Details

Time bar (total: 2.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms322×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
082
1122
2152
3162
4162

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.5b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

7.3b
(/ (* x y) z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
5.0ms
(/ (* x y) z)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (* x y) z)

simplify85.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
011185
151470
2247170
3500170

prune52.0ms

Filtered
24 candidates to 16 candidates (66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New19524
Fresh000
Picked011
Done000
Total19625

Merged error: 0.0b

Counts
25 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b
(* x (/ y z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (/ y z))

series19.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(* x (/ y z))

simplify66.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166133
1744118
23139118
35001118

prune83.0ms

Filtered
35 candidates to 21 candidates (60.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New31435
Fresh044
Picked011
Done011
Total311041

Merged error: 0b

Counts
41 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.2b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
pow1
associate-*r*
cbrt-undiv div-exp add-log-exp
pow1/3 associate-*l*
times-frac unswap-sqr
associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
13.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series607.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt z)
180.0ms
(cbrt z)
172.0ms
(cbrt z)
76.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0301473
11336381
25001342

prune167.0ms

Filtered
75 candidates to 57 candidates (76.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh077
Picked011
Done022
Total751085

Merged error: 0b

Counts
85 → 10

localize4.0ms

Local error

Found 1 expressions with local error:

5.0b
(/ x (/ z y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/l*
pow1 frac-2neg clear-num associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
5.0ms
(/ x (/ z y))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ x (/ z y))

simplify39.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0325452
11331432
25001431

prune120.0ms

Filtered
73 candidates to 59 candidates (80.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New71273
Fresh426
Picked101
Done123
Total77683

Merged error: 0b

Counts
83 → 6

regimes158.0ms

Accuracy

94.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.1b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02414
12714
2338
3368
4428
5538
6608
7618
8618

end0.0ms

sample392.0ms

Algorithm
intervals
Results
205.0ms9613×body80valid

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