Details

Time bar (total: 4.5s)

sample25.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
5.0ms251×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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:
4.0ms
(- (* x (log y)) z)
4.0ms
(* x (log y))

series92.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* x (log y)) z)
41.0ms
(* x (log y))

simplify74.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0221261
1761224
22785207
35001203

prune107.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite23.0ms

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)))
13.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series541.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* x (log (cbrt y)))
98.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
172.0ms
(cbrt y)
176.0ms
(cbrt y)

simplify55.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0384753
11636640
25001570

prune407.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))))
0.2b
(* x (log (cbrt y)))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite8.0ms

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))))
5.0ms
(* x (log (cbrt y)))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series616.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
96.0ms
(* x (log (cbrt y)))
179.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify77.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0168411
1610367
22425343
35002333

prune255.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(cbrt (cbrt y))
0.6b
(cbrt (* (cbrt y) (cbrt y)))

rewrite8.0ms

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:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt (cbrt y))
5.0ms
(cbrt (* (cbrt y) (cbrt y)))

series867.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
185.0ms
(cbrt y)
241.0ms
(cbrt (cbrt y))
264.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify108.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 4 (104.0ms)

IterNodesCost
0112239
1242219
2759209
33150209
45002204

prune309.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes88.0ms

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
02217
12217

end0.0ms

sample741.0ms

Algorithm
intervals
Results
234.0ms8035×body80valid
172.0ms8157×body80nan
0.0ms1×body1280valid
0.0ms1×body320valid