Details

analyze364.0ms

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

sample31.0ms

Algorithm

intervals

Results

8.0ms	258×	body	80	invalid
8.0ms	256×	body	80	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5057	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: 7.5b

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))
7.1b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite20.0ms

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

series57.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(cosh.f64 x)
18.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
32.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4959	631
1	4959	631

prune264.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.3b	(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 z (*.f64 x 2)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

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

series45.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y)
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
29.0ms	(/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) y) (.f64 z (*.f64 x 2)))

simplify54.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4957	679
1	4957	679

prune68.0ms

Filtered

46 candidates to 71 candidates (-54.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.4b	(*.f64 y (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.4b	(.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
6.3b	(/.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 z (.f64 x 2)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
28×	`sqrt-div_binary64`
22×	`cbrt-unprod_binary64` `prod-exp_binary64`
18×	`associate-*r/_binary64`
16×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`flip3-+_binary64` `flip-+_binary64`
12×	`pow1_binary64`
11×	`associate-l_binary64`
10×	`add-cube-cbrt_binary64`
9×	`associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
8×	`associate-/l/_binary64` `frac-times_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-*l/_binary64`
3×	`distribute-lft-out_binary64` `cosh-undef_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 113

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(*.f64 y (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
15.0ms	(.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
23.0ms	(/.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 z (.f64 x 2)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
20.0ms	(*.f64 y (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
13.0ms	(.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
27.0ms	(/.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 z (.f64 x 2)))

simplify38.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4963	1620
1	4963	1620

prune101.0ms

Filtered

79 candidates to 125 candidates (-58.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	126	6	132

Merged error: 0b

Counts

132 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
0.2b	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x))
7.1b	(/.f64 (.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x)) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-exp-log_binary64`
36×	`add-cbrt-cube_binary64`
25×	`prod-exp_binary64`
17×	`add-sqr-sqrt_binary64` `div-exp_binary64`
16×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`cbrt-unprod_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64`
9×	`cbrt-undiv_binary64`
7×	`associate-*l/_binary64`
6×	`cosh-def_binary64`
4×	`pow-prod-down_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
3×	`associate-/r*_binary64`
2×	`associate-r/_binary64` `un-div-inv_binary64` `div-inv_binary64` `frac-times_binary64` `-commutative_binary64`
1×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64`

Counts

4 → 102

Calls

4 calls:

1.0ms	(cosh.f64 x)
4.0ms	(*.f64 (cosh.f64 x) y)
8.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x))
10.0ms	(/.f64 (.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x)) z)

series75.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cosh.f64 x)
16.0ms	(*.f64 (cosh.f64 x) y)
19.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x))
34.0ms	(/.f64 (.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x)) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4967	875
1	4967	875

prune69.0ms

Filtered

72 candidates to 114 candidates (-58.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Merged error: 0b

Counts

120 → 6

regimes297.0ms

Accuracy

94.9% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 7.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	43
1	39	43

end0.0ms

sample824.0ms

Algorithm

intervals

Results

255.0ms	7606×	body	80	invalid
249.0ms	8000×	body	80	valid

Details

analyze364.0ms

sample31.0ms

simplify74.0ms

prune3.0ms

localize6.0ms

rewrite20.0ms

series57.0ms

simplify49.0ms

prune264.0ms

localize10.0ms

rewrite26.0ms

series45.0ms

simplify54.0ms

prune68.0ms

localize15.0ms

rewrite57.0ms

series67.0ms

simplify38.0ms

prune101.0ms

localize8.0ms

rewrite27.0ms

series75.0ms

simplify61.0ms

prune69.0ms

regimes297.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample824.0ms

Profiling