Details

analyze323.0ms

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

sample77.0ms

Algorithm

intervals

Results

15.0ms	53×	body	1280	invalid
11.0ms	34×	body	1280	valid
7.0ms	39×	body	640	valid
7.0ms	38×	body	640	invalid
7.0ms	147×	body	80	valid
5.0ms	17×	body	160	invalid
4.0ms	84×	body	80	invalid
3.0ms	24×	body	320	valid
2.0ms	17×	body	320	invalid
1.0ms	12×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

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: 0.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 (sinh.f64 y) y)
0.2b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`sinh-def_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-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh.f64 y)
4.0ms	(/.f64 (sinh.f64 y) y)
7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

series48.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh.f64 y)
13.0ms	(/.f64 (sinh.f64 y) y)
27.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

simplify61.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4927	621
1	4927	621

prune64.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0.2b

Counts

78 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
0.0b	(*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
0.2b	(sqrt.f64 (/.f64 (sinh.f64 y) y))
0.2b	(sqrt.f64 (/.f64 (sinh.f64 y) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod_binary64`
48×	`add-sqr-sqrt_binary64`
39×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
32×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`sqrt-div_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`unswap-sqr_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 118

Calls

4 calls:

15.0ms	(.f64 (.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
9.0ms	(*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
3.0ms	(sqrt.f64 (/.f64 (sinh.f64 y) y))
3.0ms	(sqrt.f64 (/.f64 (sinh.f64 y) y))

series170.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(.f64 (.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
62.0ms	(*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
26.0ms	(sqrt.f64 (/.f64 (sinh.f64 y) y))
26.0ms	(sqrt.f64 (/.f64 (sinh.f64 y) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5029	2160

prune111.0ms

Filtered

102 candidates to 130 candidates (-27.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	130	3	133

Merged error: 0.2b

Counts

133 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) y)
0.0b	(.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))
0.1b	(*.f64 1/120 (pow.f64 y 5))
0.1b	(*.f64 (pow.f64 y 3) 1/6)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
23×	`associate-r_binary64`
21×	`add-exp-log_binary64`
19×	`times-frac_binary64`
18×	`associate-l_binary64`
15×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
8×	`unpow-prod-down_binary64` `prod-exp_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `cube-prod_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 117

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) y)
13.0ms	(.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))
6.0ms	(*.f64 1/120 (pow.f64 y 5))
7.0ms	(*.f64 (pow.f64 y 3) 1/6)

series70.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (.f64 1/120 (pow.f64 y 5)))) y)
49.0ms	(.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 (pow.f64 y 3) 1/6) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))
6.0ms	(*.f64 1/120 (pow.f64 y 5))
5.0ms	(*.f64 (pow.f64 y 3) 1/6)

simplify39.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4964	1795
1	4964	1795

prune149.0ms

Filtered

94 candidates to 129 candidates (-37.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	129	3	132

Merged error: 0.2b

Counts

132 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/120 (pow.f64 y 5))
0.1b	(*.f64 1/6 (pow.f64 y 3))
0.3b	(log.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y)))
1.7b	(exp.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
19×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-l_binary64`
5×	`exp-prod_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64` `sqr-pow_binary64` `cube-prod_binary64`
3×	`rem-log-exp_binary64`
2×	`pow-to-exp_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `associate-r/_binary64` `log-div_binary64` `pow-exp_binary64` `-commutative_binary64`
1×	`rem-exp-log_binary64` `exp-diff_binary64` `exp-sum_binary64` `div-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 85

Calls

4 calls:

6.0ms	(*.f64 1/120 (pow.f64 y 5))
6.0ms	(*.f64 1/6 (pow.f64 y 3))
10.0ms	(log.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y)))
11.0ms	(exp.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))))

series125.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 1/120 (pow.f64 y 5))
5.0ms	(*.f64 1/6 (pow.f64 y 3))
60.0ms	(log.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y)))
51.0ms	(exp.f64 (log.f64 (.f64 (sin.f64 x) (/.f64 (+.f64 (.f64 1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5093	973

prune90.0ms

Filtered

62 candidates to 97 candidates (-56.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	97	3	100

Merged error: 0.2b

Counts

100 → 3

regimes164.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

493.0ms	1513×	body	1280	valid
423.0ms	1423×	body	1280	invalid
248.0ms	1261×	body	640	valid
244.0ms	1276×	body	640	invalid
206.0ms	4303×	body	80	valid
117.0ms	2403×	body	80	invalid
91.0ms	632×	body	320	invalid
85.0ms	610×	body	320	valid
29.0ms	313×	body	160	valid
28.0ms	298×	body	160	invalid

Details

analyze323.0ms

sample77.0ms

simplify45.0ms

prune3.0ms

localize6.0ms

rewrite15.0ms

series48.0ms

simplify61.0ms

prune64.0ms

localize9.0ms

rewrite34.0ms

series170.0ms

simplify63.0ms

prune111.0ms

localize13.0ms

rewrite42.0ms

series70.0ms

simplify39.0ms

prune149.0ms

localize15.0ms

rewrite35.0ms

series125.0ms

simplify50.0ms

prune90.0ms

regimes164.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.3s

Profiling