Details

Time bar (total: 2.4s)

sample37.0ms

Algorithm
intervals
Results
24.0ms288×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0134
1243
2283
3303
4303

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ (fma x y z) (/ x 2.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09590
130779
2128779
3500179

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x y z)) (cbrt (fma x y z)))
0.6b
(cbrt (fma x y z))
0.6b
(cbrt (fma x y z))
0.6b
(cbrt (fma x y z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt (fma x y z)) (cbrt (fma x y z)))
0.0ms
(cbrt (fma x y z))
0.0ms
(cbrt (fma x y z))
1.0ms
(cbrt (fma x y z))

series438.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (cbrt (fma x y z)) (cbrt (fma x y z)))
108.0ms
(cbrt (fma x y z))
103.0ms
(cbrt (fma x y z))
102.0ms
(cbrt (fma x y z))

simplify120.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0207517
1764479
23807429
35001425

prune239.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (fma x y z) (fma x y z))
6.6b
(- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0)))
31.9b
(/ (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))) (- (fma x y z) (/ x 2.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
29×*-un-lft-identity times-frac
19×add-cube-cbrt
18×difference-of-squares
10×pow1
7×add-exp-log add-cbrt-cube
6×associate-/r*
5×distribute-lft-out-- add-log-exp
4×fma-udef associate-/l*
3×expm1-log1p-u flip3-- swap-sqr associate-*r* associate-*l* flip-- log1p-expm1-u
2×distribute-rgt-in distribute-lft-in associate--l+ associate-/r/ associate-/l/
1×cbrt-undiv pow2 sub-neg frac-2neg pow-plus fma-neg diff-log div-sub div-exp prod-diff pow-prod-down prod-exp clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv unswap-sqr
Counts
3 → 101
Calls
3 calls:
3.0ms
(* (fma x y z) (fma x y z))
3.0ms
(- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0)))
18.0ms
(/ (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))) (- (fma x y z) (/ x 2.0)))

series231.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (fma x y z) (fma x y z))
75.0ms
(- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0)))
117.0ms
(/ (- (* (fma x y z) (fma x y z)) (* (/ x 2.0) (/ x 2.0))) (- (fma x y z) (/ x 2.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04171265
118541139
250011117

prune247.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes50.0ms

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

sample731.0ms

Algorithm
intervals
Results
535.0ms9059×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid