Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4770	8
1	4770	8

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series16.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
12.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify65.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4957	582
1	4957	582

prune49.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Merged error: 0b

Counts

57 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
0.0b	(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)))
0.0b	(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity_binary64` `times-frac_binary64`
62×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
54×	`cbrt-prod_binary64`
40×	`unpow-prod-down_binary64` `cube-prod_binary64`
17×	`distribute-lft-out_binary64` `cosh-undef_binary64`
16×	`associate-/r*_binary64`
10×	`add-exp-log_binary64`
8×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
7×	`add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `cube-div_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `associate-/l*_binary64` `div-exp_binary64`
2×	`pow-to-exp_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`cbrt-div_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 188

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10.0ms	(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
10.0ms	(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)))
6.0ms	(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)

series56.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
25.0ms	(/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
11.0ms	(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)))
16.0ms	(pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)

simplify40.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5310	2832

prune113.0ms

Filtered

99 candidates to 200 candidates (-102.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	200	3	203

Merged error: 0b

Counts

203 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.5b	(/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.5b	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.5b	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

118×	`times-frac_binary64`
116×	`add-sqr-sqrt_binary64`
105×	`*-un-lft-identity_binary64`
86×	`sqrt-prod_binary64`
69×	`add-cube-cbrt_binary64`
32×	`add-exp-log_binary64`
30×	`associate-r_binary64` `associate-l_binary64`
20×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`distribute-lft-out_binary64` `cosh-undef_binary64` `unswap-sqr_binary64`
11×	`div-exp_binary64`
10×	`sqrt-div_binary64`
9×	`pow1_binary64`
8×	`associate-/r/_binary64` `prod-exp_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `pow-flip_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `inv-pow_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 220

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
8.0ms	(/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
9.0ms	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
32.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
17.0ms	(/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
14.0ms	(/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
14.0ms	(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 2 (sqrt.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

simplify81.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4911	3057
1	4911	3057

prune134.0ms

Filtered

133 candidates to 232 candidates (-74.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	232	3	235

Merged error: 0b

Counts

235 → 3

regimes67.0ms

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	15	8
1	15	8

end0.0ms

sample315.0ms

Algorithm

intervals

Results

221.0ms

8000×

body

valid

Details

analyze1.0ms

sample13.0ms

simplify78.0ms

prune2.0ms

localize11.0ms

rewrite15.0ms

series16.0ms

simplify65.0ms

prune49.0ms

localize8.0ms

rewrite40.0ms

series56.0ms

simplify40.0ms

prune113.0ms

localize10.0ms

rewrite64.0ms

series53.0ms

simplify81.0ms

prune134.0ms

regimes67.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample315.0ms

Profiling