Details

Time bar (total: 2.9s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms256×pre80true

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (14.0ms)

IterNodesCost
0257
1617
21717
33687
48496
526396
650016

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 62.0b

Counts
2 → 1

localize8.0ms

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)))

series171.0ms

Counts
1 → 3
Calls
1 calls:
171.0ms
(- (* 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

prune73.0ms

Filtered
29 candidates to 24 candidates (82.8%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New28129
Fresh000
Picked101
Done000
Total29130

Merged error: 52.0b

Counts
30 → 1

localize21.0ms

Local error

Found 1 expressions with local error:

23.0b
(- (* 9.0 (* (pow (/ 1 (pow -1 4.0)) 1.0) (pow x 4))) (pow y 4))

rewrite18.0ms

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:
17.0ms
(- (* 9.0 (* (pow (/ 1 (pow -1 4.0)) 1.0) (pow x 4))) (pow y 4))

series516.0ms

Counts
1 → 3
Calls
1 calls:
516.0ms
(- (* 9.0 (* (pow (/ 1 (pow -1 4.0)) 1.0) (pow x 4))) (pow y 4))

simplify33.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0196332
1760278
25002265

prune69.0ms

Filtered
25 candidates to 16 candidates (64.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New24125
Fresh000
Picked101
Done000
Total25126

Merged error: 52.0b

Counts
26 → 1

localize19.0ms

Local error

Found 2 expressions with local error:

1.0b
(cbrt (pow (- (* 9.0 (* (pow (/ 1 (pow -1 4.0)) 1.0) (pow x 4))) (pow y 4)) 3))
23.0b
(- (* 9.0 (* (pow (/ 1 (pow -1 4.0)) 1.0) (pow x 4))) (pow y 4))

rewrite32.0ms

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:
13.0ms
(cbrt (pow (- (* 9.0 (* (pow (/ 1 (pow -1 4.0)) 1.0) (pow x 4))) (pow y 4)) 3))
17.0ms
(- (* 9.0 (* (pow (/ 1 (pow -1 4.0)) 1.0) (pow x 4))) (pow y 4))

series1.1s

Counts
2 → 6
Calls
2 calls:
539.0ms
(cbrt (pow (- (* 9.0 (* (pow (/ 1 (pow -1 4.0)) 1.0) (pow x 4))) (pow y 4)) 3))
529.0ms
(- (* 9.0 (* (pow (/ 1 (pow -1 4.0)) 1.0) (pow x 4))) (pow y 4))

simplify45.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0275714
11108675
25002656

prune157.0ms

Filtered
53 candidates to 33 candidates (62.3%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New53053
Fresh000
Picked011
Done000
Total53154

Merged error: 52.0b

Counts
54 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02712
12712

end0.0ms

sample507.0ms

Algorithm
intervals
Results
276.0ms8000×body80valid
95.0ms8000×pre80true