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

sample69.0ms

Algorithm

intervals

Results

38.0ms	114×	body	1280	valid
19.0ms	76×	body	640	valid
3.0ms	24×	body	320	valid
2.0ms	23×	body	160	valid
1.0ms	19×	body	80	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4835	13
1	4835	13

prune2.0ms

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: 56.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

1.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.8b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64`
30×	`times-frac_binary64`
29×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
7×	`distribute-lft-out_binary64` `sinh-undef_binary64` `cosh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `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` `flip-+_binary64`

Counts

2 → 73

Calls

2 calls:

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)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/.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)))

simplify58.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	6048	1262

prune61.0ms

Filtered

56 candidates to 79 candidates (-41.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	3	80

Merged error: 0.0b

Counts

80 → 3

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite2.0ms

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)

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6007	79

prune16.0ms

Filtered

11 candidates to 13 candidates (-18.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
0.0b	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.1b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
16×	`add-exp-log_binary64`
15×	`times-frac_binary64`
13×	`add-log-exp_binary64`
10×	`add-cbrt-cube_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64` `sum-log_binary64`
5×	`associate-/r*_binary64`
4×	`pow1_binary64` `distribute-lft-out_binary64` `sqr-pow_binary64` `cosh-undef_binary64` `cube-prod_binary64`
3×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 109

Calls

4 calls:

12.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
18.0ms	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(*.f64 1/60 (pow.f64 x 5))
6.0ms	(*.f64 1/3 (pow.f64 x 3))

series38.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
17.0ms	(/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(*.f64 1/60 (pow.f64 x 5))
6.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify51.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4947	2016
1	4947	2016

prune121.0ms

Filtered

81 candidates to 121 candidates (-49.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Merged error: 0.0b

Counts

124 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) -2)
0.0b	(pow.f64 (exp.f64 x) -2)
0.5b	(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (+.f64 1 (pow.f64 (exp.f64 x) -2)))
5.7b	(-.f64 1 (pow.f64 (exp.f64 x) -2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
68×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
36×	`difference-of-squares_binary64`
26×	`add-cube-cbrt_binary64`
18×	`unpow-prod-down_binary64`
14×	`sqr-pow_binary64`
11×	`distribute-lft-out_binary64`
10×	`associate-/l*_binary64`
8×	`pow-pow_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `exp-prod_binary64`
4×	`associate-/r*_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 129

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 x) -2)
3.0ms	(pow.f64 (exp.f64 x) -2)
12.0ms	(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (+.f64 1 (pow.f64 (exp.f64 x) -2)))
6.0ms	(-.f64 1 (pow.f64 (exp.f64 x) -2))

series52.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow.f64 (exp.f64 x) -2)
7.0ms	(pow.f64 (exp.f64 x) -2)
31.0ms	(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (+.f64 1 (pow.f64 (exp.f64 x) -2)))
8.0ms	(-.f64 1 (pow.f64 (exp.f64 x) -2))

simplify43.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5078	1895

prune100.0ms

Filtered

83 candidates to 141 candidates (-69.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	141	3	144

Merged error: 0.0b

Counts

144 → 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	3287×	body	1280	valid
492.0ms	2385×	body	640	valid
162.0ms	1240×	body	320	valid
52.0ms	627×	body	160	valid
20.0ms	461×	body	80	valid
0.0ms	1×	body	80	overflowed

Details

analyze15.0ms

sample69.0ms

simplify55.0ms

prune2.0ms

localize7.0ms

rewrite19.0ms

series20.0ms

simplify58.0ms

prune61.0ms

localize2.0ms

rewrite2.0ms

series16.0ms

simplify39.0ms

prune16.0ms

localize17.0ms

rewrite45.0ms

series38.0ms

simplify51.0ms

prune121.0ms

localize7.0ms

rewrite30.0ms

series52.0ms

simplify43.0ms

prune100.0ms

regimes27.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling