Details

analyze86.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

sample29.0ms

Algorithm

intervals

Results

9.0ms	44×	body	1024	valid
7.0ms	165×	body	128	valid
4.0ms	25×	body	512	valid
2.0ms	22×	body	256	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `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`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series139.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
49.0ms	(/.f64 (sin.f64 y) y)

simplify79.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4977	782
1	4977	782

prune53.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	9	66

Merged error: 0.0b

Counts

66 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 y (sin.f64 y))
0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`
27×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
10×	`div-inv_binary64`
9×	`div-exp_binary64`
7×	`cbrt-undiv_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`unswap-sqr_binary64` `prod-exp_binary64`
4×	`rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 172

Calls

3 calls:

4.0ms	(/.f64 y (sin.f64 y))
19.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/.f64 y (sin.f64 y))
93.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
38.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4990	2616
1	4990	2616

prune108.0ms

Filtered

123 candidates to 181 candidates (-47.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	181	9	190

Merged error: 0.0b

Counts

190 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 y (sin.f64 y))
0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/r/_binary64`

Counts

2 → 97

Calls

2 calls:

3.0ms	(/.f64 y (sin.f64 y))
6.0ms	(/.f64 x (/.f64 y (sin.f64 y)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/.f64 y (sin.f64 y))
92.0ms	(/.f64 x (/.f64 y (sin.f64 y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5879	1780

prune62.0ms

Filtered

83 candidates to 103 candidates (-24.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	103	9	112

Merged error: 0b

Counts

112 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series535.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
125.0ms	(cbrt.f64 (sin.f64 y))
123.0ms	(cbrt.f64 (sin.f64 y))
123.0ms	(cbrt.f64 (sin.f64 y))

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5045	797

prune45.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Merged error: 0b

Counts

94 → 9

regimes66.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	6	9

end0.0ms

sample866.0ms

Algorithm

intervals

Results

290.0ms	1256×	body	1024	valid
235.0ms	5404×	body	128	valid
119.0ms	844×	body	512	valid
46.0ms	491×	body	256	valid
2.0ms	5×	body	2048	valid

Details

analyze86.0ms

sample29.0ms

simplify8.0ms

prune1.0ms

localize6.0ms

rewrite15.0ms

series139.0ms

simplify79.0ms

prune53.0ms

localize7.0ms

rewrite45.0ms

series189.0ms

simplify95.0ms

prune108.0ms

localize5.0ms

rewrite18.0ms

series158.0ms

simplify92.0ms

prune62.0ms

localize9.0ms

rewrite17.0ms

series535.0ms

simplify62.0ms

prune45.0ms

regimes66.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample866.0ms

Profiling