Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
6.0ms289×body80valid
0.0ms1×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0134
1243
2283
3303
4303

prune5.0ms

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

localize5.0ms

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))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(+ (fma x y z) (/ x 2.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09590
130779
2128779
3500179

prune63.0ms

Filtered
21 candidates to 17 candidates (81.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New18321
Fresh101
Picked011
Done000
Total19423

Merged error: 0.0b

Counts
23 → 4

localize16.0ms

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)))

rewrite40.0ms

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
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube 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 cbrt-unprod
Counts
4 → 103
Calls
4 calls:
14.0ms
(* (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)))
9.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
9.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (cbrt (+ (fma x y z) (/ x 2.0))) (cbrt (+ (fma x y z) (/ x 2.0))))
126.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
120.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))
138.0ms
(cbrt (+ (fma x y z) (/ x 2.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03971336
113841257
250011151

prune306.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done011
Total1154119

Merged error: 0.0b

Counts
119 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fma x y z))
0.0b
(sqrt (fma x y z))
0.2b
(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×sqrt-prod
5×pow1 add-cube-cbrt *-un-lft-identity
3×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×fma-udef
Counts
3 → 40
Calls
3 calls:
1.0ms
(sqrt (fma x y z))
2.0ms
(sqrt (fma x y z))
1.0ms
(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

series329.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(sqrt (fma x y z))
70.0ms
(sqrt (fma x y z))
188.0ms
(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0168280
1503235
22023227
35002225

prune122.0ms

Filtered
49 candidates to 39 candidates (79.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh011
Picked011
Done022
Total49453

Merged error: 0.0b

Counts
53 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma x y z) (/ x 2.0))
0.0b
(sqrt (+ (fma x y z) (/ x 2.0)))
0.0b
(sqrt (+ (fma x y z) (/ x 2.0)))
0.2b
(* (sqrt (+ (fma x y z) (/ x 2.0))) (sqrt (+ (fma x y z) (/ x 2.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
35×*-un-lft-identity
34×sqrt-prod
21×pow1
16×sqrt-div
15×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times hypot-def log1p-expm1-u unswap-sqr
3×fma-def pow-prod-down pow-sqr
2×rem-sqrt-square times-frac associate-*r/ associate-*l/
1×+-commutative pow2 associate-+l+ pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 122
Calls
4 calls:
6.0ms
(+ (fma x y z) (/ x 2.0))
6.0ms
(sqrt (+ (fma x y z) (/ x 2.0)))
6.0ms
(sqrt (+ (fma x y z) (/ x 2.0)))
18.0ms
(* (sqrt (+ (fma x y z) (/ x 2.0))) (sqrt (+ (fma x y z) (/ x 2.0))))

series321.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (fma x y z) (/ x 2.0))
125.0ms
(sqrt (+ (fma x y z) (/ x 2.0)))
131.0ms
(sqrt (+ (fma x y z) (/ x 2.0)))
31.0ms
(* (sqrt (+ (fma x y z) (/ x 2.0))) (sqrt (+ (fma x y z) (/ x 2.0))))

simplify40.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0260853
1972761
25001735

prune237.0ms

Filtered
134 candidates to 80 candidates (59.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done033
Total1344138

Merged error: 0.0b

Counts
138 → 4

regimes55.0ms

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

sample382.0ms

Algorithm
intervals
Results
203.0ms9083×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid