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
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
12.2%	87.6%	0.2%	13
21.8%	77.8%	0.4%	14

sample30.0ms

Algorithm

intervals

Results

8.0ms	213×	body	80	valid
2.0ms	12×	body	1280	valid
2.0ms	12×	body	640	valid
2.0ms	39×	body	80	invalid
1.0ms	10×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	1×	body	2560	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4892	13
1	4892	13

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: 22.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t x))
2.4b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
14.6b	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
13×	`flip3--_binary64` `flip--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l/_binary64` `frac-times_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
4×	`associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64`
2×	`sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_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` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 79

Calls

3 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
9.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
13.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

series115.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
60.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z)))
45.0ms	(/.f64 (*.f64 (-.f64 y z) (-.f64 t x)) (-.f64 a z))

simplify44.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6037	1081

prune94.0ms

Filtered

67 candidates to 88 candidates (-31.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	76	12	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	12	89

Merged error: 3.7b

Counts

89 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
3.3b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
7.9b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac_binary64`
323×	`*-un-lft-identity_binary64`
321×	`add-sqr-sqrt_binary64`
113×	`add-cube-cbrt_binary64`
104×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
15×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `div-sub_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 274

Calls

3 calls:

8.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
44.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
16.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
80.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x))))
70.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) (-.f64 t x)))

simplify91.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5076	5455

prune124.0ms

Filtered

170 candidates to 283 candidates (-66.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	279	4	283
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	282	13	295

Merged error: 3.4b

Counts

295 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 t x))
0.2b	(*.f64 (-.f64 a z) (/.f64 1 (-.f64 t x)))
3.8b	(+.f64 x (/.f64 (-.f64 y z) (*.f64 (-.f64 a z) (/.f64 1 (-.f64 t x)))))
7.9b	(/.f64 (-.f64 y z) (*.f64 (-.f64 a z) (/.f64 1 (-.f64 t x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64`
49×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
32×	`add-exp-log_binary64`
26×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
20×	`add-cbrt-cube_binary64`
11×	`div-exp_binary64`
10×	`associate-/r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`prod-exp_binary64` `associate-/l*_binary64`
7×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64`
5×	`associate-l_binary64`
4×	`cbrt-unprod_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`1-exp_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `associate-*r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `un-div-inv_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 142

Calls

4 calls:

6.0ms	(/.f64 1 (-.f64 t x))
14.0ms	(*.f64 (-.f64 a z) (/.f64 1 (-.f64 t x)))
10.0ms	(+.f64 x (/.f64 (-.f64 y z) (*.f64 (-.f64 a z) (/.f64 1 (-.f64 t x)))))
15.0ms	(/.f64 (-.f64 y z) (*.f64 (-.f64 a z) (/.f64 1 (-.f64 t x))))

series142.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 1 (-.f64 t x))
14.0ms	(*.f64 (-.f64 a z) (/.f64 1 (-.f64 t x)))
56.0ms	(+.f64 x (/.f64 (-.f64 y z) (*.f64 (-.f64 a z) (/.f64 1 (-.f64 t x)))))
67.0ms	(/.f64 (-.f64 y z) (*.f64 (-.f64 a z) (/.f64 1 (-.f64 t x))))

simplify30.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5119	1561

prune84.0ms

Filtered

96 candidates to 154 candidates (-60.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	154	13	167

Merged error: 3.4b

Counts

167 → 13

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
2.9b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
7.7b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64`
73×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
27×	`add-cube-cbrt_binary64`
23×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `associate-l_binary64` `associate-/l_binary64` `flip--_binary64`
4×	`associate-/r/_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 119

Calls

3 calls:

8.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
18.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

series113.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
56.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
42.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5183	1602

prune39.0ms

Filtered

86 candidates to 128 candidates (-48.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	128	13	141

Merged error: 3.4b

Counts

141 → 13

regimes592.0ms

Accuracy

54.4% (4.9b remaining)

Error of 8.3b against oracle of 3.4b and baseline of 14.2b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	102	135
1	102	135

end0.0ms

sample810.0ms

Algorithm

intervals

Results

266.0ms	6634×	body	80	valid
71.0ms	471×	body	640	valid
57.0ms	1212×	body	80	invalid
54.0ms	276×	body	1280	valid
44.0ms	367×	body	320	valid
18.0ms	236×	body	160	valid
4.0ms	16×	body	2560	valid

Details

analyze1.3s

sample30.0ms

simplify68.0ms

prune3.0ms

localize9.0ms

rewrite35.0ms

series115.0ms

simplify44.0ms

prune94.0ms

localize9.0ms

rewrite87.0ms

series178.0ms

simplify91.0ms

prune124.0ms

localize12.0ms

rewrite50.0ms

series142.0ms

simplify30.0ms

prune84.0ms

localize8.0ms

rewrite36.0ms

series113.0ms

simplify48.0ms

prune39.0ms

regimes592.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample810.0ms

Profiling