Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
10.0ms383×body80valid

simplify286.0ms

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

prune6.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

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

series36.0ms

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

simplify52.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
17952
225652
3102552
4500152

prune39.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New10313
Fresh011
Picked011
Done000
Total10515

Merged error: 0.0b

Counts
15 → 5

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))

series134.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* x y) (* z z))
46.0ms
(+ (+ (* x y) (* z z)) (* z z))
51.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify131.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0235373
11084317
24667293
35001292

prune135.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57360
Fresh123
Picked101
Done011
Total59665

Merged error: 0.0b

Counts
65 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
1.6b
(cbrt (+ (* x y) (* z z)))
1.6b
(cbrt (+ (* x y) (* z z)))
1.6b
(cbrt (+ (* x y) (* z z)))

rewrite23.0ms

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:
10.0ms
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
3.0ms
(cbrt (+ (* x y) (* z z)))
3.0ms
(cbrt (+ (* x y) (* z z)))
3.0ms
(cbrt (+ (* x y) (* z z)))

series525.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
123.0ms
(cbrt (+ (* x y) (* z z)))
126.0ms
(cbrt (+ (* x y) (* z z)))
123.0ms
(cbrt (+ (* x y) (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
02951068
111721002
25001923

prune315.0ms

Filtered
107 candidates to 86 candidates (80.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh134
Picked101
Done011
Total1076113

Merged error: 0.0b

Counts
113 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
1.6b
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
1.6b
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
1.6b
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

rewrite41.0ms

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:
17.0ms
(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
9.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
6.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
7.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

series572.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
135.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
138.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
137.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

simplify112.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03171903
110831778
247301641
350011641

prune282.0ms

Filtered
107 candidates to 86 candidates (80.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh044
Picked011
Done011
Total1049113

Merged error: 0b

Counts
113 → 9

regimes242.0ms

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

sample550.0ms

Algorithm
intervals
Results
308.0ms12065×body80valid