Details

Time bar (total: 4.0s)

sample21.0ms

Algorithm
intervals
Results
10.0ms385×body80valid

simplify291.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
0166
1334
2564
3763
4883
51313
62363
73283
83433
94413
107933
1134823
1250013

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

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))

rewrite86.0ms

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:
16.0ms
(+ (* x y) (* z z))
24.0ms
(+ (+ (* x y) (* z z)) (* z z))
40.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series146.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* x y) (* z z))
52.0ms
(+ (+ (* x y) (* z z)) (* z z))
55.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify142.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
0230533
11053431
24484407
35001404

prune222.0ms

Filtered
125 candidates to 63 candidates (49.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1205125
Fresh101
Picked101
Done000
Total1225127

Merged error: 0.0b

Counts
127 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (pow z 2) (* 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 (pow z 2) (* x y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(fma 3 (pow z 2) (* x y))

simplify54.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02759
17252
224852
3102952
4500252

prune30.0ms

Filtered
13 candidates to 10 candidates (23.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh044
Picked011
Done000
Total13518

Merged error: 0.0b

Counts
18 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
3.2b
(cbrt (+ (* x y) (* z z)))
3.2b
(cbrt (+ (* x y) (* z z)))
3.2b
(cbrt (+ (* x y) (* z z)))

rewrite90.0ms

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:
35.0ms
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
14.0ms
(cbrt (+ (* x y) (* z z)))
14.0ms
(cbrt (+ (* x y) (* z z)))
17.0ms
(cbrt (+ (* x y) (* z z)))

series567.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
131.0ms
(cbrt (+ (* x y) (* z z)))
137.0ms
(cbrt (+ (* x y) (* z z)))
137.0ms
(cbrt (+ (* x y) (* z z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03031539
112201450
250011170

prune242.0ms

Filtered
154 candidates to 86 candidates (44.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1531154
Fresh033
Picked101
Done011
Total1545159

Merged error: 0.0b

Counts
159 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
3.2b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.2b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.2b
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
791×*-un-lft-identity
486×distribute-lft-out
367×associate-*l*
315×cbrt-prod
126×swap-sqr
23×add-sqr-sqrt
18×cbrt-div
16×associate-*r*
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 → 268
Calls
4 calls:
57.0ms
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
26.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
23.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
23.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series667.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
165.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
160.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))
154.0ms
(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify162.0ms

Algorithm
egg-herbie
Counts
280 → 280
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03243934
111073798
247212597
350012597

prune252.0ms

Filtered
280 candidates to 86 candidates (69.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2800280
Fresh033
Picked011
Done011
Total2805285

Merged error: 0.0b

Counts
285 → 5

regimes164.0ms

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
093
193

end0.0ms

sample584.0ms

Algorithm
intervals
Results
327.0ms12203×body80valid