Details

analyze396.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

sample40.0ms

Algorithm

intervals

Results

9.0ms	29×	body	1280	valid
8.0ms	170×	body	80	valid
6.0ms	32×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	12×	body	80	invalid
0.0ms	3×	body	320	invalid
0.0ms	2×	body	160	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

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: 3.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
3.0b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
6×	`associate-/r*_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `*-commutative_binary64`

Counts

3 → 83

Calls

3 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
6.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series134.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
19.0ms	(/.f64 (sin.f64 y) y)
71.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

simplify79.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5250	1158

prune67.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	10	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
0.1b	(/.f64 (sin.f64 y) y)
2.4b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
43×	`associate-r_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
10×	`div-inv_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 162

Calls

3 calls:

7.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
4.0ms	(/.f64 (sin.f64 y) y)
14.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

series136.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
24.0ms	(/.f64 (sin.f64 y) y)
73.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

simplify116.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4938	2931
1	4938	2931

prune108.0ms

Filtered

136 candidates to 171 candidates (-25.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	173	8	181

Merged error: 0b

Counts

181 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
2.4b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac_binary64`
238×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
60×	`associate-/r*_binary64`
23×	`div-inv_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`associate-/l*_binary64`
6×	`associate-/r/_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 293

Calls

3 calls:

6.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
12.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
20.0ms	(/.f64 (sin.f64 y) y)
83.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

simplify164.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4959	7392
1	4959	7392

prune188.0ms

Filtered

254 candidates to 302 candidates (-18.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	302	8	310

Merged error: 0b

Counts

310 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.9b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (cbrt.f64 x)))
1.6b	(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (cbrt.f64 x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac_binary64`
61×	`add-sqr-sqrt_binary64`
45×	`add-exp-log_binary64`
44×	`associate-l_binary64`
43×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
28×	`add-cbrt-cube_binary64`
21×	`cbrt-unprod_binary64` `prod-exp_binary64`
18×	`pow1_binary64`
12×	`cbrt-prod_binary64`
9×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
7×	`associate-r_binary64`
6×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
2×	`pow1/3_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-*r/_binary64`

Counts

4 → 124

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
15.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (cbrt.f64 x)))
14.0ms	(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (cbrt.f64 x))

series342.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 x)
84.0ms	(cbrt.f64 x)
80.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (cbrt.f64 x)))
91.0ms	(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (cbrt.f64 x))

simplify101.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5008	2004

prune81.0ms

Filtered

102 candidates to 136 candidates (-33.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	136	8	144

Merged error: 0b

Counts

144 → 8

regimes95.0ms

Accuracy

45.5% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.0b

bsearch22.0ms

Steps

Iters	Range		Point
7	-3.404700172948869e+77	-1.2774434397763577e+76	-1.3705496783332096e+76

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	33
1	19	33

end0.0ms

sample1.2s

Algorithm

intervals

Results

309.0ms	984×	body	1280	valid
260.0ms	5242×	body	80	valid
211.0ms	988×	body	640	valid
78.0ms	540×	body	320	valid
30.0ms	535×	body	80	invalid
26.0ms	246×	body	160	valid
10.0ms	50×	body	640	invalid
6.0ms	45×	body	320	invalid
3.0ms	34×	body	160	invalid
3.0ms	9×	body	1280	invalid

Details

analyze396.0ms

sample40.0ms

simplify13.0ms

prune1.0ms

localize7.0ms

rewrite20.0ms

series134.0ms

simplify79.0ms

prune67.0ms

localize7.0ms

rewrite34.0ms

series136.0ms

simplify116.0ms

prune108.0ms

localize7.0ms

rewrite41.0ms

series163.0ms

simplify164.0ms

prune188.0ms

localize11.0ms

rewrite38.0ms

series342.0ms

simplify101.0ms

prune81.0ms

regimes95.0ms

bsearch22.0ms

simplify3.0ms

end0.0ms

sample1.2s

Profiling