Details

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
99.7%	0%	0.3%	1

sample180.0ms

Algorithm

intervals

Results

79.0ms	64×	body	2560	valid
57.0ms	78×	body	1280	valid
15.0ms	31×	body	640	valid
7.0ms	59×	body	80	valid
5.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	771	27
1	771	27

prune9.0ms

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: 47.0b

Counts

2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

1.9b	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)
2.9b	(.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t)
35.0b	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t) 16.0))
36.4b	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-*l/_binary64`
6×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
2×	`flip3-+_binary64` `associate-l_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 54

Calls

4 calls:

10.0ms	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)
9.0ms	(.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t)
3.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t) 16.0))
3.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))

series49.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)
10.0ms	(.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t)
14.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 a 2.0) 1.0) b) t) 16.0))
14.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5202	710

prune215.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	45	21	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	21	67

Merged error: 41.6b

Counts

67 → 21

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) t) 16.0)))
0.2b	(/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0)
1.9b	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)
36.4b	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64` `add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`associate-*l/_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-l_binary64`
3×	`associate-/r*_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 70

Calls

4 calls:

4.0ms	(.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) t) 16.0)))
11.0ms	(/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0)
10.0ms	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)
3.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))

series75.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) t) 16.0)))
12.0ms	(/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0)
14.0ms	(.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t)
21.0ms	(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y 2.0) 1.0) z) t) 16.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4992	990
1	4992	990

prune269.0ms

Filtered

59 candidates to 82 candidates (-39.0%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	63	19	82
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	67	36	103

Merged error: 39.9b

Counts

103 → 36

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune161.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	35	35
Picked	1	1
Done	0	0
Total	36	36

Merged error: 39.9b

Counts

36 → 36

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 16.0)
1.0b	(cbrt.f64 16.0)
2.1b	(.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0)))
36.3b	(cos.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
28×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64`
21×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`cbrt-unprod_binary64` `prod-exp_binary64`
16×	`cbrt-prod_binary64`
13×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`pow1/3_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

1.0ms	(cbrt.f64 16.0)
1.0ms	(cbrt.f64 16.0)
19.0ms	(.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0)))
3.0ms	(cos.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0))))

series43.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt.f64 16.0)
0.0ms	(cbrt.f64 16.0)
23.0ms	(.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0)))
21.0ms	(cos.f64 (.f64 (/.f64 (.f64 (+.f64 (.f64 y 2.0) 1.0) z) (.f64 (cbrt.f64 16.0) (cbrt.f64 16.0))) (/.f64 t (cbrt.f64 16.0))))

simplify40.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4967	1302
1	4967	1302

prune127.0ms

Filtered

68 candidates to 99 candidates (-45.6%)

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	4	30	34
Picked	1	0	1
Done	0	1	1
Total	94	41	135

Merged error: 39.7b

Counts

135 → 41

regimes3.2s

Accuracy

0% (4.5b remaining)

Error of 43.9b against oracle of 39.5b and baseline of 43.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	1
1	5	1

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.3s	1817×	body	2560	valid
1.6s	2283×	body	1280	valid
547.0ms	1163×	body	640	valid
207.0ms	1933×	body	80	valid
174.0ms	515×	body	320	valid
95.0ms	35×	body	5120	valid
60.0ms	254×	body	160	valid

Details

analyze8.0ms

sample180.0ms

simplify19.0ms

prune9.0ms

localize28.0ms

rewrite26.0ms

series49.0ms

simplify39.0ms

prune215.0ms

localize13.0ms

rewrite30.0ms

series75.0ms

simplify42.0ms

prune269.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune161.0ms

localize19.0ms

rewrite28.0ms

series43.0ms

simplify40.0ms

prune127.0ms

regimes3.2s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.3s

Profiling