Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
24.9%	74.7%	0.4%	8
24.9%	74.7%	0.4%	9
24.9%	74.7%	0.4%	10
25.7%	73.9%	0.4%	11
25.7%	73.9%	0.4%	12
25.7%	73.9%	0.4%	13
25.7%	73.9%	0.4%	14

sample46.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5482	29

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))
0.0b	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
36×	`distribute-lft-out--_binary64`
28×	`add-cube-cbrt_binary64`
14×	`distribute-lft-out_binary64` `associate-/l*_binary64`
8×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
6×	`associate-/r*_binary64`
4×	`associate-/l/_binary64` `pow1_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 116

Calls

4 calls:

11.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))
15.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
12.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
11.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

series91.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)))
27.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
16.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
18.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)

simplify47.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5560	1778

prune88.0ms

Filtered

87 candidates to 128 candidates (-47.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	2	129

Merged error: 0.0b

Counts

129 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.2b	(*.f64 E.f64 (exp.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
36×	`distribute-lft-out--_binary64`
30×	`add-cube-cbrt_binary64`
14×	`associate-/l*_binary64`
13×	`distribute-lft-out_binary64`
10×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64`
4×	`associate-/l/_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `e-exp-1_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 123

Calls

4 calls:

13.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
13.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
13.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
14.0ms	(*.f64 E.f64 (exp.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 1 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)))
17.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
17.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
52.0ms	(*.f64 E.f64 (exp.f64 (exp.f64 (/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT))))

simplify48.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5014	1872

prune71.0ms

Filtered

89 candidates to 135 candidates (-51.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	135	2	137

Merged error: 0.0b

Counts

137 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1) 3))
0.0b	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
0.0b	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
0.0b	(pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1) 3)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

114×	`*-un-lft-identity_binary64`
50×	`add-sqr-sqrt_binary64`
42×	`times-frac_binary64`
36×	`distribute-lft-out--_binary64`
34×	`add-cube-cbrt_binary64`
16×	`distribute-lft-out_binary64`
14×	`associate-/l*_binary64` `cbrt-prod_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`unpow-prod-down_binary64` `difference-of-squares_binary64` `cube-prod_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64` `cube-div_binary64`
3×	`pow-unpow_binary64`
2×	`cbrt-div_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 144

Calls

4 calls:

17.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1) 3))
11.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
11.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
17.0ms	(pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1) 3)

series134.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1) 3))
16.0ms	(/.f64 (-.f64 (+.f64 (+.f64 Vef Ev) EAccept) mu) KbT)
18.0ms	(/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)
72.0ms	(pow.f64 (+.f64 (exp.f64 (/.f64 (-.f64 mu (-.f64 (-.f64 Ec Vef) EDonor)) KbT)) 1) 3)

simplify35.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5070	2366

prune80.0ms

Filtered

93 candidates to 156 candidates (-67.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	156	2	158

Merged error: 0.0b

Counts

158 → 2

regimes643.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	226	31
1	226	31

end0.0ms

sample1.2s

Algorithm

intervals

Results

742.0ms	8000×	body	80	valid
3.0ms	4×	body	5120	exit

Details

analyze1.6s

sample46.0ms

simplify56.0ms

prune12.0ms

localize21.0ms

rewrite54.0ms

series91.0ms

simplify47.0ms

prune88.0ms

localize24.0ms

rewrite60.0ms

series115.0ms

simplify48.0ms

prune71.0ms

localize25.0ms

rewrite67.0ms

series134.0ms

simplify35.0ms

prune80.0ms

regimes643.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample1.2s

Profiling