Details

Time bar (total: 4.2s)

sample22.0ms

Algorithm
intervals
Results
11.0ms383×body80valid

simplify291.0ms

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

prune5.0ms

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

localize5.0ms

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))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma 3 (* z z) (* x y))

simplify53.0ms

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))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
160×*-un-lft-identity
102×distribute-lft-out
74×associate-*l*
32×fma-def
19×add-log-exp
10×add-sqr-sqrt sum-log
8×add-cube-cbrt associate-+l+
6×+-commutative
3×pow1 add-exp-log expm1-log1p-u flip3-+ associate-*r* add-cbrt-cube flip-+ log1p-expm1-u
1×*-commutative unswap-sqr
Counts
3 → 116
Calls
3 calls:
14.0ms
(+ (* x y) (* z z))
22.0ms
(+ (+ (* x y) (* z z)) (* z z))
37.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series133.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (* x y) (* z z))
45.0ms
(+ (+ (* x y) (* z z)) (* z z))
49.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify157.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 3 (149.0ms)

IterNodesCost
0237533
11097431
24641406
35001405

prune181.0ms

Filtered
125 candidates to 62 candidates (49.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1223125
Fresh123
Picked101
Done011
Total1246130

Merged error: 0.0b

Counts
130 → 6

localize13.0ms

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)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
143×*-un-lft-identity
93×cbrt-prod
70×associate-*l*
60×distribute-lft-out
30×swap-sqr
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×associate-*r*
9×flip3-+ pow1/3 flip-+
8×add-cbrt-cube
6×add-exp-log
4×expm1-log1p-u frac-times cbrt-unprod 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
Counts
4 → 142
Calls
4 calls:
34.0ms
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
13.0ms
(cbrt (+ (* x y) (* z z)))
13.0ms
(cbrt (+ (* x y) (* z z)))
13.0ms
(cbrt (+ (* x y) (* z z)))

series507.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
119.0ms
(cbrt (+ (* x y) (* z z)))
122.0ms
(cbrt (+ (* x y) (* z z)))
122.0ms
(cbrt (+ (* x y) (* z z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03101539
112601450
250011170

prune308.0ms

Filtered
154 candidates to 86 candidates (55.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1522154
Fresh134
Picked101
Done011
Total1546160

Merged error: 0.0b

Counts
160 → 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)))

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
4139×*-un-lft-identity
2958×distribute-lft-out
1915×associate-*l*
1191×cbrt-prod
534×swap-sqr
28×associate-*r*
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
8×add-cbrt-cube
6×add-exp-log
4×expm1-log1p-u frac-times cbrt-unprod 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
Counts
4 → 736
Calls
4 calls:
91.0ms
(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
36.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
33.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
36.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
132.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
137.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
184.0ms
(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

simplify147.0ms

Algorithm
egg-herbie
Counts
748 → 748
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
033213770
1117313594
250028432

prune316.0ms

Filtered
748 candidates to 86 candidates (11.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New7453748
Fresh044
Picked011
Done011
Total7459754

Merged error: 0b

Counts
754 → 9

regimes244.0ms

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

sample558.0ms

Algorithm
intervals
Results
300.0ms12065×body80valid