Details

analyze1.4s

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

sample26.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify239.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (236.0ms)

Iter	Nodes	Cost
0	5590	11

prune4.0ms

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: 1.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.8b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite32.0ms

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 z t) (-.f64 a t))
19.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series29.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
18.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5024	1163

prune129.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	99	9	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	9	109

Merged error: 0b

Counts

109 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 t (-.f64 a t))
0.0b	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
0.0b	(/.f64 z (-.f64 a t))
1.8b	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
80×	`add-sqr-sqrt_binary64`
66×	`times-frac_binary64`
32×	`distribute-lft-out--_binary64`
30×	`add-cube-cbrt_binary64`
20×	`difference-of-squares_binary64`
18×	`associate-r_binary64`
12×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `distribute-rgt-out--_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`associate-*r/_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `sub-div_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 141

Calls

4 calls:

6.0ms	(/.f64 t (-.f64 a t))
29.0ms	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
6.0ms	(/.f64 z (-.f64 a t))
32.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))

series57.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/.f64 t (-.f64 a t))
18.0ms	(-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t)))
8.0ms	(/.f64 z (-.f64 a t))
26.0ms	(*.f64 y (-.f64 (/.f64 z (-.f64 a t)) (/.f64 t (-.f64 a t))))

simplify67.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4913	1627
1	4913	1627

prune142.0ms

Filtered

113 candidates to 153 candidates (-35.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	154	8	162

Merged error: 0b

Counts

162 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
5.7b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
5.7b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
5.7b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`associate-r_binary64`
26×	`times-frac_binary64`
16×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
2×	`cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
9.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
9.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
59.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
58.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
61.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

simplify37.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5071	935

prune95.0ms

Filtered

70 candidates to 92 candidates (-31.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	92	8	100

Merged error: 0b

Counts

100 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.0b	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y))
1.0b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`associate-l_binary64`
30×	`add-exp-log_binary64`
27×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`
18×	`pow1_binary64` `add-cbrt-cube_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
11×	`cbrt-prod_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`pow-prod-down_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`pow1/3_binary64` `associate-/r/_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `associate-*r/_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
16.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y))
17.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y)))

series93.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)
39.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y))
22.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5037	1044

prune78.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Merged error: 0b

Counts

124 → 8

regimes651.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	15
1	32	15

end0.0ms

sample589.0ms

Algorithm

intervals

Results

290.0ms	7999×	body	80	valid
30.0ms	651×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze1.4s

sample26.0ms

simplify239.0ms

prune4.0ms

localize9.0ms

rewrite32.0ms

series29.0ms

simplify49.0ms

prune129.0ms

localize9.0ms

rewrite79.0ms

series57.0ms

simplify67.0ms

prune142.0ms

localize15.0ms

rewrite44.0ms

series195.0ms

simplify37.0ms

prune95.0ms

localize12.0ms

rewrite40.0ms

series93.0ms

simplify39.0ms

prune78.0ms

regimes651.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample589.0ms

Profiling