Details

Time bar (total: 2.8s)

sample22.0ms

Algorithm
intervals
Results
11.0ms325×body80valid

simplify161.0ms

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

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.1b
(* (- y x) 6.0)
0.2b
(* (* (- y x) 6.0) z)

rewrite19.0ms

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))
6.0ms
(* (- y x) 6.0)
8.0ms
(* (* (- y x) 6.0) z)

series117.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ x (* (* (- y x) 6.0) z))
34.0ms
(* (- y x) 6.0)
39.0ms
(* (* (- y x) 6.0) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0259314
11122267
25002265

prune125.0ms

Filtered
71 candidates to 49 candidates (69.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New67471
Fresh011
Picked011
Done000
Total67673

Merged error: 0b

Counts
73 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b
(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:
1.0ms
(fma (- y x) (* 6.0 z) x)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (- y x) (* 6.0 z) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
04469
111059
234353
3168453
4500253

prune32.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh044
Picked011
Done011
Total13619

Merged error: 0b

Counts
19 → 6

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))
0.5b
(* (cbrt (- y x)) (cbrt (- y x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
14.0ms
(* (cbrt (- y x)) (cbrt (- y x)))

series586.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- y x))
153.0ms
(cbrt (- y x))
151.0ms
(cbrt (- y x))
127.0ms
(* (cbrt (- y x)) (cbrt (- y x)))

simplify162.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0270790
1955753
24630700
35001700

prune291.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh033
Picked011
Done022
Total1216127

Merged error: 0b

Counts
127 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (* y y) (* x x)) 6.0)
4.1b
(- (* y y) (* x x))
10.4b
(* (* (- (* y y) (* x x)) 6.0) z)
19.2b
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*l/
9×add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* add-log-exp
5×associate-*l*
4×expm1-log1p-u flip3-- times-frac pow-prod-down associate-/r* flip-- log1p-expm1-u
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ fma-neg diff-log prod-diff clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 93
Calls
4 calls:
6.0ms
(* (- (* y y) (* x x)) 6.0)
4.0ms
(- (* y y) (* x x))
7.0ms
(* (* (- (* y y) (* x x)) 6.0) z)
11.0ms
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

series200.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (- (* y y) (* x x)) 6.0)
34.0ms
(- (* y y) (* x x))
52.0ms
(* (* (- (* y y) (* x x)) 6.0) z)
69.0ms
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

simplify70.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0414739
12255613
25002607

prune194.0ms

Filtered
105 candidates to 72 candidates (68.6%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1032105
Fresh202
Picked011
Done033
Total1056111

Merged error: 0b

Counts
111 → 6

regimes96.0ms

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

sample486.0ms

Algorithm
intervals
Results
279.0ms10165×body80valid

Profiling

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