Details

analyze412.0ms

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

sample42.0ms

Algorithm

intervals

Results

9.0ms	30×	body	1280	valid
8.0ms	172×	body	80	valid
7.0ms	33×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	21×	body	80	invalid
1.0ms	9×	body	160	valid
1.0ms	3×	body	640	invalid
0.0ms	2×	body	320	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	67	8
1	67	8

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
1.2b	(/.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)
7.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series33.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)
17.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4952	739
1	4952	739

prune91.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))
1.2b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

10.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
8.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
10.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

series33.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
5.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
17.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5154	711

prune68.0ms

Filtered

55 candidates to 98 candidates (-78.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
1.4b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log_binary64`
31×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
28×	`times-frac_binary64`
26×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
22×	`prod-exp_binary64`
12×	`cbrt-unprod_binary64` `div-exp_binary64`
10×	`pow1_binary64`
7×	`cbrt-undiv_binary64`
4×	`pow-prod-down_binary64` `associate-r/_binary64` `associate-l*_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-/l_binary64` `div-inv_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

3 → 105

Calls

3 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
12.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

series32.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)
17.0ms	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

simplify50.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4979	943
1	4979	943

prune79.0ms

Filtered

71 candidates to 114 candidates (-60.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	115	6	121

Merged error: 0b

Counts

121 → 6

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)
3.1b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite39.0ms

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)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)
22.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5253	4565

prune206.0ms

Filtered

255 candidates to 302 candidates (-18.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	303	5	308

Merged error: 0b

Counts

308 → 5

regimes287.0ms

Accuracy

88.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch48.0ms

Steps

Iters	Range		Point
8	3.4568965976328e+47	2.2009666848875e+51	6.042680467160922e+47
8	-1.107798890216891e+34	-7.373448749666207e+29	-2.081333118342373e+32

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	27
1	24	27

end0.0ms

sample1.2s

Algorithm

intervals

Results

307.0ms	952×	body	1280	valid
274.0ms	5276×	body	80	valid
202.0ms	974×	body	640	valid
80.0ms	513×	body	320	valid
29.0ms	285×	body	160	valid
28.0ms	552×	body	80	invalid
12.0ms	57×	body	640	invalid
6.0ms	43×	body	320	invalid
4.0ms	36×	body	160	invalid
2.0ms	8×	body	1280	invalid

Details

analyze412.0ms

sample42.0ms

simplify6.0ms

prune3.0ms

localize8.0ms

rewrite20.0ms

series33.0ms

simplify58.0ms

prune91.0ms

localize8.0ms

rewrite31.0ms

series33.0ms

simplify58.0ms

prune68.0ms

localize8.0ms

rewrite27.0ms

series32.0ms

simplify50.0ms

prune79.0ms

localize7.0ms

rewrite39.0ms

series42.0ms

simplify75.0ms

prune206.0ms

regimes287.0ms

bsearch48.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling