Details

Time bar (total: 5.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms286×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1214
2254
3284
4294
5294

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ (* x y) 2.0) (/ z 8.0))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
875×times-frac
784×add-sqr-sqrt
671×*-un-lft-identity
661×add-cube-cbrt
520×prod-diff
162×frac-sub associate-/l*
154×associate-*l*
153×associate-*r*
81×associate-/r*
54×div-inv
53×unswap-sqr
51×*-commutative
40×fma-neg
27×frac-2neg clear-num
6×difference-of-squares
3×distribute-lft-out-- add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 745
Calls
1 calls:
58.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify191.0ms

Algorithm
egg-herbie
Counts
748 → 748
Iterations

Useful iterations: 1 (57.0ms)

IterNodesCost
0309516479
1500114846

prune1.2s

Filtered
748 candidates to 394 candidates (52.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New7471748
Fresh000
Picked101
Done000
Total7481749

Merged error: 0b

Counts
749 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ z (cbrt 8.0)) (/ 1 (* (cbrt 8.0) (cbrt 8.0))))
0.0b
(* (/ z (cbrt 8.0)) (/ 1 (* (cbrt 8.0) (cbrt 8.0))))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
1264×add-sqr-sqrt
1110×associate-/r*
844×cbrt-prod
792×frac-times
658×*-un-lft-identity
602×add-cube-cbrt
382×times-frac
362×associate-*r*
290×unswap-sqr
284×associate-/l*
236×associate-*l*
216×swap-sqr
116×add-cbrt-cube
96×clear-num
94×frac-2neg
92×add-exp-log
66×associate-*r/
60×cbrt-unprod
54×cbrt-undiv
46×*-commutative
40×prod-exp
30×div-exp
24×associate-*l/
8×rec-exp 1-exp
6×pow1 un-div-inv
4×div-inv
2×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
Counts
2 → 1302
Calls
2 calls:
69.0ms
(* (/ z (cbrt 8.0)) (/ 1 (* (cbrt 8.0) (cbrt 8.0))))
68.0ms
(* (/ z (cbrt 8.0)) (/ 1 (* (cbrt 8.0) (cbrt 8.0))))

series230.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(* (/ z (cbrt 8.0)) (/ 1 (* (cbrt 8.0) (cbrt 8.0))))
114.0ms
(* (/ z (cbrt 8.0)) (/ 1 (* (cbrt 8.0) (cbrt 8.0))))

simplify216.0ms

Algorithm
egg-herbie
Counts
1308 → 1308
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0257813854
1500112756

prune2.9s

Filtered
1308 candidates to 618 candidates (47.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New130801308
Fresh000
Picked011
Done000
Total130811309

Merged error: 0b

Counts
1309 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02626
13026
23026

end0.0ms

sample413.0ms

Algorithm
intervals
Results
229.0ms9106×body80valid