Details

analyze2.2s

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
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

sample42.0ms

Algorithm

intervals

Results

25.0ms	256×	body	128	valid
3.0ms	33×	body	128	invalid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4954	55
1	4954	55

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 33.5b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
0.1b	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
2.2b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
32.2b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `prod-exp_binary64` `associate-l/_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
8.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
18.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
34.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

series1.3s

Counts

4 → 12

Calls

4 calls:

70.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
71.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
320.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
885.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

simplify110.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4926	3162
1	4926	3162

prune219.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 0.5b

Counts

100 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)

0.0b

(+.f64 (*.f64 y 7049496828096731/2251799813685248) (*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))

0.3b

(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
11×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-r_binary64` `flip-+_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `frac-times_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

8.0ms

(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)

6.0ms

(+.f64 (*.f64 y 7049496828096731/2251799813685248) (*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))

14.0ms

(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))

series182.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms

(+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)

71.0ms

(+.f64 (*.f64 y 7049496828096731/2251799813685248) (*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)))

91.0ms

(*.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4971	1246
1	4971	1246

prune81.0ms

Filtered

52 candidates to 73 candidates (-40.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	71	11	82

Merged error: 0.5b

Counts

82 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248))) (cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (*.f64 y 7049496828096731/2251799813685248))))
12.8b	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
12.8b	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
12.8b	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

34.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248))) (cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (*.f64 y 7049496828096731/2251799813685248))))
14.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
13.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
13.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))

series1.3s

Counts

4 → 12

Calls

4 calls:

383.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248))) (cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (*.f64 y 7049496828096731/2251799813685248))))
300.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
286.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
298.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))

simplify117.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4971	3610
1	4971	3610

prune210.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	98	12	110

Merged error: 0.5b

Counts

110 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))) 5)
12.8b	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
12.8b	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
12.8b	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

16.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))) 5)
14.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
13.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
16.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))

series1.8s

Counts

4 → 12

Calls

4 calls:

936.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))) 5)
290.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
284.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))
300.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 y z) (+.f64 (/.f64 t z) -23151763167026757919721122556003/633825300114114700748351602688)) (.f64 y 7049496828096731/2251799813685248)))

simplify64.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4960	2496
1	4960	2496

prune175.0ms

Filtered

67 candidates to 75 candidates (-11.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	75	12	87

Merged error: 0.5b

Counts

87 → 12

regimes679.0ms

Accuracy

97.5% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 27.2b

bsearch89.0ms

Steps

Iters	Range		Point
11	192207738160456.1	1.511613426754877e+37	2.3971068713810006e+36
8	-1.0313681158144376e+44	-1.6150510263285768e+41	-9.197408578091303e+42

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	94
1	71	94

end0.0ms

sample1.1s

Algorithm

intervals

Results

683.0ms	8000×	body	128	valid
72.0ms	885×	body	128	invalid

Details

analyze2.2s

sample42.0ms

simplify94.0ms

prune4.0ms

localize25.0ms

rewrite86.0ms

series1.3s

simplify110.0ms

prune219.0ms

localize11.0ms

rewrite33.0ms

series182.0ms

simplify44.0ms

prune81.0ms

localize15.0ms

rewrite89.0ms

series1.3s

simplify117.0ms

prune210.0ms

localize18.0ms

rewrite69.0ms

series1.8s

simplify64.0ms

prune175.0ms

regimes679.0ms

bsearch89.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling