Details

Time bar (total: 1.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms256×pre80true

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (15.0ms)

IterNodesCost
0257
1617
21717
33687
48496
526396
650016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×associate--r+
7×prod-diff
5×distribute-rgt-in distribute-lft-in
3×add-sqr-sqrt add-cube-cbrt sub-neg *-un-lft-identity add-log-exp
1×pow1 add-exp-log expm1-log1p-u flip3-- fma-neg diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 26
Calls
1 calls:
6.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

series174.0ms

Counts
1 → 3
Calls
1 calls:
174.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

simplify35.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0244283
1933242
25001236

prune72.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize11.0ms

Local error

Found 1 expressions with local error:

23.0b
(- (* 9.0 (pow x 4)) (pow y 4))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×prod-diff
3×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- fma-neg diff-log add-cbrt-cube flip-- log1p-expm1-u sqr-pow
Counts
1 → 22
Calls
1 calls:
6.0ms
(- (* 9.0 (pow x 4)) (pow y 4))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(- (* 9.0 (pow x 4)) (pow y 4))

simplify145.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 3 (141.0ms)

IterNodesCost
0180216
1663170
24239152
35001150

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize20.0ms

Local error

Found 2 expressions with local error:

1.0b
(cbrt (pow (- (* 9.0 (pow x 4)) (pow y 4)) 3))
23.0b
(- (* 9.0 (pow x 4)) (pow y 4))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-diff
6×unpow-prod-down
4×add-log-exp
3×cube-prod
2×pow1 add-exp-log cube-div expm1-log1p-u cbrt-div flip3-- add-cbrt-cube flip-- log1p-expm1-u sqr-pow
1×cube-mult sub-neg fma-neg pow1/3 diff-log unpow3 rem-cbrt-cube
Counts
2 → 47
Calls
2 calls:
9.0ms
(cbrt (pow (- (* 9.0 (pow x 4)) (pow y 4)) 3))
6.0ms
(- (* 9.0 (pow x 4)) (pow y 4))

series117.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(cbrt (pow (- (* 9.0 (pow x 4)) (pow y 4)) 3))
56.0ms
(- (* 9.0 (pow x 4)) (pow y 4))

simplify40.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0259426
11007387
25001374

prune126.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168
1168

end0.0ms

sample493.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid
96.0ms8000×pre80true