Details

analyze1.0ms

Algorithm

Search

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

sample19.0ms

Algorithm

intervals

Results

7.0ms	55×	body	1280	valid
3.0ms	144×	body	80	valid
3.0ms	35×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	13×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	72	11
1	72	11

prune1.0ms

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: 26.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
2.9b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite13.0ms

Algorithm

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:

3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)
8.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series173.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(cbrt.f64 (+.f64 x 1))
82.0ms	(cbrt.f64 x)
66.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify106.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4790	710
1	4790	710

prune59.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

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: 0.3b

Counts

53 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
7.6b	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
15.9b	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
19.6b	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64`
10×	`difference-of-squares_binary64`
8×	`times-frac_binary64`
7×	`add-cube-cbrt_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` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt.f64 x)
31.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
6.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
5.0ms	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt.f64 x)
75.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
30.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
104.0ms	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))

simplify106.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4942	1949
1	4942	1949

prune94.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	72	5	77

Merged error: 0.3b

Counts

77 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

3.5b	(log.f64 (exp.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))))
7.6b	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
15.9b	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
19.6b	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64`
33×	`cbrt-prod_binary64`
20×	`difference-of-squares_binary64`
16×	`times-frac_binary64`
15×	`log-pow_binary64`
14×	`*-un-lft-identity_binary64` `exp-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64`
4×	`cbrt-div_binary64` `log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `log-div_binary64` `flip--_binary64`

Counts

4 → 77

Calls

4 calls:

31.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))))
34.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
6.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
5.0ms	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))))
69.0ms	(-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) (cbrt.f64 x))
26.0ms	(cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))
99.0ms	(cbrt.f64 (+.f64 1 (pow.f64 x 3)))

simplify115.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4921	2906
1	4921	2906

prune134.0ms

Filtered

79 candidates to 89 candidates (-12.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0.3b

Counts

94 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x 1/9) 1/3)
0.3b	(.f64 x (-.f64 (.f64 x 1/9) 1/3))
0.4b	(*.f64 x 1/9)
0.6b	(cbrt.f64 x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64`
3×	`sub-neg_binary64` `cbrt-prod_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

4 → 62

Calls

4 calls:

4.0ms	(-.f64 (*.f64 x 1/9) 1/3)
6.0ms	(.f64 x (-.f64 (.f64 x 1/9) 1/3))
3.0ms	(*.f64 x 1/9)
1.0ms	(cbrt.f64 x)

series152.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(-.f64 (*.f64 x 1/9) 1/3)
34.0ms	(.f64 x (-.f64 (.f64 x 1/9) 1/3))
11.0ms	(*.f64 x 1/9)
86.0ms	(cbrt.f64 x)

simplify88.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5057	665

prune47.0ms

Filtered

51 candidates to 74 candidates (-45.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	74	5	79

Merged error: 0.3b

Counts

79 → 5

regimes24.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 31.5b

bsearch32.0ms

Steps

Iters	Range		Point
9	11.781981943227008	91458818.1409454	78115.69009331349
9	-1365912388.178581	-4709.116086866318	-76484.35332027072

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	61
1	55	61

end0.0ms

sample586.0ms

Algorithm

intervals

Results

220.0ms	1758×	body	1280	valid
119.0ms	1268×	body	640	valid
95.0ms	4002×	body	80	valid
43.0ms	632×	body	320	valid
15.0ms	340×	body	160	valid

Details

analyze1.0ms

sample19.0ms

simplify15.0ms

prune1.0ms

localize6.0ms

rewrite13.0ms

series173.0ms

simplify106.0ms

prune59.0ms

localize14.0ms

rewrite46.0ms

series298.0ms

simplify106.0ms

prune94.0ms

localize16.0ms

rewrite80.0ms

series265.0ms

simplify115.0ms

prune134.0ms

localize9.0ms

rewrite16.0ms

series152.0ms

simplify88.0ms

prune47.0ms

regimes24.0ms

bsearch32.0ms

simplify4.0ms

end0.0ms

sample586.0ms

Profiling