Details

Time bar (total: 4.1s)

sample64.0ms

Algorithm
intervals
Results
29.0ms106×body1280valid
13.0ms82×body640valid
6.0ms268×body80valid
4.0ms41×body320valid
1.0ms18×body160valid

simplify221.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61085
72675
813425
950015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize9.0ms

Local error

Found 1 expressions with local error:

5.9b
(- (exp x) (exp (- x)))

rewrite8.0ms

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:
7.0ms
(- (exp x) (exp (- x)))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(- (exp x) (exp (- x)))

simplify113.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0158354
1416228
22421226
35002203

prune64.0ms

Filtered
31 candidates to 18 candidates (58.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite1.0ms

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

series182.0ms

Counts
2 → 6
Calls
2 calls:
126.0ms
(fma 1/60 (pow x 5) (* 2 x))
56.0ms
(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

prune72.0ms

Filtered
26 candidates to 20 candidates (76.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 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)))
0.0b
(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
38.6b
(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult unpow3 fma-udef sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 68
Calls
4 calls:
0.0ms
(fma 1/60 (pow x 5) (* 2 x))
0.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
1.0ms
(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
1.0ms
(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

series313.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(fma 1/60 (pow x 5) (* 2 x))
58.0ms
(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
79.0ms
(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
56.0ms
(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

simplify35.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0196604
1664564
25001556

prune182.0ms

Filtered
80 candidates to 48 candidates (60.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

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)))
5.6b
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (exp (- x))))

rewrite15.0ms

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:
1.0ms
(cbrt (exp x))
1.0ms
(cbrt (exp x))
10.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
0.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (exp (- x))))

series542.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(cbrt (exp x))
80.0ms
(cbrt (exp x))
96.0ms
(* (cbrt (exp x)) (cbrt (exp x)))
284.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (exp (- x))))

simplify85.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0178573
1536513
22613473
35002441

prune181.0ms

Filtered
90 candidates to 63 candidates (70.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes59.0ms

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
916.0ms3330×body1280valid
421.0ms2533×body640valid
178.0ms7902×body80valid
125.0ms1242×body320valid
37.0ms610×body160valid