Details

Time bar (total: 4.6s)

sample31.0ms

Algorithm
intervals
Results
7.0ms257×body80valid
5.0ms257×body80nan

simplify18.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log y)) z)
0.0b
(- (- (* x (log y)) z) y)
0.2b
(* x (log y))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×associate--l+
22×*-un-lft-identity
20×add-cube-cbrt
18×log-prod
15×prod-diff
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
6×pow1
5×add-exp-log add-cbrt-cube
4×fma-neg diff-log associate-*r*
3×expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
2×flip3-- flip--
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 92
Calls
3 calls:
12.0ms
(- (* x (log y)) z)
57.0ms
(- (- (* x (log y)) z) y)
9.0ms
(* x (log y))

series120.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* x (log y)) z)
29.0ms
(- (- (* x (log y)) z) y)
35.0ms
(* x (log y))

simplify45.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0365609
11312480
25001447

prune195.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite43.0ms

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:
10.0ms
(* x (log (cbrt y)))
28.0ms
(+ (* 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:
87.0ms
(* x (log (cbrt y)))
94.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
175.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify55.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0384753
11636640
25001570

prune398.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×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 → 58
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (cbrt y))

series830.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt y)
179.0ms
(cbrt y)
239.0ms
(cbrt (cbrt y))
236.0ms
(cbrt (cbrt y))

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
075246
1145230
2361222
31382222
45002222

prune334.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt log-prod *-un-lft-identity
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×log-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 70
Calls
4 calls:
0.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
10.0ms
(* x (log (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series596.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
86.0ms
(* x (log (cbrt y)))
179.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify78.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0168411
1610367
22425343
35002333

prune245.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes87.0ms

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

sample837.0ms

Algorithm
intervals
Results
229.0ms8027×body80valid
166.0ms7821×body80nan
0.0ms1×body1280valid
0.0ms1×body640valid