Details

Time bar (total: 2.1s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms256×pre80true

simplify83.0ms

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

localize9.0ms

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+
prod-diff
distribute-rgt-in distribute-lft-in
add-sqr-sqrt add-cube-cbrt sub-neg *-un-lft-identity add-log-exp
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)))

series163.0ms

Counts
1 → 3
Calls
1 calls:
163.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

simplify32.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0244283
1933242
25001236

prune68.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize12.0ms

Local error

Found 1 expressions with local error:

23.0b
(fma (pow x 4.0) 9.0 (- (pow y 4)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (pow x 4.0) 9.0 (- (pow y 4)))

series302.0ms

Counts
1 → 3
Calls
1 calls:
302.0ms
(fma (pow x 4.0) 9.0 (- (pow y 4)))

simplify83.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
05677
113468
247068
3200363
4500263

prune41.0ms

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 (fma (pow x 4.0) 9.0 (- (pow y 4))) 3))
23.0b
(fma (pow x 4.0) 9.0 (- (pow y 4)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down cube-prod
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cube-mult pow1/3 unpow3 rem-cbrt-cube fma-udef sqr-pow
Counts
2 → 33
Calls
2 calls:
2.0ms
(cbrt (pow (fma (pow x 4.0) 9.0 (- (pow y 4))) 3))
1.0ms
(fma (pow x 4.0) 9.0 (- (pow y 4)))

series622.0ms

Counts
2 → 6
Calls
2 calls:
313.0ms
(cbrt (pow (fma (pow x 4.0) 9.0 (- (pow y 4))) 3))
309.0ms
(fma (pow x 4.0) 9.0 (- (pow y 4)))

simplify46.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0112265
1337265
21261265
35001255

prune94.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02010
12410
22810
32810

end0.0ms

sample535.0ms

Algorithm
intervals
Results
291.0ms8000×body80valid
104.0ms8000×pre80true