Details

analyze839.0ms

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample28.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
4.0ms	76×	body	80	invalid

simplify263.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (260.0ms)

Iter	Nodes	Cost
0	4823	11
1	4823	11

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
0.4b	(/.f64 -1/3 z)
4.1b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
3.0ms	(/.f64 -1/3 z)
13.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+.f64 x (*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y))))
2.0ms	(/.f64 -1/3 z)
15.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4910	899
1	4910	899

prune76.0ms

Filtered

66 candidates to 90 candidates (-36.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))
0.4b	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
3.9b	(/.f64 (-.f64 y (/.f64 t y)) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt_binary64`
44×	`times-frac_binary64`
39×	`*-un-lft-identity_binary64`
25×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
14×	`difference-of-squares_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 94

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))
13.0ms	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
9.0ms	(/.f64 (-.f64 y (/.f64 t y)) z)

series36.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+.f64 x (*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z)))
10.0ms	(*.f64 -1/3 (/.f64 (-.f64 y (/.f64 t y)) z))
8.0ms	(/.f64 (-.f64 y (/.f64 t y)) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	6059	1216

prune65.0ms

Filtered

76 candidates to 103 candidates (-35.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	102	9	111

Merged error: 0.0b

Counts

111 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y))))
0.4b	(*.f64 -1/3 (/.f64 1 z))
4.1b	(.f64 (.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

5.0ms	(+.f64 x (.f64 (.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y))))
8.0ms	(*.f64 -1/3 (/.f64 1 z))
14.0ms	(.f64 (.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+.f64 x (.f64 (.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y))))
2.0ms	(*.f64 -1/3 (/.f64 1 z))
12.0ms	(.f64 (.f64 -1/3 (/.f64 1 z)) (-.f64 y (/.f64 t y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5169	850

prune61.0ms

Filtered

55 candidates to 93 candidates (-69.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	93	9	102

Merged error: 0.0b

Counts

102 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (/.f64 -1/3 z) y)
0.4b	(/.f64 -1/3 z)
0.4b	(/.f64 1/3 z)
7.3b	(*.f64 t (/.f64 (/.f64 1/3 z) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac_binary64`
78×	`add-sqr-sqrt_binary64`
64×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
46×	`associate-r_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-l_binary64`
8×	`pow1_binary64`
7×	`div-inv_binary64`
6×	`associate-/r_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `div-exp_binary64`
5×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`associate-r/_binary64` `associate-l/_binary64`

Counts

4 → 151

Calls

4 calls:

6.0ms	(*.f64 (/.f64 -1/3 z) y)
3.0ms	(/.f64 -1/3 z)
3.0ms	(/.f64 1/3 z)
14.0ms	(*.f64 t (/.f64 (/.f64 1/3 z) y))

series18.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 (/.f64 -1/3 z) y)
5.0ms	(/.f64 -1/3 z)
2.0ms	(/.f64 1/3 z)
7.0ms	(*.f64 t (/.f64 (/.f64 1/3 z) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4958	1202
1	4958	1202

prune101.0ms

Filtered

123 candidates to 163 candidates (-32.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	2	4	6
Picked	1	0	1
Done	0	2	2
Total	163	9	172

Merged error: 0b

Counts

172 → 9

regimes337.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	17
1	21	17

end0.0ms

sample852.0ms

Algorithm

intervals

Results

396.0ms	8000×	body	80	valid
150.0ms	2996×	body	80	invalid

Details

analyze839.0ms

sample28.0ms

simplify263.0ms

prune8.0ms

localize8.0ms

rewrite23.0ms

series36.0ms

simplify55.0ms

prune76.0ms

localize8.0ms

rewrite30.0ms

series36.0ms

simplify56.0ms

prune65.0ms

localize9.0ms

rewrite30.0ms

series36.0ms

simplify60.0ms

prune61.0ms

localize10.0ms

rewrite34.0ms

series18.0ms

simplify60.0ms

prune101.0ms

regimes337.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample852.0ms

Profiling