Details

Time bar (total: 4.6s)

sample32.0ms

Algorithm
intervals
Results
8.0ms257×body80valid
6.0ms265×body80nan

simplify17.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (log y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
9.0ms
(* x (log y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(* x (log y))

simplify89.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
099121
1341105
292098
3307498
4500198

prune58.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite44.0ms

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:
13.0ms
(* x (log (cbrt y)))
25.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series516.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* x (log (cbrt y)))
92.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
169.0ms
(cbrt y)
168.0ms
(cbrt y)

simplify54.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0384753
11636640
25001570

prune407.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt (* (cbrt y) (cbrt y)))
0.6b
(cbrt (cbrt y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(cbrt (* (cbrt y) (cbrt y)))
1.0ms
(cbrt (cbrt y))

series830.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt y)
171.0ms
(cbrt y)
261.0ms
(cbrt (* (cbrt y) (cbrt y)))
229.0ms
(cbrt (cbrt y))

simplify105.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (101.0ms)

IterNodesCost
0112239
1242219
2759209
33150209
45001204

prune306.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
0.6b
(cbrt y)
5.0b
(pow y 1/3)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
28×log-prod
19×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
16×distribute-rgt-in distribute-lft-in
15×cbrt-prod
12×associate-+r+
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u associate-+l+ log1p-expm1-u
3×unpow-prod-down pow-unpow associate-*l*
2×pow1/3 log-pow
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ unpow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 98
Calls
4 calls:
10.0ms
(* x (log (cbrt y)))
28.0ms
(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)

series551.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* x (log (cbrt y)))
123.0ms
(+ (* x (* 2 (log (* 1 (pow y 1/3))))) (* x (log (cbrt y))))
172.0ms
(cbrt y)
170.0ms
(pow y 1/3)

simplify62.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0392650
11817532
25001496

prune364.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes102.0ms

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
084
184

end0.0ms

sample897.0ms

Algorithm
intervals
Results
242.0ms8031×body80valid
180.0ms8079×body80nan
1.0ms2×body1280valid