Details

analyze25.0ms

Algorithm

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

sample65.0ms

Algorithm

intervals

Results

24.0ms	50×	body	1280	valid
10.0ms	35×	body	640	valid
9.0ms	139×	body	80	valid
5.0ms	24×	body	320	valid
5.0ms	256×	pre	80	true
1.0ms	8×	body	160	valid

simplify527.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	25	17
1	25	17

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: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 e (cos.f64 v)))
0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (sin.f64 v))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

3.0ms	(+.f64 1 (*.f64 e (cos.f64 v)))
6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))
15.0ms	(*.f64 e (sin.f64 v))

series200.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+.f64 1 (*.f64 e (cos.f64 v)))
91.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
29.0ms	(*.f64 e (cos.f64 v))
47.0ms	(*.f64 e (sin.f64 v))

simplify88.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4957	1100
1	4957	1100

prune64.0ms

Filtered

59 candidates to 82 candidates (-39.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	6	83

Merged error: 0.0b

Counts

83 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 e (cos.f64 v)))
0.1b	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

4.0ms	(+.f64 1 (*.f64 e (cos.f64 v)))
6.0ms	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
7.0ms	(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+.f64 1 (*.f64 e (cos.f64 v)))
67.0ms	(/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))
29.0ms	(*.f64 e (cos.f64 v))
94.0ms	(/.f64 e (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))

simplify109.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4960	3402
1	4960	3402

prune118.0ms

Filtered

111 candidates to 140 candidates (-26.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	139	7	146

Merged error: 0.0b

Counts

146 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.3b	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
0.3b	(*.f64 (sin.f64 v) (sqrt.f64 e))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
12×	`associate-l_binary64`
10×	`associate-r_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`sqrt-prod_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `times-frac_binary64` `div-exp_binary64` `-commutative_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
4.0ms	(*.f64 e (cos.f64 v))
7.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
6.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

series247.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e))) (+.f64 1 (*.f64 e (cos.f64 v))))
31.0ms	(*.f64 e (cos.f64 v))
40.0ms	(.f64 (sqrt.f64 e) (.f64 (sin.f64 v) (sqrt.f64 e)))
54.0ms	(*.f64 (sin.f64 v) (sqrt.f64 e))

simplify98.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4963	1489
1	4963	1489

prune68.0ms

Filtered

69 candidates to 98 candidates (-42.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
0.5b	(cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
0.5b	(cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
0.5b	(.f64 (cbrt.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod_binary64`
81×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
57×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 144

Calls

4 calls:

4.0ms	(cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
4.0ms	(cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
16.0ms	(.f64 (cbrt.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))

series647.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
143.0ms	(cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
143.0ms	(cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v)))
223.0ms	(.f64 (cbrt.f64 (/.f64 (+.f64 1 (.f64 e (cos.f64 v))) (sin.f64 v))) (cbrt.f64 (/.f64 (+.f64 1 (*.f64 e (cos.f64 v))) (sin.f64 v))))

simplify147.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4882	5617
1	4882	5617

prune266.0ms

Filtered

127 candidates to 156 candidates (-22.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	155	8	163

Merged error: 0b

Counts

163 → 8

regimes65.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	15	17

end0.0ms

sample1.9s

Algorithm

intervals

Results

722.0ms	1472×	body	1280	valid
385.0ms	1270×	body	640	valid
288.0ms	4338×	body	80	valid
144.0ms	8000×	pre	80	true
127.0ms	623×	body	320	valid
43.0ms	297×	body	160	valid

Details

analyze25.0ms

sample65.0ms

simplify527.0ms

prune3.0ms

localize12.0ms

rewrite31.0ms

series200.0ms

simplify88.0ms

prune64.0ms

localize10.0ms

rewrite25.0ms

series220.0ms

simplify109.0ms

prune118.0ms

localize12.0ms

rewrite30.0ms

series247.0ms

simplify98.0ms

prune68.0ms

localize17.0ms

rewrite38.0ms

series647.0ms

simplify147.0ms

prune266.0ms

regimes65.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.9s

Profiling