Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

sample11.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

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: 14.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

14.6b

(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590` `times-frac_binary64_585` `add-sqr-sqrt_binary64_575`
3×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554` `associate-/l_binary64_654` `associate-/r_binary64_653`
2×	`associate-/r/_binary64_655`
1×	`flip-+_binary64_615` `div-inv_binary64_591` `cbrt-undiv_binary64_560` `add-log-exp_binary64_555` `frac-2neg_binary64_583` `pow1_binary64_532` `flip3-+_binary64_588` `clear-num_binary64_593` `div-exp_binary64_539`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 x (+.f64 (*.f64 x x) 1))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(/.f64 x (+.f64 (*.f64 x x) 1))

simplify76.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4990	550
1	4990	550

prune33.0ms

Filtered

26 candidates to 32 candidates (-23.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0b

Counts

33 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

8.4b	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 (.f64 x x) 1)) (cbrt.f64 (+.f64 (.f64 x x) 1))))
15.0b	(cbrt.f64 (+.f64 (*.f64 x x) 1))
15.0b	(cbrt.f64 (+.f64 (*.f64 x x) 1))
15.0b	(cbrt.f64 (+.f64 (*.f64 x x) 1))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64_558`
16×	`add-exp-log_binary64_554`
9×	`flip-+_binary64_615` `cbrt-prod_binary64_557` `flip3-+_binary64_588`
8×	`add-cbrt-cube_binary64_562` `associate-/r/_binary64_655`
7×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590` `add-sqr-sqrt_binary64_575`
4×	`cbrt-unprod_binary64_559` `cbrt-undiv_binary64_560` `prod-exp_binary64_537` `frac-times_binary64_582` `add-log-exp_binary64_555` `pow1_binary64_532` `div-exp_binary64_539`
3×	`pow1/3_binary64_524`
2×	`associate-l/_binary64_652` `associate-r/_binary64_651`
1×	`div-inv_binary64_591` `frac-2neg_binary64_583` `times-frac_binary64_585` `associate-/l_binary64_654` `associate-/r_binary64_653` `clear-num_binary64_593`

Counts

4 → 68

Calls

4 calls:

16.0ms	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 (.f64 x x) 1)) (cbrt.f64 (+.f64 (.f64 x x) 1))))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))

series227.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 (.f64 x x) 1)) (cbrt.f64 (+.f64 (.f64 x x) 1))))
46.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))
46.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))
52.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))

simplify107.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4883	1549
1	4883	1549

prune105.0ms

Filtered

67 candidates to 80 candidates (-19.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	80	4	84

Merged error: 0b

Counts

84 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (pow.f64 x 5))
0.3b	(pow.f64 (/.f64 1 x) 3)
15.0b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (pow.f64 (/.f64 1 x) 3))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64_575`
46×	`*-un-lft-identity_binary64_590`
43×	`times-frac_binary64_585`
34×	`add-cube-cbrt_binary64_561`
28×	`unpow-prod-down_binary64_521`
17×	`add-exp-log_binary64_554`
16×	`cube-prod_binary64_563`
8×	`add-cbrt-cube_binary64_562` `difference-of-squares_binary64_619` `add-log-exp_binary64_555` `div-exp_binary64_539`
7×	`div-inv_binary64_591` `associate-/r*_binary64_653` `pow-exp_binary64_510`
6×	`sqr-pow_binary64_622`
5×	`pow1_binary64_532` `distribute-lft-out--_binary64_635`
4×	`pow-to-exp_binary64_511` `distribute-lft-out_binary64_634` `cube-div_binary64_564` `rec-exp_binary64_538` `1-exp_binary64_550`
3×	`pow-pow_binary64_514` `frac-sub_binary64_581` `pow-unpow_binary64_519` `associate-/l*_binary64_654`
2×	`rem-cube-cbrt_binary64_566` `pow-flip_binary64_516` `cbrt-undiv_binary64_560` `inv-pow_binary64_508` `diff-log_binary64_501`
1×	`flip-+_binary64_615` `sub-neg_binary64_594` `flip--_binary64_616` `associate--l+_binary64_646` `cube-mult_binary64_565` `frac-2neg_binary64_583` `flip3--_binary64_589` `unpow3_binary64_530` `flip3-+_binary64_588` `clear-num_binary64_593` `sum-log_binary64_500` `frac-add_binary64_580`

