Details

analyze351.0ms

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	256×	body	80	valid
7.0ms	212×	body	80	invalid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (76.0ms)

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: 6.5b

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))
6.1b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite18.0ms

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)

series61.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(cosh.f64 x)
20.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
31.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4959	631
1	4959	631

prune86.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
5.0b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `pow1_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64` `cosh-def_binary64`
2×	`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

3 → 49

Calls

3 calls:

1.0ms	(cosh.f64 x)
6.0ms	(*.f64 (cosh.f64 x) y)
6.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

series54.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(cosh.f64 x)
16.0ms	(*.f64 (cosh.f64 x) y)
31.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

simplify48.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5005	432

prune57.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
0.3b	(/.f64 1 (*.f64 x z))
5.2b	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
31×	`prod-exp_binary64`
14×	`pow1_binary64`
13×	`cbrt-unprod_binary64`
12×	`add-sqr-sqrt_binary64` `div-exp_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `times-frac_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `cosh-def_binary64` `associate-*l/_binary64`
3×	`associate-/l*_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

4 → 97

Calls

4 calls:

3.0ms	(cosh.f64 x)
4.0ms	(*.f64 (cosh.f64 x) y)
5.0ms	(/.f64 1 (*.f64 x z))
11.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cosh.f64 x)
15.0ms	(*.f64 (cosh.f64 x) y)
3.0ms	(/.f64 1 (*.f64 x z))
31.0ms	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 x z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5065	757

prune77.0ms

Filtered

58 candidates to 109 candidates (-87.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Merged error: 0b

Counts

115 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.8b	(/.f64 (cosh.f64 x) (/.f64 x (/.f64 y z)))
5.6b	(/.f64 x (/.f64 y z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac_binary64`
230×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
57×	`associate-/r*_binary64`
22×	`div-inv_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
3×	`add-log-exp_binary64` `pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `cosh-def_binary64`
1×	`associate-/l/_binary64`

Counts

3 → 275

Calls

3 calls:

1.0ms	(cosh.f64 x)
13.0ms	(/.f64 (cosh.f64 x) (/.f64 x (/.f64 y z)))
6.0ms	(/.f64 x (/.f64 y z))

series50.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(cosh.f64 x)
36.0ms	(/.f64 (cosh.f64 x) (/.f64 x (/.f64 y z)))
7.0ms	(/.f64 x (/.f64 y z))

simplify92.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4955	4325
1	4955	4325

prune215.0ms

Filtered

241 candidates to 284 candidates (-17.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	282	2	284
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	285	7	292

Merged error: 0b

Counts

292 → 7

regimes302.0ms

Accuracy

82.6% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 7.2b

bsearch56.0ms

Steps

Iters	Range		Point
10	1.6541372332231588e-151	1.9279827980944672e-141	1.906593198200087e-141
8	-6.88802080396762e+15	-2601360549598.698	-48252226705934.2

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	27
1	26	27

end0.0ms

sample784.0ms

Algorithm

intervals

Results

251.0ms	8000×	body	80	valid
235.0ms	7168×	body	80	invalid

Details

analyze351.0ms

sample31.0ms

simplify79.0ms

prune3.0ms

localize6.0ms

rewrite18.0ms

series61.0ms

simplify54.0ms

prune86.0ms

localize6.0ms

rewrite15.0ms

series54.0ms

simplify48.0ms

prune57.0ms

localize7.0ms

rewrite27.0ms

series55.0ms

simplify52.0ms

prune77.0ms

localize6.0ms

rewrite39.0ms

series50.0ms

simplify92.0ms

prune215.0ms

regimes302.0ms

bsearch56.0ms

simplify2.0ms

end0.0ms

sample784.0ms

Profiling