Details

analyze1.3s

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
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

sample28.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
4.0ms	77×	body	80	invalid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4726	13
1	4726	13

prune9.0ms

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64` `distribute-lft-out_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `frac-add_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

2 → 50

Calls

2 calls:

18.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
12.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)

series19.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
5.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)

simplify47.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5851	778

prune45.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t)))
0.0b	(.f64 (.f64 z 2) (-.f64 1 t))
0.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
10.6b	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-r_binary64`
4×	`sub-neg_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l*_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `div-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`associate-/r_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

4.0ms	(+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t)))
8.0ms	(.f64 (.f64 z 2) (-.f64 1 t))
15.0ms	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
7.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

series36.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t)))
6.0ms	(.f64 (.f64 z 2) (-.f64 1 t))
14.0ms	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
10.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

simplify44.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5761	1131

prune49.0ms

Filtered

63 candidates to 86 candidates (-36.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0.0b

Counts

89 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 2 (/.f64 2 z)))
0.0b	(sqrt.f64 (+.f64 2 (/.f64 2 z)))
0.3b	(/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t)
0.3b	(*.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
56×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
45×	`sqrt-prod_binary64`
38×	`add-cube-cbrt_binary64`
25×	`associate-r_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`distribute-lft-out_binary64` `sqrt-div_binary64`
8×	`pow1_binary64`
7×	`associate-l_binary64` `associate-/l*_binary64`
6×	`unswap-sqr_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 133

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 2 (/.f64 2 z)))
6.0ms	(sqrt.f64 (+.f64 2 (/.f64 2 z)))
9.0ms	(/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t)
21.0ms	(*.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t))

series26.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 2 (/.f64 2 z)))
4.0ms	(sqrt.f64 (+.f64 2 (/.f64 2 z)))
13.0ms	(/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t)
6.0ms	(*.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) (/.f64 (sqrt.f64 (+.f64 2 (/.f64 2 z))) t))

simplify60.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4910	1845
1	4910	1845

prune98.0ms

Filtered

93 candidates to 145 candidates (-55.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	145	3	148

Merged error: 0.0b

Counts

148 → 3

regimes313.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	13
1	15	13

end0.0ms

sample798.0ms

Algorithm

intervals

Results

396.0ms	8000×	body	80	valid
118.0ms	2378×	body	80	invalid

Details

analyze1.3s

sample28.0ms

simplify93.0ms

prune9.0ms

localize9.0ms

rewrite32.0ms

series19.0ms

simplify47.0ms

prune45.0ms

localize11.0ms

rewrite36.0ms

series36.0ms

simplify44.0ms

prune49.0ms

localize13.0ms

rewrite47.0ms

series26.0ms

simplify60.0ms

prune98.0ms

regimes313.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample798.0ms

Profiling