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

9.0ms	256×	body	80	valid
8.0ms	229×	body	80	invalid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5057	8

prune2.0ms

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: 8.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
8.0b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64` `times-frac_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `cosh-def_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `associate-l*_binary64`
2×	`add-log-exp_binary64` `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

2 → 60

Calls

2 calls:

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

series49.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
33.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5014	570

prune53.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	58	8	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	8	67

Merged error: 0.1b

Counts

67 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) y)
6.7b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

4.0ms	(*.f64 (cosh.f64 x) y)
7.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

series49.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(*.f64 (cosh.f64 x) y)
32.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

simplify52.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4996	371
1	4996	371

prune43.0ms

Filtered

32 candidates to 47 candidates (-46.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	41	6	47
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	45	10	55

Merged error: 0b

Counts

55 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) y)
0.7b	(/.f64 1 (/.f64 (.f64 x z) (.f64 (cosh.f64 x) y)))
6.6b	(/.f64 (.f64 x z) (.f64 (cosh.f64 x) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log_binary64`
35×	`add-cbrt-cube_binary64`
26×	`div-exp_binary64`
23×	`times-frac_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`prod-exp_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`cbrt-undiv_binary64`
9×	`cbrt-unprod_binary64`
7×	`associate-/r*_binary64`
6×	`pow1_binary64` `associate-/r/_binary64` `div-inv_binary64` `cosh-def_binary64` `associate-*l/_binary64`
5×	`1-exp_binary64` `rec-exp_binary64`
4×	`associate-/l*_binary64`
3×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

3 → 101

Calls

3 calls:

6.0ms	(*.f64 (cosh.f64 x) y)
11.0ms	(/.f64 1 (/.f64 (.f64 x z) (.f64 (cosh.f64 x) y)))
7.0ms	(/.f64 (.f64 x z) (.f64 (cosh.f64 x) y))

series83.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(*.f64 (cosh.f64 x) y)
36.0ms	(/.f64 1 (/.f64 (.f64 x z) (.f64 (cosh.f64 x) y)))
33.0ms	(/.f64 (.f64 x z) (.f64 (cosh.f64 x) y))

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4973	1113
1	4973	1113

prune50.0ms

Filtered

58 candidates to 110 candidates (-89.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	110	10	120

Merged error: 0b

Counts

120 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log_binary64`
31×	`add-cbrt-cube_binary64` `prod-exp_binary64`
13×	`pow1_binary64` `cbrt-unprod_binary64`
12×	`div-exp_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`associate-r_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `times-frac_binary64`
5×	`pow-prod-down_binary64`
4×	`associate-l_binary64` `associate-*l/_binary64`
3×	`add-log-exp_binary64` `associate-/l*_binary64` `cosh-def_binary64`
2×	`div-inv_binary64` `pow-flip_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `frac-times_binary64`

Counts

3 → 89

Calls

3 calls:

4.0ms	(*.f64 (cosh.f64 x) y)
5.0ms	(/.f64 1 (*.f64 x z))
13.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(*.f64 (cosh.f64 x) y)
3.0ms	(/.f64 1 (*.f64 x z))
28.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5170	696

prune28.0ms

Filtered

48 candidates to 98 candidates (-104.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	98	10	108

Merged error: 0b

Counts

108 → 10

regimes257.0ms

Accuracy

92.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.2b

bsearch49.0ms

Steps

Iters	Range		Point
8	2.1502495185942183e+66	1.842341070393718e+69	2.1824738903714276e+66
9	-2025045327.8453312	-17.48381940540461	-160614062.07336497

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	27
1	26	27

end0.0ms

sample854.0ms

Algorithm

intervals

Results

261.0ms	8000×	body	80	valid
251.0ms	7437×	body	80	invalid

Details

analyze364.0ms

sample31.0ms

simplify79.0ms

prune2.0ms

localize6.0ms

rewrite16.0ms

series49.0ms

simplify60.0ms

prune53.0ms

localize6.0ms

rewrite12.0ms

series49.0ms

simplify52.0ms

prune43.0ms

localize7.0ms

rewrite28.0ms

series83.0ms

simplify60.0ms

prune50.0ms

localize8.0ms

rewrite25.0ms

series49.0ms

simplify64.0ms

prune28.0ms

regimes257.0ms

bsearch49.0ms

simplify2.0ms

end0.0ms

sample854.0ms

Profiling