Details

analyze4.0ms

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%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

sample56.0ms

Algorithm

intervals

Results

26.0ms	87×	body	1280	valid
16.0ms	90×	body	640	valid
6.0ms	47×	body	320	valid
1.0ms	19×	body	160	valid
0.0ms	13×	body	80	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5084	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: 57.7b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.1b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `sinh-undef_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 14

Calls

1 calls:

9.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4847	155
1	4847	155

prune23.0ms

Filtered

13 candidates to 17 candidates (-30.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 0b

Counts

18 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sinh.f64 x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `sinh-def_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh.f64 x)

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(sinh.f64 x)

simplify43.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5343	61

prune20.0ms

Filtered

10 candidates to 11 candidates (-10.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0b

Counts

15 → 4

localize10.0ms

Local error

Found 3 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 1/60 (pow.f64 x 5))
0.2b	(*.f64 1/3 (pow.f64 x 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
12×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64` `sum-log_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 70

Calls

3 calls:

13.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
5.0ms	(*.f64 1/60 (pow.f64 x 5))
6.0ms	(*.f64 1/3 (pow.f64 x 3))

series16.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 x x)))
5.0ms	(*.f64 1/60 (pow.f64 x 5))
4.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4882	719
1	4882	719

prune73.0ms

Filtered

49 candidates to 79 candidates (-61.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	79	4	83

Merged error: 0b

Counts

83 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) -2)
0.3b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0b	(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt_binary64`
84×	`difference-of-squares_binary64`
81×	`*-un-lft-identity_binary64`
80×	`times-frac_binary64`
55×	`unpow-prod-down_binary64`
51×	`sqr-pow_binary64`
33×	`add-cube-cbrt_binary64`
22×	`unpow2_binary64`
17×	`distribute-lft-out_binary64` `cosh-undef_binary64`
16×	`associate-/l*_binary64`
8×	`pow-pow_binary64`
7×	`distribute-lft-out--_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-prod_binary64`
5×	`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 → 183

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 x) 2)
4.0ms	(pow.f64 (exp.f64 x) -2)
17.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))

series45.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow.f64 (exp.f64 x) 2)
5.0ms	(pow.f64 (exp.f64 x) -2)
25.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
12.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))

simplify73.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4866	3118
1	4866	3118

prune117.0ms

Filtered

107 candidates to 195 candidates (-82.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	195	4	199

Merged error: 0b

Counts

199 → 4

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	6	6
1	6	6

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	3372×	body	1280	valid
473.0ms	2495×	body	640	valid
146.0ms	1235×	body	320	valid
46.0ms	624×	body	160	valid
10.0ms	274×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample56.0ms

simplify45.0ms

prune2.0ms

localize6.0ms

rewrite9.0ms

series5.0ms

simplify78.0ms

prune23.0ms

localize4.0ms

rewrite2.0ms

series9.0ms

simplify43.0ms

prune20.0ms

localize10.0ms

rewrite26.0ms

series16.0ms

simplify35.0ms

prune73.0ms

localize10.0ms

rewrite43.0ms

series45.0ms

simplify73.0ms

prune117.0ms

regimes52.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling