Details

Time bar (total: 3.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms316×body80valid

simplify163.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) z)

rewrite31.0ms

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:
3.0ms
(+ x (* (* (- y x) 6.0) z))
11.0ms
(* (- y x) 6.0)
16.0ms
(* (* (- y x) 6.0) z)

series122.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ x (* (* (- y x) 6.0) z))
30.0ms
(* (- y x) 6.0)
42.0ms
(* (* (- y x) 6.0) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0259314
11122267
25002265

prune156.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

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)

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(fma (- y x) (* 6.0 z) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
04469
111059
234353
3168453
4500253

prune47.0ms

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

rewrite111.0ms

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:
3.0ms
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
73.0ms
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
12.0ms
(* (- y x) (sqrt 6.0))
20.0ms
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series508.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
164.0ms
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
64.0ms
(* (- y x) (sqrt 6.0))
100.0ms
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0352652
11746516
25003497

prune261.0ms

Pruning

8 alts after pruning (6 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))))
0.2b
(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
0.3b
(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
0.6b
(* (- y x) (sqrt 6.0))

rewrite556.0ms

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:
32.0ms
(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
397.0ms
(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
109.0ms
(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
12.0ms
(* (- y x) (sqrt 6.0))

series753.0ms

Counts
4 → 12
Calls
4 calls:
405.0ms
(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
169.0ms
(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
116.0ms
(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
62.0ms
(* (- y x) (sqrt 6.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
04631571
124401170
250021048

prune302.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes102.0ms

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
0114
1114

end0.0ms

sample421.0ms

Algorithm
intervals
Results
228.0ms10125×body80valid