Details

analyze634.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	59×	body	80	invalid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune3.0ms

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: 1.7b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
6.2b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
9.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series27.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
14.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5329	557

prune81.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
10.0b	(cbrt.f64 (/.f64 z t))
10.0b	(cbrt.f64 (/.f64 z t))
10.0b	(cbrt.f64 (/.f64 z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
29×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
15×	`cbrt-div_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `frac-times_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-*r/_binary64`
5×	`associate-l_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

14.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
3.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))

series95.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
14.0ms	(cbrt.f64 (/.f64 z t))
14.0ms	(cbrt.f64 (/.f64 z t))
15.0ms	(cbrt.f64 (/.f64 z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5117	1008

prune107.0ms

Filtered

84 candidates to 110 candidates (-31.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
2.0b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
10.0b	(cbrt.f64 (/.f64 z t))
10.0b	(cbrt.f64 (/.f64 z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
14×	`cbrt-div_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `frac-times_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-*r/_binary64`
5×	`associate-l_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64`
2×	`div-inv_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt.f64 z)
16.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
2.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))

series98.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 z)
49.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
13.0ms	(cbrt.f64 (/.f64 z t))
14.0ms	(cbrt.f64 (/.f64 z t))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4935	886
1	4935	886

prune100.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
0.0b	(*.f64 (-.f64 y x) z)
5.6b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
4×	`associate-*l/_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
7.0ms	(*.f64 (-.f64 y x) z)
7.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

series35.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
8.0ms	(*.f64 (-.f64 y x) z)
15.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5581	558

prune46.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	4	5
Picked	0	1	1
Done	1	2	3
Total	66	9	75

Merged error: 0b

Counts

75 → 9

regimes537.0ms

Accuracy

38.4% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.1b

bsearch33.0ms

Steps

Iters	Range		Point
9	6.335529884403005e+47	2.897286100535921e+56	2.0218493211776868e+54
9	-105863593096.80272	-21101.398573106468	-52557646.20646281

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	39
1	38	39

end0.0ms

sample551.0ms

Algorithm

intervals

Results

241.0ms	8000×	body	80	valid
65.0ms	2080×	body	80	invalid

Details

analyze634.0ms

sample20.0ms

simplify43.0ms

prune3.0ms

localize11.0ms

rewrite15.0ms

series27.0ms

simplify50.0ms

prune81.0ms

localize11.0ms

rewrite25.0ms

series95.0ms

simplify63.0ms

prune107.0ms

localize14.0ms

rewrite24.0ms

series98.0ms

simplify55.0ms

prune100.0ms

localize7.0ms

rewrite21.0ms

series35.0ms

simplify40.0ms

prune46.0ms

regimes537.0ms

bsearch33.0ms

simplify2.0ms

end0.0ms

sample551.0ms

Profiling