Details

analyze1.0ms

Algorithm

Search

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

sample12.0ms

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	4772	8
1	4772	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 2.0 (+.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 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify86.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5322	597

prune53.0ms

Filtered

41 candidates to 56 candidates (-36.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	3	57

Merged error: 0b

Counts

57 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(*.f64 (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
0.0b	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity_binary64`
110×	`sqrt-prod_binary64`
108×	`times-frac_binary64`
96×	`add-sqr-sqrt_binary64`
68×	`add-cube-cbrt_binary64`
32×	`swap-sqr_binary64`
27×	`distribute-lft-out_binary64`
24×	`associate-r_binary64` `associate-l_binary64`
21×	`cosh-undef_binary64`
19×	`pow1_binary64`
12×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
8×	`pow1/2_binary64` `sqrt-pow1_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`pow-prod-up_binary64`
4×	`sqrt-div_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 204

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
30.0ms	(*.f64 (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
7.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
17.0ms	(*.f64 (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
10.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify69.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4916	2762
1	4916	2762

prune160.0ms

Filtered

136 candidates to 216 candidates (-58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	216	3	219

Merged error: 0b

Counts

219 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cbrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
0.0b	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

144×	`*-un-lft-identity_binary64`
123×	`times-frac_binary64`
108×	`cbrt-prod_binary64`
102×	`add-sqr-sqrt_binary64`
78×	`add-cube-cbrt_binary64`
30×	`swap-sqr_binary64` `distribute-lft-out_binary64`
24×	`associate-r_binary64` `cosh-undef_binary64` `associate-l_binary64`
15×	`associate-/r*_binary64`
14×	`associate-/r/_binary64`
12×	`add-exp-log_binary64`
11×	`pow1_binary64`
10×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64` `associate-/l*_binary64`
7×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`pow1/3_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 219

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
8.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(*.f64 (cbrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
10.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
14.0ms	(/.f64 2.0 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify80.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4931	3749
1	4931	3749

prune233.0ms

Filtered

163 candidates to 231 candidates (-41.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	231	3	234

Merged error: 0b

Counts

234 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (sqrt.f64 2.0) (cosh.f64 x))
0.5b	(*.f64 (/.f64 (sqrt.f64 2.0) 2) (/.f64 (sqrt.f64 2.0) (cosh.f64 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt_binary64`
66×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
36×	`sqrt-prod_binary64`
23×	`associate-r_binary64`
22×	`associate-l_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
6×	`associate-/l*_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/r*_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `associate-/r/_binary64` `cosh-def_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 114

Calls

2 calls:

5.0ms	(/.f64 (sqrt.f64 2.0) (cosh.f64 x))
17.0ms	(*.f64 (/.f64 (sqrt.f64 2.0) 2) (/.f64 (sqrt.f64 2.0) (cosh.f64 x)))

series43.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(/.f64 (sqrt.f64 2.0) (cosh.f64 x))
27.0ms	(*.f64 (/.f64 (sqrt.f64 2.0) 2) (/.f64 (sqrt.f64 2.0) (cosh.f64 x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4948	1204
1	4948	1204

prune94.0ms

Filtered

80 candidates to 120 candidates (-50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes71.0ms

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	17	19
1	17	19

end0.0ms

sample308.0ms

Algorithm

intervals

Results

220.0ms

8000×

body

valid

Details

analyze1.0ms

sample12.0ms

simplify78.0ms

prune6.0ms

localize6.0ms

rewrite13.0ms

series14.0ms

simplify86.0ms

prune53.0ms

localize9.0ms

rewrite60.0ms

series41.0ms

simplify69.0ms

prune160.0ms

localize10.0ms

rewrite57.0ms

series91.0ms

simplify80.0ms

prune233.0ms

localize6.0ms

rewrite27.0ms

series43.0ms

simplify68.0ms

prune94.0ms

regimes71.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample308.0ms

Profiling