Details

Time bar (total: 3.6s)

sample21.0ms

Algorithm
intervals
Results
11.0ms383×body80valid

simplify300.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0166
1334
2564
3763
4883
51313
62363
73283
83433
94433
107973
1134993
1250013

prune10.0ms

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: 0.1b

Counts
2 → 2

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (* z z) (* x y))

rewrite2.0ms

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 3 (* z z) (* x y))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma 3 (* z z) (* x y))

simplify50.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
17952
225652
3102552
4500152

prune40.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New9413
Fresh011
Picked011
Done000
Total9615

Merged error: 0.1b

Counts
15 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z z))
0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
7×fma-def
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
2×associate-+l+
Counts
3 → 51
Calls
3 calls:
4.0ms
(+ (* x y) (* z z))
6.0ms
(+ (+ (* x y) (* z z)) (* z z))
9.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series133.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (* x y) (* z z))
49.0ms
(+ (+ (* x y) (* z z)) (* z z))
47.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify141.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0235373
11084317
24667293
35001292

prune130.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New57360
Fresh224
Picked011
Done011
Total59766

Merged error: 0.0b

Counts
66 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
2.5b
(cbrt (+ (* x y) (* z z)))
2.5b
(cbrt (+ (* x y) (* z z)))
2.5b
(cbrt (+ (* x y) (* z z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 95
Calls
4 calls:
12.0ms
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
4.0ms
(cbrt (+ (* x y) (* z z)))
3.0ms
(cbrt (+ (* x y) (* z z)))
4.0ms
(cbrt (+ (* x y) (* z z)))

series530.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
124.0ms
(cbrt (+ (* x y) (* z z)))
125.0ms
(cbrt (+ (* x y) (* z z)))
129.0ms
(cbrt (+ (* x y) (* z z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
02951068
111721002
25001923

prune275.0ms

Filtered
107 candidates to 86 candidates (80.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1043107
Fresh134
Picked011
Done022
Total1059114

Merged error: 0.0b

Counts
114 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
2.5b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
2.5b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
2.5b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 95
Calls
4 calls:
13.0ms
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
5.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
5.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
5.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series584.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
142.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
137.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
142.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify102.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
03131501
110451404
241691296
350011288

prune276.0ms

Filtered
107 candidates to 86 candidates (80.4%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1043107
Fresh145
Picked101
Done033
Total10610116

Merged error: 0.0b

Counts
116 → 10

regimes241.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample603.0ms

Algorithm
intervals
Results
360.0ms12208×body80valid

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