Details

Time bar (total: 2.5s)

sample15.0ms

Algorithm
intervals
Results
7.0ms286×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0134
1243
2283
3303
4303

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (fma x y z) (/ x 2.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+l+ flip3-+ sum-log add-cbrt-cube flip-+ fma-udef log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
6.0ms
(+ (fma x y z) (/ x 2.0))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(+ (fma x y z) (/ x 2.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09090
128779
2122779
3500179

prune40.0ms

Filtered
21 candidates to 17 candidates (81.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19221
Fresh000
Picked011
Done000
Total19322

Merged error: 0b

Counts
22 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
0.5b
(cbrt (+ (fma x y z) (/ x 2.0)))
0.5b
(cbrt (+ (fma x y z) (/ x 2.0)))
0.5b
(cbrt (+ (fma x y z) (/ x 2.0)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
8×add-cbrt-cube
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative
Counts
4 → 106
Calls
4 calls:
15.0ms
(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
5.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
6.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
5.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))

series587.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
132.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
128.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
130.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04071401
114401303
250011166

prune252.0ms

Filtered
118 candidates to 83 candidates (70.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh011
Picked011
Done011
Total1183121

Merged error: 0b

Counts
121 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (fma x y z) 3)
0.1b
(* (fma x y z) (fma x y z))
5.4b
(+ (pow (fma x y z) 3) (pow (/ x 2.0) 3))
40.3b
(/ (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3)) (fma (/ x 2.0) (- (/ x 2.0) (fma x y z)) (* (fma x y z) (fma x y z))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
28×add-sqr-sqrt
27×times-frac
26×add-cube-cbrt
23×pow-unpow
20×sum-cubes
16×unpow-prod-down
12×pow1
10×distribute-lft-out
9×add-exp-log add-cbrt-cube associate-/l*
8×fma-def
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×swap-sqr associate-*r* associate-*l* associate-/r*
2×flip3-+ unpow3 flip-+ fma-udef associate-/l/ sqr-pow
1×cbrt-undiv +-commutative pow2 distribute-rgt-in pow-to-exp pow-pow frac-2neg distribute-lft-in pow-plus div-exp pow-prod-down pow-exp prod-exp clear-num sum-log pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv rem-cube-cbrt unswap-sqr
Counts
4 → 132
Calls
4 calls:
2.0ms
(pow (fma x y z) 3)
3.0ms
(* (fma x y z) (fma x y z))
13.0ms
(+ (pow (fma x y z) 3) (pow (/ x 2.0) 3))
16.0ms
(/ (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3)) (fma (/ x 2.0) (- (/ x 2.0) (fma x y z)) (* (fma x y z) (fma x y z))))

series490.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(pow (fma x y z) 3)
38.0ms
(* (fma x y z) (fma x y z))
131.0ms
(+ (pow (fma x y z) 3) (pow (/ x 2.0) 3))
242.0ms
(/ (+ (pow (fma x y z) 3) (pow (/ x 2.0) 3)) (fma (/ x 2.0) (- (/ x 2.0) (fma x y z)) (* (fma x y z) (fma x y z))))

simplify88.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
04841681
122241542
250011521

prune313.0ms

Filtered
144 candidates to 94 candidates (65.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done022
Total1443147

Merged error: 0b

Counts
147 → 3

regimes53.0ms

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
083
183

end0.0ms

sample407.0ms

Algorithm
intervals
Results
224.0ms9103×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid