Details

analyze546.0ms

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

simplify245.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (238.0ms)

Iter	Nodes	Cost
0	5488	13

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: 10.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
9.8b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 y z))
10.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

series248.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(*.f64 x (-.f64 y z))
182.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

simplify53.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5432	720

prune45.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
1.6b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`div-sub_binary64`

Counts

2 → 194

Calls

2 calls:

12.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
14.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

series411.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
317.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5011	4887

prune110.0ms

Filtered

133 candidates to 200 candidates (-50.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	200	7	207

Merged error: 0b

Counts

207 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
1.7b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
16.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

series263.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
170.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5056	1767

prune54.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	108	7	115

Merged error: 0b

Counts

115 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 t z))
0.6b	(cbrt.f64 (-.f64 t z))
2.7b	(/.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z)))) (-.f64 y z)) (cbrt.f64 (-.f64 t z)))
6.6b	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z)))) (-.f64 y z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
20×	`cbrt-prod_binary64`
19×	`add-cbrt-cube_binary64`
18×	`cbrt-div_binary64`
15×	`associate-l_binary64`
13×	`flip3--_binary64` `add-cube-cbrt_binary64` `flip--_binary64`
12×	`times-frac_binary64`
10×	`associate-/r/_binary64`
8×	`associate-/r*_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `frac-times_binary64`
6×	`pow1_binary64` `associate-*r/_binary64`
5×	`associate-/l/_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
2×	`sub-neg_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

4 → 116

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 t z))
3.0ms	(cbrt.f64 (-.f64 t z))
23.0ms	(/.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z)))) (-.f64 y z)) (cbrt.f64 (-.f64 t z)))
22.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z)))) (-.f64 y z))

series1.1s

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt.f64 (-.f64 t z))
218.0ms	(cbrt.f64 (-.f64 t z))
328.0ms	(/.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z)))) (-.f64 y z)) (cbrt.f64 (-.f64 t z)))
345.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z)))) (-.f64 y z))

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5297	2812

prune84.0ms

Filtered

99 candidates to 128 candidates (-29.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	128	7	135

Merged error: 0b

Counts

135 → 7

regimes87.0ms

Accuracy

-2.4% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch39.0ms

Steps

Iters	Range		Point
8	6.296965801051566e-52	3.559537009384511e-49	1.081099186151696e-51
11	-7.024282770220315e-268	-1.810326270933834e-291	-2.4822864824141573e-288

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	43
1	55	43

end0.0ms

sample471.0ms

Algorithm

intervals

Results

243.0ms	8000×	body	128	valid
19.0ms	574×	body	128	invalid

Details

analyze546.0ms

sample16.0ms

simplify245.0ms

prune1.0ms

localize7.0ms

rewrite20.0ms

series248.0ms

simplify53.0ms

prune45.0ms

localize7.0ms

rewrite50.0ms

series411.0ms

simplify85.0ms

prune110.0ms

localize7.0ms

rewrite35.0ms

series263.0ms

simplify68.0ms

prune54.0ms

localize10.0ms

rewrite64.0ms

series1.1s

simplify56.0ms

prune84.0ms

regimes87.0ms

bsearch39.0ms

simplify3.0ms

end0.0ms

sample471.0ms

Profiling