Details

Time bar (total: 11.7s)

sample28.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
4.0ms256×pre80true

simplify1.2s

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize21.0ms

Local error

Found 1 expressions with local error:

62.0b
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
associate--r+
sub-neg add-log-exp
distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 16
Calls
1 calls:
27.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

series285.0ms

Counts
1 → 3
Calls
1 calls:
284.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

simplify1.8s

Counts
19 → 19

prune53.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize13.0ms

Local error

Found 1 expressions with local error:

23.0b
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
18.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

series655.0ms

Counts
1 → 3
Calls
1 calls:
655.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

simplify1.1s

Counts
15 → 15

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize17.0ms

Local error

Found 2 expressions with local error:

1.0b
(cbrt (pow (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) 3))
23.0b
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
unpow-prod-down cube-prod
pow1 add-exp-log cube-div cbrt-div flip3-- add-cbrt-cube flip--
cube-mult sub-neg pow1/3 diff-log unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 35
Calls
2 calls:
27.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) 3))
19.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

series1.3s

Counts
2 → 6
Calls
2 calls:
622.0ms
(cbrt (pow (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) 3))
665.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

simplify2.8s

Counts
41 → 41

prune166.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify1.2s

end0.0ms

sample964.0ms

Algorithm
intervals
Results
452.0ms8000×body80valid
252.0ms8000×pre80true