Details

Time bar (total: 2.4s)

sample19.0ms

Algorithm
intervals
Results
8.0ms334×body80valid

simplify185.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(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)

simplify70.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
04469
111059
234353
3168453
4500253

prune35.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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)

rewrite35.0ms

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))
14.0ms
(* (- y x) 6.0)
16.0ms
(* (* (- y x) 6.0) z)

series129.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ x (* (* (- y x) 6.0) z))
32.0ms
(* (- y x) 6.0)
45.0ms
(* (* (- y x) 6.0) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0259314
11122267
25002265

prune155.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (* y y) (* x x)) 6.0)
0.3b
(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
1.9b
(- (* y y) (* x x))
26.5b
(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-sqr-sqrt
14×associate-*l*
11×add-cube-cbrt
8×pow1 times-frac
6×associate-*r* prod-exp cbrt-unprod add-log-exp
5×associate-*l/
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* associate-/r/ log1p-expm1-u
3×flip3-- flip-- distribute-lft-out
2×flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l/ difference-of-squares unswap-sqr
1×sub-neg frac-2neg fma-neg diff-log prod-diff clear-num associate-/l*
Counts
4 → 101
Calls
4 calls:
10.0ms
(* (- (* y y) (* x x)) 6.0)
23.0ms
(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
3.0ms
(- (* y y) (* x x))
10.0ms
(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

series233.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (- (* y y) (* x x)) 6.0)
76.0ms
(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
35.0ms
(- (* y y) (* x x))
67.0ms
(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

simplify75.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0435798
12183668
25001662

prune291.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
9×*-un-lft-identity
8×associate-*l*
7×add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×expm1-log1p-u fma-def log1p-expm1-u
2×flip3-- associate-*r/ *-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 (* 6.0 (* (- y x) z)))
11.0ms
(* (- y x) z)
17.0ms
(* 6.0 (* (- y x) z))

series129.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (* 6.0 (* (- y x) z)))
35.0ms
(* (- y x) z)
45.0ms
(* 6.0 (* (- y x) z))

simplify48.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0251314
1951265
25001263

prune160.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes110.0ms

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

sample473.0ms

Algorithm
intervals
Results
247.0ms10116×body80valid