Details

analyze14.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

sample58.0ms

Algorithm

intervals

Results

28.0ms	89×	body	1280	valid
17.0ms	88×	body	640	valid
6.0ms	45×	body	320	valid
1.0ms	17×	body	160	valid
1.0ms	17×	body	80	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4835	13
1	4835	13

prune6.0ms

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: 57.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.8b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.5b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64` `times-frac_binary64`
16×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `cosh-undef_binary64`
7×	`add-log-exp_binary64` `sinh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `tanh-undef_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 86

Calls

3 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
11.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
13.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4863	1393
1	4863	1393

prune72.0ms

Filtered

68 candidates to 95 candidates (-39.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(tanh.f64 x)

simplify38.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	6007	79

prune15.0ms

Filtered

11 candidates to 13 candidates (-18.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(sinh.f64 x)
0.8b	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `cosh-undef_binary64`
2×	`flip3-+_binary64` `sinh-def_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-/l/_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 49

Calls

3 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0ms	(sinh.f64 x)
9.0ms	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series32.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms	(sinh.f64 x)
22.0ms	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify47.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4915	454
1	4915	454

prune44.0ms

Filtered

44 candidates to 58 candidates (-31.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (.f64 1/3 (pow.f64 x 3)))
0.0b	(*.f64 (pow.f64 x 5) 2/15)
0.2b	(*.f64 1/3 (pow.f64 x 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64` `unpow3_binary64` `associate--l+_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 69

Calls

3 calls:

6.0ms	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (.f64 1/3 (pow.f64 x 3)))
5.0ms	(*.f64 (pow.f64 x 5) 2/15)
7.0ms	(*.f64 1/3 (pow.f64 x 3))

series16.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (.f64 1/3 (pow.f64 x 3)))
5.0ms	(*.f64 (pow.f64 x 5) 2/15)
4.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify30.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4986	671
1	4986	671

prune68.0ms

Filtered

51 candidates to 78 candidates (-52.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Merged error: 0b

Counts

81 → 3

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	2	2
1	2	2

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	3293×	body	1280	valid
503.0ms	2466×	body	640	valid
152.0ms	1202×	body	320	valid
51.0ms	588×	body	160	valid
19.0ms	451×	body	80	valid
0.0ms	2×	body	80	overflowed

Details

analyze14.0ms

sample58.0ms

simplify53.0ms

prune6.0ms

localize7.0ms

rewrite24.0ms

series21.0ms

simplify51.0ms

prune72.0ms

localize2.0ms

rewrite1.0ms

series16.0ms

simplify38.0ms

prune15.0ms

localize8.0ms

rewrite16.0ms

series32.0ms

simplify47.0ms

prune44.0ms

localize8.0ms

rewrite20.0ms

series16.0ms

simplify30.0ms

prune68.0ms

regimes27.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling