Details

analyze2.0ms

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

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4784	13
1	4784	13

prune1.0ms

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 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 37

Calls

1 calls:

7.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify94.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5253	739

prune29.0ms

Filtered

28 candidates to 40 candidates (-42.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	3	41

Merged error: 0b

Counts

41 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
0.0b	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 157

Calls

3 calls:

9.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
9.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series180.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
81.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
46.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify71.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5375	3351

prune74.0ms

Filtered

80 candidates to 166 candidates (-107.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	166	3	169

Merged error: 0b

Counts

169 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

141×	`*-un-lft-identity_binary64`
131×	`sqrt-prod_binary64`
124×	`times-frac_binary64`
108×	`add-sqr-sqrt_binary64`
77×	`add-cube-cbrt_binary64`
32×	`swap-sqr_binary64`
29×	`distribute-lft-out_binary64`
24×	`associate-r_binary64` `associate-l_binary64`
23×	`cosh-undef_binary64`
20×	`pow1_binary64`
14×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64`
7×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`associate-/l*_binary64`
5×	`pow-prod-up_binary64` `sqrt-div_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`cbrt-undiv_binary64` `rem-sqrt-square_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` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 224

Calls

4 calls:

7.0ms	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
27.0ms	(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
9.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series250.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
74.0ms	(*.f64 (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
46.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
49.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify119.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4971	5106
1	4971	5106

prune162.0ms

Filtered

149 candidates to 236 candidates (-58.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	236	3	239

Merged error: 0b

Counts

239 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64`
61×	`times-frac_binary64`
48×	`add-sqr-sqrt_binary64`
44×	`add-cube-cbrt_binary64`
24×	`associate-r_binary64`
23×	`pow1_binary64` `cbrt-prod_binary64`
15×	`associate-/r*_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `cosh-undef_binary64`
12×	`cbrt-div_binary64`
11×	`add-cbrt-cube_binary64`
9×	`pow-prod-up_binary64` `pow1/3_binary64` `associate-/l*_binary64`
8×	`associate-/r/_binary64`
6×	`pow-plus_binary64`
5×	`pow-prod-down_binary64` `frac-times_binary64` `associate-*l/_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-exp_binary64` `pow-sqr_binary64`
2×	`pow2_binary64`
1×	`associate-l_binary64` `pow3_binary64` `*-commutative_binary64`

Counts

4 → 172

Calls

4 calls:

28.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (cbrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
42.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
43.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
52.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify159.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4932	2994
1	4932	2994

prune160.0ms

Filtered

128 candidates to 184 candidates (-43.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	184	3	187

Merged error: 0b

Counts

187 → 3

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	18
1	19	18

end0.0ms

sample308.0ms

Algorithm

intervals

Results

222.0ms

8000×

body

valid

Details

analyze2.0ms

sample11.0ms

simplify116.0ms

prune1.0ms

localize6.0ms

rewrite8.0ms

series44.0ms

simplify94.0ms

prune29.0ms

localize8.0ms

rewrite34.0ms

series180.0ms

simplify71.0ms

prune74.0ms

localize8.0ms

rewrite61.0ms

series250.0ms

simplify119.0ms

prune162.0ms

localize9.0ms

rewrite55.0ms

series215.0ms

simplify159.0ms

prune160.0ms

regimes28.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample308.0ms

Profiling