Details

Time bar (total: 1.4s)

sample20.0ms

Algorithm
intervals
Results
10.0ms323×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0226
1506
21244
32804
45344
58694
613974
735214
850014

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.0b
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
48×add-sqr-sqrt times-frac
32×add-cube-cbrt
28×associate-*r*
16×associate-*l* associate-/l*
12×distribute-lft-out--
9×distribute-lft-out
7×add-exp-log add-cbrt-cube
4×*-commutative add-log-exp difference-of-squares unswap-sqr
3×fma-def associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp log1p-expm1-u associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv
Counts
2 → 102
Calls
2 calls:
21.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
18.0ms
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series67.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
41.0ms
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify50.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0459915
11913872
25001850

prune186.0ms

Filtered
108 candidates to 78 candidates (72.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1071108
Fresh011
Picked101
Done000
Total1082110

Merged error: 0b

Counts
110 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
0.0b
(* 4.0 (/ z y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
12×add-cube-cbrt
10×times-frac
9×associate-*r/
7×add-exp-log add-cbrt-cube
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×expm1-log1p-u prod-exp clear-num un-div-inv cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv frac-2neg div-exp pow-prod-down *-commutative fma-udef div-inv
Counts
2 → 54
Calls
2 calls:
1.0ms
(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
8.0ms
(* 4.0 (/ z y))

series48.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
19.0ms
(* 4.0 (/ z y))

simplify85.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0215245
1969219
24135219
35001216

prune94.0ms

Filtered
60 candidates to 43 candidates (71.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done000
Total60262

Merged error: 0b

Counts
62 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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 (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (40.0ms)

IterNodesCost
04882
111670
233970
3149867
4500164

prune23.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh000
Picked011
Done011
Total13215

Merged error: 0b

Counts
15 → 2

regimes41.0ms

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
0115
1115

end0.0ms

sample532.0ms

Algorithm
intervals
Results
317.0ms10147×body80valid