Details

Time bar (total: 4.7s)

sample29.0ms

Algorithm
intervals
Results
10.0ms257×body80valid
5.0ms243×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1294
2514
3654
4974
51204
61594
72574
83224
93224

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: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x (log y)) z)
0.3b
(* x (log y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in distribute-lft-in associate--l+
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube add-log-exp
3×associate-*l* prod-diff
2×expm1-log1p-u log1p-expm1-u
1×sub-neg flip3-- fma-neg diff-log pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 51
Calls
2 calls:
5.0ms
(- (* x (log y)) z)
7.0ms
(* x (log y))

series101.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (* x (log y)) z)
45.0ms
(* x (log y))

simplify75.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0221261
1761224
22785207
35001203

prune114.0ms

Filtered
57 candidates to 38 candidates (66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New52557
Fresh000
Picked011
Done000
Total52658

Merged error: 0.0b

Counts
58 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series528.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* x (log (cbrt y)))
96.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
172.0ms
(cbrt y)
169.0ms
(cbrt y)

simplify54.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0384753
11636640
25001570

prune400.0ms

Filtered
123 candidates to 101 candidates (82.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1203123
Fresh404
Picked101
Done011
Total1254129

Merged error: 0b

Counts
129 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
92×log-prod
65×unpow-prod-down
58×distribute-rgt-in distribute-lft-in
57×add-sqr-sqrt
55×add-cube-cbrt *-un-lft-identity
45×times-frac
34×associate-+r+
24×associate-+l+
15×cbrt-prod
11×add-exp-log
8×pow1
6×add-cbrt-cube add-log-exp
5×div-inv sqr-pow
4×expm1-log1p-u associate-*r* pow-exp log1p-expm1-u
3×pow-unpow pow-pow associate-*l*
2×div-exp
1×+-commutative pow-to-exp rec-exp pow-flip fma-def flip3-+ pow1/3 1-exp pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out inv-pow unswap-sqr
Counts
4 → 175
Calls
4 calls:
7.0ms
(* x (log (pow (/ 1 y) -1/3)))
13.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
1.0ms
(cbrt y)
5.0ms
(pow (/ 1 y) -1/3)

series593.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* x (log (pow (/ 1 y) -1/3)))
175.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
168.0ms
(cbrt y)
173.0ms
(pow (/ 1 y) -1/3)

simplify87.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07391434
130671255
250011107

prune526.0ms

Filtered
187 candidates to 128 candidates (68.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1870187
Fresh022
Picked011
Done011
Total1874191

Merged error: 0b

Counts
191 → 4

localize27.0ms

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)

series832.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
232.0ms
(cbrt (cbrt y))
260.0ms
(cbrt (* (cbrt y) (cbrt y)))
161.0ms
(pow y 1/3)

simplify53.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0171244
1497214
21760205
35001200

prune326.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh011
Picked011
Done022
Total72476

Merged error: 0b

Counts
76 → 4

regimes97.0ms

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
02311
12311

end0.0ms

sample734.0ms

Algorithm
intervals
Results
232.0ms8030×body80valid
172.0ms7988×body80nan
0.0ms1×body1280valid