add-cube-cbrt_binary64_795`
6×	`cancel-sign-sub-inv_binary64_726`
5×	`add-log-exp_binary64_799`
4×	`difference-of-squares_binary64_729`
3×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `distribute-lft-out--_binary64_712`
2×	`distribute-lft-out_binary64_711` `pow1/3_binary64_842` `cbrt-div_binary64_792`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `flip3-+_binary64_763` `flip-+_binary64_734`

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)

series187.0ms (4.1%)

Error

16.6b

Counts

3 → 17

Calls

3 calls:

67.0ms	(cbrt.f64 x)
65.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
36.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 560 to 482 computations (13.9% saved)

simplify98.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4818	808
1	4818	808

prune61.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	7	67

Error

7.7b

Counts

67 → 7

Compiler

Compiled 875 to 578 computations (33.9% 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)
21.9b	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

rewrite64.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

7.7b

Rules

9×	`cbrt-prod_binary64_791`
7×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`add-log-exp_binary64_799`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`pow1/3_binary64_842`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726`

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)

series304.0ms (6.6%)

Error

7.7b

Counts

4 → 16

Calls

4 calls:

78.0ms	(cbrt.f64 x)
76.0ms	(cbrt.f64 x)
69.0ms	(cbrt.f64 x)
66.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

Compiler

Compiled 761 to 572 computations (24.8% saved)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4806	528
1	4806	528

prune55.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	61	7	68

Error

7.7b

Counts

68 → 7

Compiler

Compiled 1129 to 559 computations (50.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 x))
0.3b	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
0.6b	(cbrt.f64 x)
12.2b	(-.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))

rewrite131.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

7.7b

Rules

22×	`cbrt-div_binary64_792`
11×	`cbrt-prod_binary64_791`
10×	`*-un-lft-identity_binary64_760`
8×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
7×	`flip3-+_binary64_763` `flip-+_binary64_734`
6×	`add-log-exp_binary64_799` `cancel-sign-sub-inv_binary64_726`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `frac-times_binary64_770`
3×	`pow1/3_binary64_842`
2×	`associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `distribute-lft-out_binary64_711`

Counts

4 → 59

Calls

4 calls:

14.0ms	(-.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))
10.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
3.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1753 to 1298 computations (26% saved)

series255.0ms (5.5%)

Error

7.7b

Counts

4 → 25

Calls

4 calls:

77.0ms	(cbrt.f64 x)
74.0ms	(-.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))
43.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
35.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1220 to 1028 computations (15.7% saved)

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4858	1180
1	4858	1180

prune110.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	83	8	91

Error

7.7b

Counts

91 → 8

Compiler

Compiled 1953 to 1430 computations (26.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
15.6b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

rewrite115.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

7.7b

Rules

10×	`cbrt-prod_binary64_791`
7×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`add-log-exp_binary64_799`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`pow1/3_binary64_842`
2×	`pow3_binary64_843`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `difference-cubes_binary64_762` `sub-neg_binary64_753` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 46

Calls

4 calls:

25.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (.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 1750 to 945 computations (46% saved)

series339.0ms (7.4%)

Error

7.7b

Counts

4 → 16

Calls

4 calls:

86.0ms	(cbrt.f64 x)
85.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)
68.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

Compiler

Compiled 1085 to 842 computations (22.4% saved)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4985	579
1	4985	579

prune75.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	62	8	70

Error

7.7b

Counts

70 → 8

Compiler

Compiled 1617 to 958 computations (40.8% saved)

regimes305.0ms (6.6%)

Accuracy

Total 0.4b remaining (4.5%)

Threshold costs 0.4b (4.5%)

Compiler

Compiled 2916 to 2105 computations (27.8% saved)

bsearch43.0ms (0.9%)

Steps

Iters	Range		Point
10	9.507029280045465e-05	389655108.4223164	0.00018543274228183474
9	-194041967.6853312	-1.361330565273614	-68547.10963533445

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	77	98
1	77	98

end0.0ms (0%)

sample2.0s (43.2%)

Algorithm

1×

intervals

Results

184.0ms	1966×	body	1024	valid
105.0ms	4332×	body	128	valid
77.0ms	991×	body	512	valid
26.0ms	218×	body	2048	valid
22.0ms	493×	body	256	valid

Compiler

Compiled 1493 to 1080 computations (27.7% saved)

Details

analyze95.0ms (2.1%)

sample24.0ms (0.5%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite75.0ms (1.6%)

series187.0ms (4.1%)

simplify98.0ms (2.1%)

prune61.0ms (1.3%)

localize9.0ms (0.2%)

rewrite64.0ms (1.4%)

series304.0ms (6.6%)

simplify71.0ms (1.5%)

prune55.0ms (1.2%)

localize12.0ms (0.3%)

rewrite131.0ms (2.9%)

series255.0ms (5.5%)

simplify73.0ms (1.6%)

prune110.0ms (2.4%)

localize16.0ms (0.3%)

rewrite115.0ms (2.5%)

series339.0ms (7.4%)

simplify75.0ms (1.6%)

prune75.0ms (1.6%)

regimes305.0ms (6.6%)

bsearch43.0ms (0.9%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (43.2%)

Profiling