Details

analyze15.0ms

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

sample72.0ms

Algorithm

intervals

Results

35.0ms	107×	body	1280	valid
15.0ms	80×	body	640	valid
10.0ms	44×	body	320	valid
1.0ms	15×	body	160	valid
0.0ms	10×	body	80	valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5085	22

prune4.0ms

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: 59.4b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.2b	(-.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)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
69.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
21.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4960	1837
1	4960	1837

prune255.0ms

Filtered

69 candidates to 95 candidates (-37.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	2	96

Merged error: 0b

Counts

96 → 2

localize3.0ms

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)

series52.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(tanh.f64 x)

simplify61.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4968	124
1	4968	124

prune46.0ms

Filtered

11 candidates to 13 candidates (-18.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(tanh.f64 x)
38.1b	(cbrt.f64 (pow.f64 (tanh.f64 x) 3))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`cbrt-div_binary64` `cube-div_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `tanh-def-a_binary64` `tanh-def-b_binary64` `tanh-def-c_binary64`
1×	`rem-cbrt-cube_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

2 → 34

Calls

2 calls:

1.0ms	(tanh.f64 x)
3.0ms	(cbrt.f64 (pow.f64 (tanh.f64 x) 3))

series96.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(tanh.f64 x)
50.0ms	(cbrt.f64 (pow.f64 (tanh.f64 x) 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5041	393

prune84.0ms

Filtered

26 candidates to 40 candidates (-53.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	2	42

Merged error: 0b

Counts

42 → 2

regimes52.0ms

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	3	3
1	3	3

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	3295×	body	1280	valid
492.0ms	2442×	body	640	valid
151.0ms	1201×	body	320	valid
51.0ms	644×	body	160	valid
17.0ms	418×	body	80	valid
0.0ms	1×	body	80	overflowed

Details

analyze15.0ms

sample72.0ms

simplify61.0ms

prune4.0ms

localize11.0ms

rewrite24.0ms

series103.0ms

simplify85.0ms

prune255.0ms

localize3.0ms

rewrite1.0ms

series52.0ms

simplify61.0ms

prune46.0ms

localize14.0ms

rewrite5.0ms

series96.0ms

simplify38.0ms

prune84.0ms

regimes52.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling