Details

Time bar (total: 4.1s)

sample112.0ms

Algorithm
intervals
Results
34.0ms586×body80valid
30.0ms613×body80nan

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0175
1335
2634
3954
41934
56804
621024
750014

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×log-prod
11×*-un-lft-identity
10×add-log-exp
9×add-cube-cbrt
6×pow1 distribute-rgt-in associate-+r+ distribute-lft-in
5×add-exp-log add-cbrt-cube
4×associate-*r*
3×associate-*l*
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ pow-prod-down prod-exp associate--l+ log-pow *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 58
Calls
3 calls:
5.0ms
(- (+ x (* y (log y))) z)
3.0ms
(+ x (* y (log y)))
4.0ms
(* y (log y))

series264.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (+ x (* y (log y))) z)
45.0ms
(+ x (* y (log y)))
182.0ms
(* y (log y))

simplify87.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0251340
1811318
22854297
35001291

prune144.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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
(* y (log (cbrt y)))
10.0ms
(+ (* y (* 2 (log (cbrt y)))) (* y (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
340.0ms
(* y (log (cbrt y)))
345.0ms
(+ (* y (* 2 (log (cbrt y)))) (* y (log (cbrt y))))
181.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify56.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0342729
11457634
25001547

prune384.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01811
11811

end0.0ms

sample1.9s

Algorithm
intervals
Results
642.0ms18991×body80valid
488.0ms18888×body80nan