Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms307×body80valid

simplify145.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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)

series41.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04469
111059
234353
3168453
4500253

prune29.0ms

Filtered
13 candidates to 10 candidates (76.9%)
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)
0.8b
(* (* (- 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:
2.0ms
(+ x (* (* (- y x) 6.0) z))
12.0ms
(* (- y x) 6.0)
15.0ms
(* (* (- y x) 6.0) z)

series109.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ x (* (* (- y x) 6.0) z))
28.0ms
(* (- y x) 6.0)
36.0ms
(* (* (- y x) 6.0) z)

simplify39.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0259314
11122267
25002265

prune131.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
0.5b
(* (cbrt (- y x)) (cbrt (- y x)))
0.7b
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) 6.0)) z)

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
60×associate-*l/
38×cbrt-prod
35×add-sqr-sqrt flip3-- flip--
33×*-un-lft-identity
32×frac-times
29×pow1
24×add-exp-log
16×add-cbrt-cube
15×add-cube-cbrt pow-prod-down
14×prod-exp cbrt-unprod
11×associate-*r*
10×associate-*r/ swap-sqr
9×associate-*l*
8×pow1/3 distribute-lft-out--
6×difference-of-squares
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 147
Calls
4 calls:
2.0ms
(cbrt (- y x))
2.0ms
(cbrt (- y x))
19.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
149.0ms
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) 6.0)) z)

series446.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- y x))
147.0ms
(cbrt (- y x))
117.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
40.0ms
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) 6.0)) z)

simplify87.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06811445
127991267
250011172

prune376.0ms

Filtered
159 candidates to 102 candidates (64.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (pow (* (* z (- y x)) 6.0) 1))
0.0b
(* z (- y x))
0.3b
(* (* z (- y x)) 6.0)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u fma-def log1p-expm1-u
2×sub-neg flip3-- associate-*l/ *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 85
Calls
3 calls:
4.0ms
(+ x (pow (* (* z (- y x)) 6.0) 1))
14.0ms
(* z (- y x))
14.0ms
(* (* z (- y x)) 6.0)

series127.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ x (pow (* (* z (- y x)) 6.0) 1))
36.0ms
(* z (- y x))
47.0ms
(* (* z (- y x)) 6.0)

simplify51.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0344606
11605417
25002414

prune153.0ms

Filtered
94 candidates to 53 candidates (56.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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

sample436.0ms

Algorithm
intervals
Results
232.0ms10175×body80valid