Details

Time bar (total: 3.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms286×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0133
1313
2623
3773
4773

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (* y 4.0) z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
66×prod-diff
48×associate-*l*
45×*-un-lft-identity
39×add-cube-cbrt
18×associate-*r*
15×unswap-sqr
6×*-commutative
3×fma-neg distribute-lft-out-- add-log-exp difference-of-squares
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 89
Calls
1 calls:
13.0ms
(- x (* (* y 4.0) z))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(- x (* (* y 4.0) z))

simplify68.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05241461
11778995
25001850

prune73.0ms

Filtered
92 candidates to 31 candidates (33.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New90292
Fresh000
Picked011
Done000
Total90393

Merged error: 0b

Counts
93 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series751.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt y)
185.0ms
(cbrt y)
192.0ms
(cbrt y)
187.0ms
(cbrt y)

simplify130.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
042172
183160
2195152
3695152
44069152
55001152

prune172.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done011
Total64367

Merged error: 0b

Counts
67 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma x x (* (* y 4.0) (* z (fma (* y 4.0) z x))))
2.6b
(- (pow x 3) (pow (* (* y 4.0) z) 3))
6.7b
(* (* y 4.0) (* z (fma (* y 4.0) z x)))
39.3b
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma x x (* (* y 4.0) (* z (fma (* y 4.0) z x)))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
372×add-sqr-sqrt
360×unpow-prod-down
216×prod-diff
205×*-un-lft-identity
153×associate-*l*
145×add-cube-cbrt
87×unswap-sqr
78×times-frac
76×sqr-pow
75×difference-of-squares
66×associate-*r*
36×unpow3
26×associate-/l*
20×difference-cubes pow-unpow distribute-lft-out--
19×*-commutative
18×add-exp-log add-cbrt-cube
16×pow1
8×fma-neg pow-prod-down prod-exp cbrt-unprod
6×add-log-exp
5×fma-udef
4×distribute-rgt-in expm1-log1p-u distribute-lft-in log1p-expm1-u
3×associate-/r*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 449
Calls
4 calls:
1.0ms
(fma x x (* (* y 4.0) (* z (fma (* y 4.0) z x))))
28.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
15.0ms
(* (* y 4.0) (* z (fma (* y 4.0) z x)))
42.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma x x (* (* y 4.0) (* z (fma (* y 4.0) z x)))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(fma x x (* (* y 4.0) (* z (fma (* y 4.0) z x))))
196.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
54.0ms
(* (* y 4.0) (* z (fma (* y 4.0) z x)))
136.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma x x (* (* y 4.0) (* z (fma (* y 4.0) z x)))))

simplify132.0ms

Algorithm
egg-herbie
Counts
461 → 461
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
017669180
150027342

prune945.0ms

Filtered
461 candidates to 202 candidates (43.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4610461
Fresh000
Picked011
Done022
Total4613464

Merged error: 0b

Counts
464 → 3

regimes113.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample389.0ms

Algorithm
intervals
Results
201.0ms9133×body80valid