Details

Time bar (total: 2.4s)

sample35.0ms

Algorithm
intervals
Results
23.0ms332×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (85.0ms)

IterNodesCost
0205
1475
21465
33565
47505
516045
625775
750014

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ 4.0 z) (- x (fma 0.5 z y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1
frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 62
Calls
1 calls:
17.0ms
(* (/ 4.0 z) (- x (fma 0.5 z y)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* (/ 4.0 z) (- x (fma 0.5 z y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0393670
11513480
25001468

prune138.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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:
0.0ms
(fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))

series36.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma 4.0 (/ x z) (- (fma 4.0 (/ y z) 2.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (64.0ms)

IterNodesCost
03789
18778
227378
3150978
4500275

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x (fma 0.5 z y)) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
associate-/l*
distribute-lft-out-- difference-of-squares
add-exp-log associate-/r* add-cbrt-cube
associate-/l/
pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
10.0ms
(/ (- x (fma 0.5 z y)) z)

series38.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (- x (fma 0.5 z y)) z)

simplify60.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0170266
1469252
21622252
35001251

prune108.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 4.0 (/ x z))
0.0b
(+ (* 4.0 (/ x z)) (* (/ 4.0 z) (- (fma 0.5 z y))))
0.3b
(* (/ 4.0 z) (- (fma 0.5 z y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×associate-*r*
21×add-cube-cbrt *-un-lft-identity
20×times-frac
16×associate-*l*
13×add-exp-log add-cbrt-cube
pow1
add-log-exp
distribute-neg-in prod-exp cbrt-unprod fma-udef unswap-sqr
distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in distribute-rgt-neg-out log1p-expm1-u
cbrt-undiv distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative div-inv
+-commutative neg-mul-1 fma-def flip3-+ unsub-neg frac-add sum-log flip-+
Counts
3 → 97
Calls
3 calls:
7.0ms
(* 4.0 (/ x z))
5.0ms
(+ (* 4.0 (/ x z)) (* (/ 4.0 z) (- (fma 0.5 z y))))
12.0ms
(* (/ 4.0 z) (- (fma 0.5 z y)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* 4.0 (/ x z))
52.0ms
(+ (* 4.0 (/ x z)) (* (/ 4.0 z) (- (fma 0.5 z y))))
56.0ms
(* (/ 4.0 z) (- (fma 0.5 z y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0511579
12356537
25002532

prune288.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

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
0105

end0.0ms

sample985.0ms

Algorithm
intervals
Results
752.0ms9988×body80valid