Details

analyze437.0ms

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

sample32.0ms

Algorithm

intervals

Results

9.0ms	263×	body	80	invalid
8.0ms	256×	body	80	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

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: 7.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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

series52.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cosh.f64 x)
17.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
29.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4959	631
1	4959	631

prune92.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	70	7	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	7	78

Merged error: 0.0b

Counts

78 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
4.6b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

rewrite13.0ms

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)
4.0ms	(*.f64 (cosh.f64 x) y)
6.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

series49.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cosh.f64 x)
16.0ms	(*.f64 (cosh.f64 x) y)
27.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 x z))

simplify45.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5005	432

prune68.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	57	8	65

Merged error: 0b

Counts

65 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.3b	(/.f64 (cosh.f64 x) (/.f64 x (/.f64 y z)))
5.4b	(/.f64 x (/.f64 y z))

rewrite40.0ms

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)
12.0ms	(/.f64 (cosh.f64 x) (/.f64 x (/.f64 y z)))
6.0ms	(/.f64 x (/.f64 y z))

series38.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(cosh.f64 x)
26.0ms	(/.f64 (cosh.f64 x) (/.f64 x (/.f64 y z)))
6.0ms	(/.f64 x (/.f64 y z))

simplify86.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4955	4325
1	4955	4325

prune227.0ms

Filtered

241 candidates to 284 candidates (-17.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	283	1	284
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	284	8	292

Merged error: 0b

Counts

292 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 y (cosh.f64 x))
0.3b	(/.f64 x (/.f64 1 z))
4.6b	(/.f64 (*.f64 y (cosh.f64 x)) (/.f64 x (/.f64 1 z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

251×	`times-frac_binary64`
120×	`add-sqr-sqrt_binary64`
118×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
57×	`associate-/r*_binary64`
50×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
28×	`div-exp_binary64`
15×	`cbrt-undiv_binary64`
14×	`div-inv_binary64`
6×	`pow1_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`associate-r_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64` `cosh-def_binary64`
2×	`associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 216

Calls

4 calls:

1.0ms	(cosh.f64 x)
4.0ms	(*.f64 y (cosh.f64 x))
6.0ms	(/.f64 x (/.f64 1 z))
14.0ms	(/.f64 (*.f64 y (cosh.f64 x)) (/.f64 x (/.f64 1 z)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cosh.f64 x)
12.0ms	(*.f64 y (cosh.f64 x))
3.0ms	(/.f64 x (/.f64 1 z))
26.0ms	(/.f64 (*.f64 y (cosh.f64 x)) (/.f64 x (/.f64 1 z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5104	2344

prune156.0ms

Filtered

148 candidates to 228 candidates (-54.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	228	8	236

Merged error: 0b

Counts

236 → 8

regimes281.0ms

Accuracy

93.8% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 7.3b

bsearch62.0ms

Steps

Iters	Range		Point
10	4.3357152589398164e-26	1.204549064050216e-13	2.990037073633152e-17
7	-9.036712335768178e+68	-1.1120455005970745e+67	-1.448772975614469e+67

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	32
1	20	32

end0.0ms

sample1.0s

Algorithm

intervals

Results

441.0ms	7367×	body	80	invalid
263.0ms	8000×	body	80	valid

Details

analyze437.0ms

sample32.0ms

simplify76.0ms

prune3.0ms

localize7.0ms

rewrite22.0ms

series52.0ms

simplify53.0ms

prune92.0ms

localize7.0ms

rewrite13.0ms

series49.0ms

simplify45.0ms

prune68.0ms

localize6.0ms

rewrite40.0ms

series38.0ms

simplify86.0ms

prune227.0ms

localize8.0ms

rewrite37.0ms

series47.0ms

simplify69.0ms

prune156.0ms

regimes281.0ms

bsearch62.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling