Details

Time bar (total: 2.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms306×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0226
1506
21244
32804
45344
58694
613974
735214
850014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.0b
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log *-un-lft-identity add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt
4×add-log-exp
3×fma-def times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp log1p-expm1-u associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 42
Calls
2 calls:
8.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
21.0ms
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series62.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
37.0ms
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify30.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0265349
11079306
25002297

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*r*
10×times-frac
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*l* prod-diff log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-- fma-udef div-inv
Counts
3 → 64
Calls
3 calls:
7.0ms
(* 4.0 (/ z y))
0.0ms
(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
3.0ms
(- 2.0 (* 4.0 (/ z y)))

series72.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* 4.0 (/ z y))
26.0ms
(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
27.0ms
(- 2.0 (* 4.0 (/ z y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0267355
11095317
25002316

prune164.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) (- (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 1.0) (* 1.0 1.0))
0.2b
(pow (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 3)
4.4b
(- (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 1.0)
21.9b
(/ (+ (pow 1.0 3) (pow (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 3)) (fma (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) (- (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 1.0) (* 1.0 1.0)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
45×times-frac
40×add-sqr-sqrt
38×add-cube-cbrt
23×unpow-prod-down cube-prod
21×prod-diff
20×distribute-lft-out
12×add-exp-log add-cbrt-cube
9×associate-/l*
7×fma-neg div-inv
6×add-log-exp
5×pow1
4×expm1-log1p-u sum-cubes log1p-expm1-u
3×cbrt-undiv pow-unpow div-exp pow-exp associate-/r* rem-cube-cbrt
2×associate-/l/
1×cube-div cube-mult pow-to-exp sub-neg flip3-- pow-pow frac-2neg flip3-+ diff-log unpow3 prod-exp clear-num flip-- cbrt-unprod flip-+ fma-udef distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 147
Calls
4 calls:
0.0ms
(fma (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) (- (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 1.0) (* 1.0 1.0))
11.0ms
(pow (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 3)
24.0ms
(- (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 1.0)
80.0ms
(/ (+ (pow 1.0 3) (pow (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 3)) (fma (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) (- (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 1.0) (* 1.0 1.0)))

series524.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(fma (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) (- (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 1.0) (* 1.0 1.0))
184.0ms
(pow (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 3)
41.0ms
(- (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 1.0)
189.0ms
(/ (+ (pow 1.0 3) (pow (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 3)) (fma (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) (- (/ (* 4.0 (- (+ x (* y 0.25)) z)) y) 1.0) (* 1.0 1.0)))

simplify110.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06163006
127962639
250012610

prune423.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes109.0ms

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
0115
1115

end0.0ms

sample498.0ms

Algorithm
intervals
Results
291.0ms10156×body80valid