Details

analyze1.2s

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
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

sample26.0ms

Algorithm

intervals

Results

8.0ms	224×	body	80	valid
2.0ms	9×	body	1280	valid
1.0ms	10×	body	640	valid
1.0ms	32×	body	80	invalid
1.0ms	8×	body	320	valid
0.0ms	5×	body	160	valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4893	13
1	4893	13

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 13.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 z t) y)
1.5b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
8.5b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `pow1_binary64` `associate-l*_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`
4×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate-*l/_binary64`
3×	`associate-r_binary64`
2×	`associate-/l/_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

7.0ms	(*.f64 (-.f64 z t) y)
11.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
10.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

series66.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 (-.f64 z t) y)
40.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
18.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

simplify42.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4992	863
1	4992	863

prune88.0ms

Filtered

57 candidates to 78 candidates (-36.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	68	10	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	10	79

Merged error: 2.1b

Counts

79 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (-.f64 a t))
2.2b	(-.f64 (+.f64 x y) (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
9.5b	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 106

Calls

3 calls:

6.0ms	(/.f64 y (-.f64 a t))
8.0ms	(-.f64 (+.f64 x y) (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
13.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))

series66.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 y (-.f64 a t))
41.0ms	(-.f64 (+.f64 x y) (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
17.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))

simplify34.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5325	1571

prune78.0ms

Filtered

84 candidates to 115 candidates (-36.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	113	12	125

Merged error: 2.1b

Counts

125 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 a t) y)
1.7b	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
9.9b	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
176×	`*-un-lft-identity_binary64`
87×	`add-cube-cbrt_binary64`
45×	`difference-of-squares_binary64`
44×	`distribute-lft-out--_binary64`
22×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`add-log-exp_binary64` `div-inv_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `flip3--_binary64` `div-sub_binary64` `flip--_binary64`
2×	`diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-sub_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `associate-/r/_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

3 → 196

Calls

3 calls:

6.0ms	(/.f64 (-.f64 a t) y)
34.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
12.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

series74.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 a t) y)
39.0ms	(-.f64 (+.f64 x y) (/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y)))
28.0ms	(/.f64 (-.f64 z t) (/.f64 (-.f64 a t) y))

simplify83.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5295	3307

prune96.0ms

Filtered

139 candidates to 205 candidates (-47.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	2	8	10
Picked	0	1	1
Done	1	0	1
Total	206	11	217

Merged error: 1.8b

Counts

217 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

7.1b	(cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
9.5b	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))
9.5b	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))
9.5b	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt_binary64`
63×	`associate-r_binary64`
58×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`associate-l_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`flip3--_binary64` `flip--_binary64`
10×	`pow1_binary64`
8×	`frac-times_binary64` `associate-*l/_binary64`
6×	`cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
5×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 152

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
14.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))
14.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))
14.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
17.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))
17.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))
21.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5400	1818

prune70.0ms

Filtered

121 candidates to 164 candidates (-35.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	164	11	175

Merged error: 1.8b

Counts

175 → 11

regimes395.0ms

Accuracy

36.7% (5.3b remaining)

Error of 8.6b against oracle of 3.3b and baseline of 11.6b

bsearch28.0ms

Steps

Iters	Range		Point
4	5.9919025250939655e-134	1.0645788158091977e-133	8.442089888717434e-134
7	-1.0383728917004599e-144	-4.08019746576544e-146	-8.425934768441706e-145

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	213	43
1	213	43

end0.0ms

sample734.0ms

Algorithm

intervals

Results

261.0ms	6645×	body	80	valid
59.0ms	434×	body	640	valid
48.0ms	399×	body	320	valid
45.0ms	247×	body	1280	valid
28.0ms	779×	body	80	invalid
18.0ms	257×	body	160	valid
4.0ms	18×	body	2560	valid

Details

analyze1.2s

sample26.0ms

simplify112.0ms

prune10.0ms

localize9.0ms

rewrite29.0ms

series66.0ms

simplify42.0ms

prune88.0ms

localize9.0ms

rewrite31.0ms

series66.0ms

simplify34.0ms

prune78.0ms

localize11.0ms

rewrite63.0ms

series74.0ms

simplify83.0ms

prune96.0ms

localize15.0ms

rewrite56.0ms

series160.0ms

simplify50.0ms

prune70.0ms

regimes395.0ms

bsearch28.0ms

simplify6.0ms

end0.0ms

sample734.0ms

Profiling