Details

Time bar (total: 4.1s)

sample64.0ms

Algorithm
intervals
Results
30.0ms107×body1280valid
14.0ms82×body640valid
6.0ms236×body80valid
4.0ms36×body320valid
1.0ms17×body160valid

simplify222.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61085
72675
813425
950015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 56.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.1b
(- (exp x) (exp (- x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
Counts
1 → 28
Calls
1 calls:
5.0ms
(- (exp x) (exp (- x)))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(- (exp x) (exp (- x)))

simplify114.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0158354
1416228
22421226
35002203

prune60.0ms

Filtered
31 candidates to 18 candidates (58.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New29231
Fresh000
Picked011
Done000
Total29332

Merged error: 0.0b

Counts
32 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 1/60 (pow x 5) (* 2 x))
0.0b
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma 1/60 (pow x 5) (* 2 x))
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(fma 1/60 (pow x 5) (* 2 x))
53.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify34.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
060148
1184130
21006130
35001130

prune66.0ms

Filtered
26 candidates to 20 candidates (76.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New25126
Fresh011
Picked011
Done011
Total25429

Merged error: 0.0b

Counts
29 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
0.0b
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
0.0b
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
0.3b
(* (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
1.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
7.0ms
(* (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

series215.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))))
53.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
55.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
56.0ms
(* (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))) (sqrt (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0180778
1703680
25001645

prune201.0ms

Filtered
98 candidates to 56 candidates (57.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh011
Picked011
Done022
Total984102

Merged error: 0.0b

Counts
102 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp x))
0.0b
(cbrt (exp x))
0.0b
(* (cbrt (exp x)) (cbrt (exp x)))
4.8b
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (exp (- x))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
11×pow1
8×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 78
Calls
4 calls:
2.0ms
(cbrt (exp x))
2.0ms
(cbrt (exp x))
6.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
1.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (exp (- x))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(cbrt (exp x))
74.0ms
(cbrt (exp x))
89.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
274.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (exp (- x))))

simplify83.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0178573
1536513
22613473
35002441

prune183.0ms

Filtered
90 candidates to 63 candidates (70.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New88290
Fresh000
Picked101
Done033
Total89594

Merged error: 0.0b

Counts
94 → 5

regimes72.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample1.9s

Algorithm
intervals
Results
949.0ms3397×body1280valid
412.0ms2453×body640valid
191.0ms7978×body80valid
126.0ms1244×body320valid
40.0ms639×body160valid