Details

Time bar (total: 1.6s)

sample17.0ms

Algorithm
intervals
Results
6.0ms335×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1443
2993
31813
42333
52393
62393

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ z 1.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
flip3-+ flip-+
add-sqr-sqrt
frac-times associate-*r* associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
associate-*r/ associate-*l/ distribute-lft-out
distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
9.0ms
(* (+ x y) (+ z 1.0))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* (+ x y) (+ z 1.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0277192
11225178
25001178

prune78.0ms

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
(+ (* z (+ x y)) (fma 1.0 x (* 1.0 y)))
0.0b
(* z (+ x y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in expm1-log1p-u associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ log1p-expm1-u
+-commutative associate-+r+ fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod fma-udef distribute-lft-out unswap-sqr
Counts
2 → 42
Calls
2 calls:
6.0ms
(+ (* z (+ x y)) (fma 1.0 x (* 1.0 y)))
6.0ms
(* z (+ x y))

series64.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* z (+ x y)) (fma 1.0 x (* 1.0 y)))
25.0ms
(* z (+ x y))

simplify35.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0228218
11062196
25001187

prune103.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* z x) (fma y z (fma 1.0 x (* 1.0 y))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log +-commutative add-sqr-sqrt expm1-log1p-u add-cube-cbrt associate-+r+ fma-def *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ fma-udef log1p-expm1-u
Counts
1 → 15
Calls
1 calls:
4.0ms
(+ (* z x) (fma y z (fma 1.0 x (* 1.0 y))))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ (* z x) (fma y z (fma 1.0 x (* 1.0 y))))

simplify50.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0119123
1389111
21705111
35002106

prune49.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ z 1.0))
0.0b
(sqrt (+ z 1.0))
0.1b
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))
0.1b
(* (+ x y) (sqrt (+ z 1.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
21×add-sqr-sqrt *-un-lft-identity
17×sqrt-prod
16×associate-*l/
14×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
associate-*l* distribute-lft-out
expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 *-commutative hypot-def unswap-sqr
Counts
4 → 122
Calls
4 calls:
4.0ms
(sqrt (+ z 1.0))
3.0ms
(sqrt (+ z 1.0))
15.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))
10.0ms
(* (+ x y) (sqrt (+ z 1.0)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (+ z 1.0))
32.0ms
(sqrt (+ z 1.0))
29.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))
68.0ms
(* (+ x y) (sqrt (+ z 1.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04991061
11833936
25001918

prune316.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample401.0ms

Algorithm
intervals
Results
192.0ms10031×body80valid
0.0msbody640valid
0.0msbody320valid