Details

analyze279.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	60.8%	3.3%	9
44.1%	48%	7.9%	10
54.8%	36.9%	8.3%	11
57.6%	31.5%	10.9%	12
61.9%	24%	14.1%	13
67.2%	18.6%	14.2%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	27×	body	80	invalid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

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: 3.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 1.0 (*.f64 (-.f64 1.0 y) z))
0.0b	(*.f64 (-.f64 1.0 y) z)
2.9b	(.f64 x (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
8×	`associate-l_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 55

Calls

3 calls:

3.0ms	(-.f64 1.0 (*.f64 (-.f64 1.0 y) z))
7.0ms	(*.f64 (-.f64 1.0 y) z)
6.0ms	(.f64 x (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(-.f64 1.0 (*.f64 (-.f64 1.0 y) z))
6.0ms	(*.f64 (-.f64 1.0 y) z)
13.0ms	(.f64 x (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4981	580
1	4981	580

prune82.0ms

Filtered

43 candidates to 64 candidates (-48.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	57	7	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	8	65

Merged error: 2.9b

Counts

65 → 8

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	0	0

prune18.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	1	1
Total	8	8

Merged error: 2.9b

Counts

8 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (sqrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
0.1b	(.f64 (.f64 x (sqrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))) (sqrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
1.2b	(sqrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
1.2b	(sqrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `sqrt-prod_binary64`
12×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

9.0ms	(.f64 x (sqrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
11.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))) (sqrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
3.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
3.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 x (sqrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
14.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z)))) (sqrt.f64 (-.f64 1.0 (.f64 (-.f64 1.0 y) z))))
18.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
18.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 (-.f64 1.0 y) z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4970	1372
1	4970	1372

prune113.0ms

Filtered

70 candidates to 95 candidates (-35.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	95	8	103

Merged error: 2.9b

Counts

103 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (*.f64 (-.f64 1.0 y) z) 3)
1.0b	(+.f64 (.f64 (.f64 (-.f64 1.0 y) z) (.f64 (-.f64 1.0 y) z)) (.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
2.4b	(.f64 x (-.f64 (pow.f64 1.0 3) (pow.f64 (.f64 (-.f64 1.0 y) z) 3)))
19.1b	(/.f64 (.f64 x (-.f64 (pow.f64 1.0 3) (pow.f64 (.f64 (-.f64 1.0 y) z) 3))) (+.f64 (.f64 1.0 1.0) (+.f64 (.f64 (.f64 (-.f64 1.0 y) z) (.f64 (-.f64 1.0 y) z)) (.f64 1.0 (.f64 (-.f64 1.0 y) z)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

46×	`associate-*l/_binary64`
24×	`associate-*r/_binary64`
23×	`flip3--_binary64` `flip--_binary64`
21×	`add-sqr-sqrt_binary64`
16×	`frac-add_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64` `frac-times_binary64`
7×	`sqr-pow_binary64`
6×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-l*_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `associate-/r/_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `difference-cubes_binary64` `distribute-rgt-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `unpow3_binary64` `sum-log_binary64` `-commutative_binary64` `cube-mult_binary64`

Counts

4 → 109

Calls

4 calls:

7.0ms	(pow.f64 (*.f64 (-.f64 1.0 y) z) 3)
17.0ms	(+.f64 (.f64 (.f64 (-.f64 1.0 y) z) (.f64 (-.f64 1.0 y) z)) (.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
15.0ms	(.f64 x (-.f64 (pow.f64 1.0 3) (pow.f64 (.f64 (-.f64 1.0 y) z) 3)))
27.0ms	(/.f64 (.f64 x (-.f64 (pow.f64 1.0 3) (pow.f64 (.f64 (-.f64 1.0 y) z) 3))) (+.f64 (.f64 1.0 1.0) (+.f64 (.f64 (.f64 (-.f64 1.0 y) z) (.f64 (-.f64 1.0 y) z)) (.f64 1.0 (.f64 (-.f64 1.0 y) z)))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(pow.f64 (*.f64 (-.f64 1.0 y) z) 3)
19.0ms	(+.f64 (.f64 (.f64 (-.f64 1.0 y) z) (.f64 (-.f64 1.0 y) z)) (.f64 1.0 (*.f64 (-.f64 1.0 y) z)))
64.0ms	(.f64 x (-.f64 (pow.f64 1.0 3) (pow.f64 (.f64 (-.f64 1.0 y) z) 3)))
170.0ms	(/.f64 (.f64 x (-.f64 (pow.f64 1.0 3) (pow.f64 (.f64 (-.f64 1.0 y) z) 3))) (+.f64 (.f64 1.0 1.0) (+.f64 (.f64 (.f64 (-.f64 1.0 y) z) (.f64 (-.f64 1.0 y) z)) (.f64 1.0 (.f64 (-.f64 1.0 y) z)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5481	2821

prune210.0ms

Filtered

88 candidates to 121 candidates (-37.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	3	4
Picked	1	0	1
Done	2	1	3
Total	123	6	129

Merged error: 0.0b

Counts

129 → 6

regimes539.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample425.0ms

Algorithm

intervals

Results

232.0ms	8000×	body	80	valid
20.0ms	727×	body	80	invalid

Details

analyze279.0ms

sample16.0ms

simplify39.0ms

prune3.0ms

localize6.0ms

rewrite18.0ms

series25.0ms

simplify47.0ms

prune82.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify6.0ms

prune18.0ms

localize9.0ms

rewrite28.0ms

series83.0ms

simplify57.0ms

prune113.0ms

localize16.0ms

rewrite71.0ms

series264.0ms

simplify53.0ms

prune210.0ms

regimes539.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample425.0ms

Profiling