Details

analyze344.0ms

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%	81.1%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	78%	0.1%	7
27.3%	61.6%	11.1%	8
28.5%	60.5%	11.1%	9
32.6%	53.4%	14%	10
40.2%	38.1%	21.7%	11
41.8%	35.8%	22.4%	12
44.5%	29.2%	26.3%	13
47.1%	21.3%	31.6%	14

sample29.0ms

Algorithm

intervals

Results

8.0ms	264×	body	80	invalid
8.0ms	256×	body	80	valid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4863	12
1	4863	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: 7.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
6.8b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
5×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `cosh-def_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `add-log-exp_binary64` `associate-l*_binary64`
2×	`associate-r/_binary64` `unswap-sqr_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

1.0ms	(cosh.f64 x)
7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series222.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(cosh.f64 x)
74.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
122.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify101.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4953	985
1	4953	985

prune53.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (/.f64 y x) (sqrt.f64 (cosh.f64 x)))
0.0b	(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 y x) (sqrt.f64 (cosh.f64 x))))
6.8b	(/.f64 (.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 y x) (sqrt.f64 (cosh.f64 x)))) z)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
27×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64` `cosh-def_binary64`
18×	`sqrt-div_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`times-frac_binary64`
12×	`cbrt-unprod_binary64` `prod-exp_binary64`
11×	`pow1_binary64` `associate-*r/_binary64` `frac-times_binary64`
8×	`sqrt-prod_binary64`
7×	`associate-/l/_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `associate-*l/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `unswap-sqr_binary64`
3×	`associate-/r*_binary64`
2×	`div-inv_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cosh.f64 x)
8.0ms	(*.f64 (/.f64 y x) (sqrt.f64 (cosh.f64 x)))
12.0ms	(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 y x) (sqrt.f64 (cosh.f64 x))))
19.0ms	(/.f64 (.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 y x) (sqrt.f64 (cosh.f64 x)))) z)

series331.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cosh.f64 x)
99.0ms	(*.f64 (/.f64 y x) (sqrt.f64 (cosh.f64 x)))
80.0ms	(.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 y x) (sqrt.f64 (cosh.f64 x))))
125.0ms	(/.f64 (.f64 (sqrt.f64 (cosh.f64 x)) (.f64 (/.f64 y x) (sqrt.f64 (cosh.f64 x)))) z)

simplify89.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4983	1740
1	4983	1740

prune71.0ms

Filtered

89 candidates to 121 candidates (-36.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	122	8	130

Merged error: 0.0b

Counts

130 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
6.8b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log_binary64`
29×	`add-cbrt-cube_binary64`
26×	`associate-r_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`prod-exp_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`cbrt-unprod_binary64`
11×	`div-exp_binary64`
10×	`pow1_binary64`
7×	`cosh-def_binary64`
6×	`cbrt-undiv_binary64` `frac-times_binary64` `associate-*l/_binary64`
4×	`pow-prod-down_binary64` `associate-r/_binary64` `associate-l*_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`un-div-inv_binary64`

Counts

3 → 92

Calls

3 calls:

1.0ms	(cosh.f64 x)
9.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
10.0ms	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

series221.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(cosh.f64 x)
73.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
121.0ms	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

simplify86.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4981	1363
1	4981	1363

prune54.0ms

Filtered

65 candidates to 101 candidates (-55.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
6.7b	(/.f64 (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) (.f64 2 x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`*-un-lft-identity_binary64` `times-frac_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`cbrt-undiv_binary64` `add-cube-cbrt_binary64` `div-exp_binary64`
8×	`associate-/l*_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
5×	`associate-r_binary64`
4×	`associate-/r_binary64` `associate-r/_binary64` `div-inv_binary64`
3×	`flip3-+_binary64` `associate-/l/_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`distribute-lft-out_binary64` `cosh-undef_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	(*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
8.0ms	(/.f64 (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
12.0ms	(/.f64 (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) (.f64 2 x))

series245.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
46.0ms	(*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
72.0ms	(/.f64 (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z)
111.0ms	(/.f64 (/.f64 (.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) z) (.f64 2 x))

simplify99.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4954	1782
1	4954	1782

prune61.0ms

Filtered

75 candidates to 110 candidates (-46.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	109	6	115

Merged error: 0b

Counts

115 → 6

regimes127.0ms

Accuracy

96.1% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 7.1b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	70
1	43	70

end0.0ms

sample791.0ms

Algorithm

intervals

Results

252.0ms	8000×	body	80	valid
231.0ms	7148×	body	80	invalid

Details

analyze344.0ms

sample29.0ms

simplify132.0ms

prune1.0ms

localize6.0ms

rewrite17.0ms

series222.0ms

simplify101.0ms

prune53.0ms

localize10.0ms

rewrite44.0ms

series331.0ms

simplify89.0ms

prune71.0ms

localize7.0ms

rewrite24.0ms

series221.0ms

simplify86.0ms

prune54.0ms

localize11.0ms

rewrite37.0ms

series245.0ms

simplify99.0ms

prune61.0ms

regimes127.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample791.0ms

Profiling