Details

analyze571.0ms

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

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify208.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (205.0ms)

Iter	Nodes	Cost
0	5487	9

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: 8.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
7.9b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite18.0ms

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))

series29.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 x (-.f64 y z))
21.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

simplify40.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5975	485

prune64.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	5	60

Merged error: 0.0b

Counts

60 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
2.6b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

rewrite32.0ms

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:

8.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
12.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

series44.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
33.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5078	3157

prune159.0ms

Filtered

132 candidates to 200 candidates (-51.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	200	5	205

Merged error: 0b

Counts

205 → 5

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
2.7b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite48.0ms

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:

14.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
25.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

series38.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
28.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5024	1163

prune76.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
0.4b	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
7.9b	(/.f64 (-.f64 t z) (*.f64 x (-.f64 y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
31×	`add-exp-log_binary64`
27×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
12×	`associate-/r_binary64` `associate-r/_binary64`
11×	`associate-/r/_binary64`
8×	`associate-/l*_binary64`
7×	`flip3--_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`pow1_binary64` `div-inv_binary64`
5×	`associate-r_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

3 → 126

Calls

3 calls:

7.0ms	(*.f64 x (-.f64 y z))
12.0ms	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
9.0ms	(/.f64 (-.f64 t z) (*.f64 x (-.f64 y z)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 x (-.f64 y z))
34.0ms	(/.f64 1 (/.f64 (-.f64 t z) (*.f64 x (-.f64 y z))))
16.0ms	(/.f64 (-.f64 t z) (*.f64 x (-.f64 y z)))

simplify30.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5165	1527

prune78.0ms

Filtered

81 candidates to 135 candidates (-66.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	135	5	140

Merged error: 0b

Counts

140 → 5

regimes259.0ms

Accuracy

1.1% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch31.0ms

Steps

Iters	Range		Point
9	4.412396108691323e-72	2.9419240181520872e-64	1.482447504496303e-67
7	-2.37994947112763e-177	-1.1905347819160226e-178	-5.681489408324378e-178

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	37
1	34	37

end0.0ms

sample482.0ms

Algorithm

intervals

Results

247.0ms	8000×	body	80	valid
17.0ms	595×	body	80	invalid

Details

analyze571.0ms

sample19.0ms

simplify208.0ms

prune4.0ms

localize7.0ms

rewrite18.0ms

series29.0ms

simplify40.0ms

prune64.0ms

localize6.0ms

rewrite32.0ms

series44.0ms

simplify57.0ms

prune159.0ms

localize14.0ms

rewrite48.0ms

series38.0ms

simplify48.0ms

prune76.0ms

localize8.0ms

rewrite33.0ms

series58.0ms

simplify30.0ms

prune78.0ms

regimes259.0ms

bsearch31.0ms

simplify2.0ms

end0.0ms

sample482.0ms

Profiling