Details

Time bar (total: 4.9s)

sample29.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
6.0ms268×body80nan

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2414
3524
4854
51064
61414
72154
82364
92364

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
10×add-sqr-sqrt
8×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*
1×sub-neg flip3-- diff-log pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 43
Calls
2 calls:
4.0ms
(- (* x (log y)) z)
4.0ms
(* x (log y))

series93.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(- (* x (log y)) z)
37.0ms
(* x (log y))

simplify55.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0171218
1516200
21464185
35001185

prune114.0ms

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)

rewrite27.0ms

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*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
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)

series552.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* x (log (cbrt y)))
102.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
177.0ms
(cbrt y)
182.0ms
(cbrt y)

simplify54.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0345729
11431634
25001547

prune363.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series723.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
183.0ms
(cbrt y)
181.0ms
(cbrt y)
182.0ms
(cbrt y)

simplify125.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
040156
181144
2193136
3696136
44103136
55002136

prune262.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
148×log-prod
142×distribute-rgt-in distribute-lft-in
117×unpow-prod-down
82×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
81×times-frac
68×associate-+l+
14×add-exp-log
12×associate-+r+
11×pow1
9×cbrt-prod add-cbrt-cube div-inv sqr-pow
6×add-log-exp
4×pow-exp
3×pow-unpow pow-pow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×div-exp
1×+-commutative pow-to-exp rec-exp pow-flip flip3-+ pow1/3 1-exp associate-*r* sum-log *-commutative flip-+ distribute-lft-out inv-pow
Counts
4 → 221
Calls
4 calls:
24.0ms
(* x (* 2 (log (pow (/ 1 y) -1/3))))
34.0ms
(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -1/3)

series642.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* x (* 2 (log (pow (/ 1 y) -1/3))))
188.0ms
(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* x (log (cbrt y))))
185.0ms
(cbrt y)
178.0ms
(pow (/ 1 y) -1/3)

simplify93.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
09832101
129001914
250021808

prune734.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes110.0ms

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

sample730.0ms

Algorithm
intervals
Results
234.0ms8026×body80valid
167.0ms8078×body80nan
0.0ms1×body640valid
0.0ms1×body160valid