Details

Time bar (total: 2.2s)

sample23.0ms

Algorithm
intervals
Results
10.0ms349×body80valid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0226
1506
21244
32804
45344
58694
613974
735214
850014

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt
10×add-log-exp
9×prod-diff
8×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u fma-def times-frac fma-neg associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- diff-log associate-*r/ div-exp sum-log flip-- associate-/l/
1×+-commutative sub-neg frac-2neg flip3-+ prod-exp associate--l+ clear-num cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 72
Calls
3 calls:
15.0ms
(- (+ x (* y 0.25)) z)
11.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
22.0ms
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series95.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(- (+ x (* y 0.25)) z)
34.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
38.0ms
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0365602
11497458
25001440

prune195.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative fma-udef div-inv
Counts
2 → 44
Calls
2 calls:
0.0ms
(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
7.0ms
(* 4.0 (/ z y))

series44.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
18.0ms
(* 4.0 (/ z y))

simplify73.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0193228
1829202
23625202
35002199

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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 y) (fma 0.25 y (- x z)) 1.0)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(fma (/ 4.0 y) (fma 0.25 y (- x z)) 1.0)

simplify43.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 4 (40.0ms)

IterNodesCost
04882
111670
233970
3149867
4500164

prune39.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (/ x y) (- 2.0 (* (/ 4.0 (sqrt y)) (/ z (sqrt y)))))
0.1b
(/ z (sqrt y))
0.2b
(/ 4.0 (sqrt y))
0.2b
(* (/ 4.0 (sqrt y)) (/ z (sqrt y)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
60×add-cube-cbrt *-un-lft-identity
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
9×unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 167
Calls
4 calls:
0.0ms
(fma 4.0 (/ x y) (- 2.0 (* (/ 4.0 (sqrt y)) (/ z (sqrt y)))))
3.0ms
(/ z (sqrt y))
3.0ms
(/ 4.0 (sqrt y))
25.0ms
(* (/ 4.0 (sqrt y)) (/ z (sqrt y)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(fma 4.0 (/ x y) (- 2.0 (* (/ 4.0 (sqrt y)) (/ z (sqrt y)))))
44.0ms
(/ z (sqrt y))
46.0ms
(/ 4.0 (sqrt y))
31.0ms
(* (/ 4.0 (sqrt y)) (/ z (sqrt y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06241237
127091117
250011051

prune440.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

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

sample533.0ms

Algorithm
intervals
Results
311.0ms10097×body80valid