Details

Time bar (total: 2.0s)

sample15.0ms

Algorithm
intervals
Results
5.0ms298×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
1122
2152
3162
4162

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize4.0ms

Local error

Found 1 expressions with local error:

4.2b
(/ (* x y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
9.0ms
(/ (* x y) z)

series20.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
011185
151470
2247170
3500170

prune39.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.5b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
40.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
169.0ms
(cbrt z)
183.0ms
(cbrt z)
47.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0420720
12228581
25001542

prune239.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.3b
(* (* x y) (/ 1 z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×associate-*r/ associate-*l* un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
22.0ms
(* (* x y) (/ 1 z))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* (* x y) (/ 1 z))

simplify33.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0244183
11259141
25001127

prune51.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (/ z (* x y)))
4.0b
(/ z (* x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×prod-exp
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 77
Calls
2 calls:
14.0ms
(/ 1 (/ z (* x y)))
7.0ms
(/ z (* x y))

series41.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ 1 (/ z (* x y)))
18.0ms
(/ z (* x y))

simplify35.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0268407
11264342
25002297

prune79.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

66.8% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 6.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12714

end0.0ms

sample426.0ms

Algorithm
intervals
Results
164.0ms9583×body80valid