Counts

3 → 132

Calls

3 calls:

5.0ms	(/.f64 1 (pow.f64 x 5))
5.0ms	(pow.f64 (/.f64 1 x) 3)
38.0ms	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (pow.f64 (/.f64 1 x) 3))

series72.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/.f64 1 (pow.f64 x 5))
22.0ms	(pow.f64 (/.f64 1 x) 3)
24.0ms	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (pow.f64 (/.f64 1 x) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5195	2266

prune81.0ms

Filtered

61 candidates to 141 candidates (-131.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	141	4	145

Merged error: 0b

Counts

145 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

5.0b	(/.f64 (sqrt.f64 x) (.f64 (cbrt.f64 (+.f64 (.f64 x x) 1)) (cbrt.f64 (+.f64 (*.f64 x x) 1))))
15.0b	(cbrt.f64 (+.f64 (*.f64 x x) 1))
15.0b	(cbrt.f64 (+.f64 (*.f64 x x) 1))
15.0b	(cbrt.f64 (+.f64 (*.f64 x x) 1))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64_558`
11×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590` `add-sqr-sqrt_binary64_575`
9×	`flip-+_binary64_615` `add-exp-log_binary64_554` `cbrt-prod_binary64_557` `flip3-+_binary64_588`
8×	`associate-/r/_binary64_655`
7×	`add-cbrt-cube_binary64_562`
6×	`times-frac_binary64_585` `sqrt-prod_binary64_569` `associate-/l*_binary64_654`
4×	`frac-times_binary64_582` `add-log-exp_binary64_555` `pow1_binary64_532`
3×	`pow1/3_binary64_524`
2×	`cbrt-undiv_binary64_560` `associate-l/_binary64_652` `associate-r/_binary64_651` `div-exp_binary64_539`
1×	`cbrt-unprod_binary64_559` `div-inv_binary64_591` `prod-exp_binary64_537` `frac-2neg_binary64_583` `associate-/r*_binary64_653` `clear-num_binary64_593`

Counts

4 → 74

Calls

4 calls:

14.0ms	(/.f64 (sqrt.f64 x) (.f64 (cbrt.f64 (+.f64 (.f64 x x) 1)) (cbrt.f64 (+.f64 (*.f64 x x) 1))))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))

series218.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/.f64 (sqrt.f64 x) (.f64 (cbrt.f64 (+.f64 (.f64 x x) 1)) (cbrt.f64 (+.f64 (*.f64 x x) 1))))
52.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))
47.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))
51.0ms	(cbrt.f64 (+.f64 (*.f64 x x) 1))

simplify89.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5034	1764

prune102.0ms

Filtered

73 candidates to 86 candidates (-17.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	86	4	90

Merged error: 0b

Counts

90 → 4

regimes41.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.9b

bsearch24.0ms

Steps

Iters	Range		Point
8	4.131654008561098	41970.305899277315	364.5438020511873
9	-2.3578301361268667e+44	-1.6591217657067096e+38	-1.7393638721435323e+41

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	46
1	37	46

end0.0ms

sample249.0ms

Algorithm

intervals

Results

164.0ms

8000×

body

valid

Details

analyze1.0ms

sample11.0ms

simplify12.0ms

prune1.0ms

localize4.0ms

rewrite7.0ms

series23.0ms

simplify76.0ms

prune33.0ms

localize11.0ms

rewrite30.0ms

series227.0ms

simplify107.0ms

prune105.0ms

localize9.0ms

rewrite52.0ms

series72.0ms

simplify83.0ms

prune81.0ms

localize10.0ms

rewrite28.0ms

series218.0ms

simplify89.0ms

prune102.0ms

regimes41.0ms

bsearch24.0ms

simplify3.0ms

end0.0ms

sample249.0ms

Profiling