Details

analyze526.0ms

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

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify195.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (193.0ms)

Iter	Nodes	Cost
0	5403	9

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: 1.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
1.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

rewrite29.0ms

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:

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

series37.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
26.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

simplify70.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5649	1183

prune70.0ms

Filtered

72 candidates to 108 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0b

Counts

109 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
0.8b	(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
0.9b	(.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64`
32×	`associate-l_binary64`
26×	`times-frac_binary64`
21×	`add-cbrt-cube_binary64`
19×	`add-cube-cbrt_binary64`
18×	`pow1_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`pow-prod-down_binary64` `cbrt-prod_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-*l/_binary64`
2×	`pow1/3_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt.f64 t)
2.0ms	(cbrt.f64 t)
18.0ms	(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
17.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 t)
15.0ms	(cbrt.f64 t)
30.0ms	(.f64 (.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (cbrt.f64 t))
67.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5000	1082

prune51.0ms

Filtered

75 candidates to 116 candidates (-54.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	116	7	123

Merged error: 0b

Counts

123 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (-.f64 z y))
9.0b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-l*_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_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` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 83

Calls

2 calls:

6.0ms	(/.f64 t (-.f64 z y))
16.0ms	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

series27.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5250	856

prune39.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	90	6	96

Merged error: 0b

Counts

96 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x y) t)
9.2b	(/.f64 (*.f64 (-.f64 x y) t) (-.f64 z y))

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-l*_binary64` `times-frac_binary64`
4×	`pow1_binary64` `associate-*l/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 51

Calls

2 calls:

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

series25.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify38.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5860	469

prune21.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	57	6	63

Merged error: 0b

Counts

63 → 6

regimes276.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample497.0ms

Algorithm

intervals

Results

251.0ms	8000×	body	80	valid
17.0ms	585×	body	80	invalid

Details

analyze526.0ms

sample19.0ms

simplify195.0ms

prune3.0ms

localize6.0ms

rewrite29.0ms

series37.0ms

simplify70.0ms

prune70.0ms

localize11.0ms

rewrite42.0ms

series127.0ms

simplify53.0ms

prune51.0ms

localize6.0ms

rewrite25.0ms

series27.0ms

simplify50.0ms

prune39.0ms

localize6.0ms

rewrite18.0ms

series25.0ms

simplify38.0ms

prune21.0ms

regimes276.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample497.0ms

Profiling