Details

Time bar (total: 1.8s)

sample18.0ms

Algorithm
intervals
Results
6.0ms285×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2224
3224

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
16.0ms
(+ (/ x 2.0) (* y x))
70.0ms
(+ (+ (/ x 2.0) (* y x)) z)

series66.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (/ x 2.0) (* y x))
26.0ms
(+ (+ (/ x 2.0) (* y x)) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0163180
1542168
21917162
35001160

prune64.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y 0.5))
0.0b
(+ (* x (+ y 0.5)) z)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
20.0ms
(* x (+ y 0.5))
12.0ms
(+ (* x (+ y 0.5)) z)

series56.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* x (+ y 0.5))
26.0ms
(+ (* x (+ y 0.5)) z)

simplify90.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0195166
1755151
23668149
35001149

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* y x) (+ (* 0.5 x) z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ *-un-lft-identity flip3-+ add-cbrt-cube flip-+
Counts
1 → 13
Calls
1 calls:
21.0ms
(+ (* y x) (+ (* 0.5 x) z))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(+ (* y x) (+ (* 0.5 x) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0119100
148087
2215787
3500187

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)) z)
4.9b
(* x (- (* y y) (* 0.5 0.5)))
9.2b
(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×associate-*r/ associate-*r*
3×flip3-- associate-*l* flip-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 66
Calls
3 calls:
48.0ms
(+ (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)) z)
28.0ms
(* x (- (* y y) (* 0.5 0.5)))
32.0ms
(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

series231.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ (/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5)) z)
58.0ms
(* x (- (* y y) (* 0.5 0.5)))
88.0ms
(/ (* x (- (* y y) (* 0.5 0.5))) (- y 0.5))

simplify52.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0379566
11727494
25001456

prune166.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

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
0124
1124

end0.0ms

sample457.0ms

Algorithm
intervals
Results
193.0ms9115×body80valid
0.0ms1×body1280valid