Details

analyze352.0ms

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

sample28.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	190×	body	80	invalid

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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

series46.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
29.0ms	(/.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

prune85.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) y)
0.3b	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x))
7.1b	(/.f64 (.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x)) z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log_binary64`
35×	`add-cbrt-cube_binary64`
25×	`prod-exp_binary64`
17×	`div-exp_binary64`
16×	`associate-r_binary64` `add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`cbrt-unprod_binary64`
12×	`times-frac_binary64`
10×	`pow1_binary64`
9×	`cbrt-undiv_binary64`
7×	`associate-*l/_binary64`
5×	`cosh-def_binary64`
4×	`pow-prod-down_binary64` `associate-/l/_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
3×	`associate-/r*_binary64` `add-log-exp_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

3 → 94

Calls

3 calls:

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)

series63.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(*.f64 (cosh.f64 x) y)
17.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x))
31.0ms	(/.f64 (.f64 (.f64 (cosh.f64 x) y) (/.f64 1 x)) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4967	814
1	4967	814

prune87.0ms

Filtered

61 candidates to 103 candidates (-68.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	102	10	112

Merged error: 0.0b

Counts

112 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
0.7b	(/.f64 1 (/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x))))
7.1b	(/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 132

Calls

3 calls:

7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
9.0ms	(/.f64 1 (/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x))))
6.0ms	(/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x)))

series87.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
36.0ms	(/.f64 1 (/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x))))
33.0ms	(/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4992	1486
1	4992	1486

prune107.0ms

Filtered

90 candidates to 141 candidates (-56.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	144	7	151

Merged error: 0b

Counts

151 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

5.0ms	(/.f64 (*.f64 (cosh.f64 x) y) z)
4.0ms	(*.f64 (cosh.f64 x) y)
7.0ms	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)

series68.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/.f64 (*.f64 (cosh.f64 x) y) z)
14.0ms	(*.f64 (cosh.f64 x) y)
31.0ms	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4979	944
1	4979	944

prune68.0ms

Filtered

74 candidates to 98 candidates (-32.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	98	7	105

Merged error: 0b

Counts

105 → 7

regimes372.0ms

Accuracy

94.4% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.8b

bsearch44.0ms

Steps

Iters	Range		Point
8	707382654.9900676	4058989748061.7954	2133553679527.2883
8	-5.142983739830419e+59	-2.4817558327447346e+55	-2.550086247674752e+55

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	34
1	23	34

end0.0ms

sample835.0ms

Algorithm

intervals

Results

261.0ms	8000×	body	80	valid
246.0ms	7431×	body	80	invalid

Details

analyze352.0ms

sample28.0ms

simplify74.0ms

prune3.0ms

localize9.0ms

rewrite15.0ms

series46.0ms

simplify60.0ms

prune85.0ms

localize8.0ms

rewrite26.0ms

series63.0ms

simplify65.0ms

prune87.0ms

localize7.0ms

rewrite27.0ms

series87.0ms

simplify64.0ms

prune107.0ms

localize6.0ms

rewrite18.0ms

series68.0ms

simplify52.0ms

prune68.0ms

regimes372.0ms

bsearch44.0ms

simplify2.0ms

end0.0ms

sample835.0ms

Profiling