Details

analyze532.0ms

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
3.1%	96.7%	0.2%	8
19.9%	79.9%	0.2%	9
22.8%	77%	0.2%	10
35.1%	64.7%	0.2%	11
45%	54.8%	0.2%	12
53.8%	45.1%	1.2%	13
56.2%	42.4%	1.5%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify274.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (265.0ms)

Iter	Nodes	Cost
0	5405	13

prune1.0ms

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: 1.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
1.8b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-l_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-r_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` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

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

series155.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
108.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

simplify82.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5026	1792

prune94.0ms

Filtered

72 candidates to 108 candidates (-50.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Merged error: 0b

Counts

109 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.7b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 z y)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log_binary64`
39×	`add-cbrt-cube_binary64`
37×	`cbrt-unprod_binary64` `prod-exp_binary64`
18×	`cbrt-div_binary64`
17×	`cbrt-undiv_binary64` `div-exp_binary64`
15×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
9×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
8×	`add-cube-cbrt_binary64` `associate-/r/_binary64`
5×	`associate-*r/_binary64` `frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow1/3_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-*l/_binary64`
1×	`associate-r_binary64` `times-frac_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 102

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
5.0ms	(cbrt.f64 (-.f64 x y))
35.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 z y)))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 (-.f64 x y))
112.0ms	(cbrt.f64 (-.f64 x y))
113.0ms	(cbrt.f64 (-.f64 x y))
124.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))) (.f64 t (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 z y)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5323	1834

prune79.0ms

Filtered

74 candidates to 114 candidates (-54.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	114	8	122

Merged error: 0b

Counts

122 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
0.2b	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
1.8b	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac_binary64`
335×	`add-sqr-sqrt_binary64`
323×	`*-un-lft-identity_binary64`
157×	`add-cube-cbrt_binary64`
98×	`associate-l_binary64`
82×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
35×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`associate-/l*_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 326

Calls

3 calls:

8.0ms	(/.f64 (-.f64 z y) (-.f64 x y))
12.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
26.0ms	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)

series285.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/.f64 (-.f64 z y) (-.f64 x y))
97.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
148.0ms	(*.f64 (/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y))) t)

simplify100.0ms

Algorithm

egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5095	6673

prune170.0ms

Filtered

198 candidates to 335 candidates (-69.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	334	1	335
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	336	7	343

Merged error: 0b

Counts

343 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
1.8b	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))

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

series179.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/.f64 (-.f64 z y) (-.f64 x y))
133.0ms	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))

simplify102.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5010	4887

prune291.0ms

Filtered

134 candidates to 200 candidates (-49.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	200	7	207

Merged error: 0b

Counts

207 → 7

regimes57.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

end0.0ms

sample459.0ms

Algorithm

intervals

Results

235.0ms	8000×	body	80	valid
17.0ms	611×	body	80	invalid

Details

analyze532.0ms

sample21.0ms

simplify274.0ms

prune1.0ms

localize6.0ms

rewrite25.0ms

series155.0ms

simplify82.0ms

prune94.0ms

localize15.0ms

rewrite51.0ms

series468.0ms

simplify82.0ms

prune79.0ms

localize10.0ms

rewrite74.0ms

series285.0ms

simplify100.0ms

prune170.0ms

localize9.0ms

rewrite32.0ms

series179.0ms

simplify102.0ms

prune291.0ms

regimes57.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample459.0ms

Profiling