Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample44.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	111×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune8.0ms

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: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64_539`
4×	`sum-log_binary64_489`
2×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `pow1_binary64_520` `add-cbrt-cube_binary64_546` `+-commutative_binary64_641` `add-sqr-sqrt_binary64_559` `flip3-+_binary64_572` `flip-+_binary64_599` `add-exp-log_binary64_538`
1×	`associate-+l+_binary64_626`

Counts

2 → 24

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series108.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
39.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify78.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4994	546
1	4994	546

prune117.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b)))))
0.5b	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
0.5b	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
0.5b	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_541`
23×	`add-sqr-sqrt_binary64_559`
18×	`cbrt-div_binary64_542`
15×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
11×	`pow1_binary64_520`
9×	`pow1/3_binary64_512` `flip3-+_binary64_572` `flip-+_binary64_599`
6×	`associate-l_binary64_634` `swap-sqr_binary64_601` `associate-r_binary64_633` `add-exp-log_binary64_538`
4×	`frac-times_binary64_566` `add-cbrt-cube_binary64_546` `unswap-sqr_binary64_602` `add-log-exp_binary64_539`
2×	`pow-prod-up_binary64_500` `associate-l/_binary64_636` `pow-sqr_binary64_607` `pow-prod-down_binary64_501` `associate-r/_binary64_635`
1×	`pow-plus_binary64_515` `pow2_binary64_511` `cbrt-unprod_binary64_543` `*-commutative_binary64_642` `prod-exp_binary64_525`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b)))))
6.0ms	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
6.0ms	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
6.0ms	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))

series868.0ms

Counts

4 → 12

Calls

4 calls:

345.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b)))) (cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b)))))
168.0ms	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
172.0ms	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
182.0ms	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))

simplify70.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5387	3289

prune358.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Merged error: 0b

Counts

102 → 6

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
0.5b	(cbrt.f64 (-.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
2.1b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (+.f64 (.f64 z t) (.f64 a b)) (+.f64 (.f64 z t) (.f64 a b))))
27.8b	(cbrt.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (+.f64 (.f64 z t) (.f64 a b)) (+.f64 (.f64 z t) (.f64 a b)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod_binary64_541`
7×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
6×	`cbrt-div_binary64_542` `add-log-exp_binary64_539`
4×	`pow1_binary64_520` `add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
3×	`pow1/3_binary64_512` `flip3--_binary64_573` `flip--_binary64_600`
2×	`associate--r+_binary64_629` `difference-of-squares_binary64_603`
1×	`flip3-+_binary64_572` `flip-+_binary64_599` `diff-log_binary64_490` `sub-neg_binary64_578` `distribute-lft-in_binary64_616` `distribute-rgt-in_binary64_617`

Counts

4 → 54

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
6.0ms	(cbrt.f64 (-.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
8.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (+.f64 (.f64 z t) (.f64 a b)) (+.f64 (.f64 z t) (.f64 a b))))
7.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (+.f64 (.f64 z t) (.f64 a b)) (+.f64 (.f64 z t) (.f64 a b)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
196.0ms	(cbrt.f64 (-.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))))
545.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (+.f64 (.f64 z t) (.f64 a b)) (+.f64 (.f64 z t) (.f64 a b))))
262.0ms	(cbrt.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (+.f64 (.f64 z t) (.f64 a b)) (+.f64 (.f64 z t) (.f64 a b)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5641	2297

prune242.0ms

Filtered

61 candidates to 66 candidates (-8.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	66	6	72

Merged error: 0b

Counts

72 → 6

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
1.5b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
4.5b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
34.4b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64_574`
15×	`add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559` `times-frac_binary64_569`
11×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
9×	`pow1_binary64_520`
8×	`sub-neg_binary64_578` `distribute-lft-in_binary64_616` `distribute-rgt-in_binary64_617` `add-log-exp_binary64_539`
5×	`sum-cubes_binary64_570` `associate-/l*_binary64_638` `distribute-lft-out_binary64_618`
4×	`associate-+r+_binary64_625` `flip3-+_binary64_572` `flip-+_binary64_599` `associate-*r/_binary64_635`
3×	`associate-l_binary64_634` `cbrt-unprod_binary64_543` `associate-/r*_binary64_637` `pow-prod-down_binary64_501` `prod-exp_binary64_525`
2×	`associate-/r/_binary64_639` `+-commutative_binary64_641` `associate-/l/_binary64_640` `sum-log_binary64_489`
1×	`flip3--_binary64_573` `div-inv_binary64_575` `div-exp_binary64_527` `frac-2neg_binary64_567` `clear-num_binary64_577` `flip--_binary64_600` `associate-r_binary64_633` `*-commutative_binary64_642` `cbrt-undiv_binary64_544`

Counts

4 → 91

Calls

4 calls:

9.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
8.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
8.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
16.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

series522.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
177.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
66.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
180.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

simplify74.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5769	4052

prune277.0ms

Filtered

73 candidates to 103 candidates (-41.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	103	6	109

Merged error: 0b

Counts

109 → 6

regimes1.6s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

340.0ms	8000×	body	80	valid
159.0ms	3968×	body	80	invalid

Details

analyze1.2s

sample44.0ms

simplify11.0ms

prune8.0ms

localize12.0ms

rewrite11.0ms

series108.0ms

simplify78.0ms

prune117.0ms

localize21.0ms

rewrite35.0ms

series868.0ms

simplify70.0ms

prune358.0ms

localize41.0ms

rewrite27.0ms

series1.2s

simplify77.0ms

prune242.0ms

localize36.0ms

rewrite44.0ms

series522.0ms

simplify74.0ms

prune277.0ms

regimes1.6s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling