Details

Time bar (total: 7.6s)

sample29.0ms

Algorithm
intervals
Results
9.0ms260×body80valid
6.0ms233×body80nan

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0216
1636
22126
37255
418825
532315
645745
750015

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (+ y 0.5) (log y)))
0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
26×add-sqr-sqrt
22×add-cube-cbrt
20×add-log-exp
18×prod-diff
12×log-prod
7×pow1 fma-neg distribute-lft-out
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
5×associate-+l+
4×expm1-log1p-u associate-*r* associate-*l* sum-log log1p-expm1-u
3×sub-neg fma-def
2×associate-+l- flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 117
Calls
4 calls:
4.0ms
(- x (* (+ y 0.5) (log y)))
11.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series354.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- x (* (+ y 0.5) (log y)))
50.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
41.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
226.0ms
(* (+ y 0.5) (log y))

simplify67.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05391002
12085847
25002829

prune253.0ms

Filtered
129 candidates to 92 candidates (71.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1236129
Fresh000
Picked011
Done000
Total1237130

Merged error: 0.0b

Counts
130 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×expm1-log1p-u associate-*r/ associate-*l* frac-add log1p-expm1-u
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative fma-def associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 117
Calls
4 calls:
9.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
12.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.6s

Counts
4 → 12
Calls
4 calls:
450.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
748.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
197.0ms
(cbrt y)
186.0ms
(cbrt y)

simplify79.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06811127
12712983
25001947

prune375.0ms

Filtered
129 candidates to 100 candidates (77.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1263129
Fresh145
Picked101
Done011
Total1288136

Merged error: 0.0b

Counts
136 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (pow y 1/3))))
0.3b
(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
57×distribute-rgt-in distribute-lft-in
56×log-prod
28×associate-+l+
27×unpow-prod-down
26×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
10×pow1 add-exp-log
9×add-cbrt-cube sqr-pow
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×expm1-log1p-u associate-*r/ associate-*l* frac-add log1p-expm1-u
3×cbrt-prod pow-unpow pow-prod-down prod-exp cbrt-unprod
2×associate-+r+
1×+-commutative pow-to-exp pow-pow fma-def unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative distribute-lft-out
Counts
4 → 132
Calls
4 calls:
13.0ms
(* (+ y 0.5) (* 2 (log (pow y 1/3))))
13.0ms
(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series1.8s

Counts
4 → 12
Calls
4 calls:
436.0ms
(* (+ y 0.5) (* 2 (log (pow y 1/3))))
1.0s
(+ (* (+ y 0.5) (* 2 (log (pow y 1/3)))) (* (log (cbrt y)) (+ y 0.5)))
168.0ms
(cbrt y)
165.0ms
(pow y 1/3)

simplify107.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08621217
13495998
25001982

prune405.0ms

Filtered
144 candidates to 106 candidates (73.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh066
Picked011
Done011
Total1448152

Merged error: 0.0b

Counts
152 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))
5.1b
(pow y 1/3)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt (cbrt y))
4.0ms
(cbrt (* (cbrt y) (cbrt y)))
2.0ms
(pow y 1/3)

series848.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
242.0ms
(cbrt (cbrt y))
257.0ms
(cbrt (* (cbrt y) (cbrt y)))
169.0ms
(pow y 1/3)

simplify57.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0171244
1497214
21760205
35001200

prune343.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done022
Total72880

Merged error: 0.0b

Counts
80 → 8

regimes185.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample838.0ms

Algorithm
intervals
Results
276.0ms8031×body80valid
221.0ms8012×body80nan
0.0ms1×body320valid