Details

Time bar (total: 4.4s)

sample19.0ms

Algorithm
intervals
Results
7.0ms328×body80valid

simplify158.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0154
1323
2733
31503
42353
52773
63173
73713
85423
99743
1020153
1127363
1236063
1346763
1450013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(fma (- y x) (* 6.0 z) x)

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 (- y x) (* 6.0 z) x)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma (- y x) (* 6.0 z) x)

simplify61.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
04469
111059
234353
3168453
4500253

prune30.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.5b
(* (* (- y x) 6.0) z)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
9×*-un-lft-identity
7×add-cube-cbrt
6×associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u fma-def log1p-expm1-u
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
7.0ms
(+ x (* (* (- y x) 6.0) z))
20.0ms
(* (- y x) 6.0)
38.0ms
(* (* (- y x) 6.0) z)

series105.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ x (* (* (- y x) 6.0) z))
27.0ms
(* (- y x) 6.0)
38.0ms
(* (* (- y x) 6.0) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0259314
11122267
25002265

prune134.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.5b
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.5b
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
0.6b
(* (- y x) (sqrt 6.0))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log add-cbrt-cube
17×add-sqr-sqrt
15×associate-*r*
13×*-un-lft-identity
12×associate-*l/
11×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
7×associate-*l* sqrt-prod
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×flip3-- fma-def *-commutative flip--
2×unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
7.0ms
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
134.0ms
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
42.0ms
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
27.0ms
(* (- y x) (sqrt 6.0))

series461.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
150.0ms
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
91.0ms
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
55.0ms
(* (- y x) (sqrt 6.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0352652
11746516
25002497

prune212.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
0.3b
(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
0.5b
(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
0.6b
(* (- y x) (sqrt 6.0))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
61×pow1 add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
20×associate-*l/
19×associate-*r*
17×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
8×associate-*l*
7×sqrt-prod
6×cbrt-prod
4×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 125
Calls
4 calls:
61.0ms
(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
204.0ms
(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
709.0ms
(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
24.0ms
(* (- y x) (sqrt 6.0))

series659.0ms

Counts
4 → 12
Calls
4 calls:
354.0ms
(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
94.0ms
(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
153.0ms
(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
57.0ms
(* (- y x) (sqrt 6.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
04631571
124401170
250021048

prune261.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample693.0ms

Algorithm
intervals
Results
415.0ms10225×body80valid