Details

analyze1.0ms

Algorithm

Search

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

sample11.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4770	8
1	4770	8

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: 0.0b

Counts

2 → 1

localize6.0ms

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))))

rewrite13.0ms

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)))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series12.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
9.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify62.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	582
1	4957	582

prune28.0ms

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 3 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))))
0.2b	(log.f64 (exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64`
30×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`log-pow_binary64`
21×	`exp-prod_binary64`
8×	`distribute-lft-out_binary64` `cosh-undef_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `log-prod_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`div-inv_binary64`
1×	`cbrt-undiv_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 83

Calls

3 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(log.f64 (exp.f64 (/.f64 2 (+.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)))
9.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(log.f64 (exp.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4866	917
1	4866	917

prune39.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

95 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 1/2 (.f64 x x))
0.1b	(*.f64 5/24 (pow.f64 x 4))
12.6b	(-.f64 (+.f64 1 (.f64 5/24 (pow.f64 x 4))) (.f64 1/2 (*.f64 x x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
10×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64`
3×	`pow-prod-down_binary64`
2×	`diff-log_binary64` `sqr-pow_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `flip--_binary64` `pow-exp_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

3 → 57

Calls

3 calls:

6.0ms	(.f64 1/2 (.f64 x x))
6.0ms	(*.f64 5/24 (pow.f64 x 4))
7.0ms	(-.f64 (+.f64 1 (.f64 5/24 (pow.f64 x 4))) (.f64 1/2 (*.f64 x x)))

series13.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(.f64 1/2 (.f64 x x))
4.0ms	(*.f64 5/24 (pow.f64 x 4))
5.0ms	(-.f64 (+.f64 1 (.f64 5/24 (pow.f64 x 4))) (.f64 1/2 (*.f64 x x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5115	570

prune31.0ms

Filtered

40 candidates to 66 candidates (-65.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	66	3	69

Merged error: 0b

Counts

69 → 3

regimes45.0ms

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

sample312.0ms

Algorithm

intervals

Results

224.0ms

8000×

body

valid

Details

analyze1.0ms

sample11.0ms

simplify74.0ms

prune6.0ms

localize6.0ms

rewrite13.0ms

series12.0ms

simplify62.0ms

prune28.0ms

localize8.0ms

rewrite25.0ms

series21.0ms

simplify63.0ms

prune39.0ms

localize8.0ms

rewrite20.0ms

series13.0ms

simplify56.0ms

prune31.0ms

regimes45.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample312.0ms

Profiling