Details

analyze810.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

sample83.0ms

Algorithm

intervals

Results

36.0ms	47×	body	1280	valid
18.0ms	42×	body	640	valid
13.0ms	138×	body	80	valid
5.0ms	19×	body	320	valid
2.0ms	10×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	190	16
1	190	16

prune4.0ms

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: 15.1b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b

(*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5)))

0.3b

(*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5)))

14.9b

(/.f64 (*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5))) (sin.f64 x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

10.0ms

(*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5)))

7.0ms

(*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5)))

11.0ms

(/.f64 (*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5))) (sin.f64 x))

series30.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms

(*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5)))

8.0ms

(*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5)))

15.0ms

(/.f64 (*.f64 (*.f64 (/.f64 8.0 3.0) (sin.f64 (*.f64 x 0.5))) (sin.f64 (*.f64 x 0.5))) (sin.f64 x))

simplify79.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5013	1012

prune123.0ms

Filtered

63 candidates to 88 candidates (-39.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	78	10	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	10	89

Merged error: 0.1b

Counts

89 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (.f64 (/.f64 8.0 3.0) (sin.f64 (.f64 x 0.5))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
0.2b	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
0.3b	(.f64 (/.f64 8.0 3.0) (sin.f64 (.f64 x 0.5)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

13.0ms	(/.f64 (.f64 (/.f64 8.0 3.0) (sin.f64 (.f64 x 0.5))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
5.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
7.0ms	(.f64 (/.f64 8.0 3.0) (sin.f64 (.f64 x 0.5)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/.f64 (.f64 (/.f64 8.0 3.0) (sin.f64 (.f64 x 0.5))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
8.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
5.0ms	(.f64 (/.f64 8.0 3.0) (sin.f64 (.f64 x 0.5)))

simplify71.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5076	1580

prune152.0ms

Filtered

87 candidates to 119 candidates (-36.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	114	5	119
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	120	9	129

Merged error: 0.0b

Counts

129 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (.f64 8.0 (sin.f64 (.f64 x 0.5))) 3.0)
0.1b	(/.f64 (/.f64 (.f64 8.0 (sin.f64 (.f64 x 0.5))) 3.0) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
0.2b	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

217×	`times-frac_binary64`
97×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
31×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
25×	`div-inv_binary64`
19×	`associate-/r*_binary64`
16×	`cbrt-undiv_binary64` `div-exp_binary64`
11×	`associate-/l*_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `associate-/r/_binary64`

Counts

3 → 183

Calls

3 calls:

5.0ms	(/.f64 (.f64 8.0 (sin.f64 (.f64 x 0.5))) 3.0)
11.0ms	(/.f64 (/.f64 (.f64 8.0 (sin.f64 (.f64 x 0.5))) 3.0) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
5.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 (.f64 8.0 (sin.f64 (.f64 x 0.5))) 3.0)
15.0ms	(/.f64 (/.f64 (.f64 8.0 (sin.f64 (.f64 x 0.5))) 3.0) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5))))
8.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))

simplify78.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5238	4032

prune270.0ms

Filtered

155 candidates to 192 candidates (-23.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	190	2	192
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	192	9	201

Merged error: 0b

Counts

201 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (.f64 (sqrt.f64 (/.f64 8.0 3.0)) (.f64 (sin.f64 (.f64 x 0.5)) (sqrt.f64 (/.f64 8.0 3.0)))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 0.5))))
0.2b	(.f64 (sin.f64 (.f64 x 0.5)) (sqrt.f64 (/.f64 8.0 3.0)))
0.2b	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
0.3b	(.f64 (sqrt.f64 (/.f64 8.0 3.0)) (.f64 (sin.f64 (*.f64 x 0.5)) (sqrt.f64 (/.f64 8.0 3.0))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

59×	`times-frac_binary64`
50×	`add-sqr-sqrt_binary64`
43×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
28×	`sqrt-prod_binary64`
19×	`associate-l_binary64`
17×	`associate-r_binary64`
16×	`associate-/r*_binary64`
11×	`pow1_binary64`
10×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
9×	`sqrt-div_binary64`
7×	`associate-*r/_binary64`
6×	`div-inv_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-/l*_binary64`
3×	`associate-/l/_binary64` `unswap-sqr_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/r/_binary64`

Counts

4 → 148

Calls

4 calls:

17.0ms	(/.f64 (.f64 (sqrt.f64 (/.f64 8.0 3.0)) (.f64 (sin.f64 (.f64 x 0.5)) (sqrt.f64 (/.f64 8.0 3.0)))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 0.5))))
12.0ms	(.f64 (sin.f64 (.f64 x 0.5)) (sqrt.f64 (/.f64 8.0 3.0)))
5.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
13.0ms	(.f64 (sqrt.f64 (/.f64 8.0 3.0)) (.f64 (sin.f64 (*.f64 x 0.5)) (sqrt.f64 (/.f64 8.0 3.0))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/.f64 (.f64 (sqrt.f64 (/.f64 8.0 3.0)) (.f64 (sin.f64 (.f64 x 0.5)) (sqrt.f64 (/.f64 8.0 3.0)))) (/.f64 (sin.f64 x) (sin.f64 (.f64 x 0.5))))
7.0ms	(.f64 (sin.f64 (.f64 x 0.5)) (sqrt.f64 (/.f64 8.0 3.0)))
8.0ms	(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 0.5)))
10.0ms	(.f64 (sqrt.f64 (/.f64 8.0 3.0)) (.f64 (sin.f64 (*.f64 x 0.5)) (sqrt.f64 (/.f64 8.0 3.0))))

simplify67.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4994	2180
1	4994	2180

prune195.0ms

Filtered

121 candidates to 160 candidates (-32.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	160	9	169

Merged error: 0b

Counts

169 → 9

regimes45.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	1539×	body	1280	valid
515.0ms	1211×	body	640	valid
423.0ms	4323×	body	80	valid
186.0ms	614×	body	320	valid
63.0ms	313×	body	160	valid

Details

analyze810.0ms

sample83.0ms

simplify7.0ms

prune4.0ms

localize11.0ms

rewrite31.0ms

series30.0ms

simplify79.0ms

prune123.0ms

localize10.0ms

rewrite29.0ms

series27.0ms

simplify71.0ms

prune152.0ms

localize11.0ms

rewrite32.0ms

series28.0ms

simplify78.0ms

prune270.0ms

localize12.0ms

rewrite53.0ms

series47.0ms

simplify67.0ms

prune195.0ms

regimes45.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling