Details

Time bar (total: 3.3s)

sample18.0ms

Algorithm
intervals
Results
8.0ms301×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize4.0ms

Local error

Found 1 expressions with local error:

3.3b
(* x (/ y z))

rewrite8.0ms

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:
7.0ms
(* x (/ y z))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* x (/ y z))

simplify68.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166133
1744118
23153118
35002118

prune78.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

3.3b
(* x (/ y z))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1
associate-*r/ add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
7.0ms
(* x (/ y z))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (/ y z))
85.0ms
(cbrt (* x (/ y z)))
83.0ms
(cbrt (* x (/ y z)))
84.0ms
(cbrt (* x (/ y z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0230358
1937310
23854283
35002283

prune209.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity pow1/3 associate-*r/ add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series523.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(cbrt (* x (/ y z)))
277.0ms
(cbrt (* x (/ y z)))
84.0ms
(cbrt (* x (/ y z)))
81.0ms
(cbrt (* x (/ y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
089300
1207272
2673252
32532220
45001220

prune180.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.8b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
pow-prod-down
add-log-exp
cbrt-undiv pow1/3 div-exp
associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
50.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series585.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt y)
175.0ms
(cbrt y)
177.0ms
(cbrt y)
44.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify60.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0356579
12031443
25002404

prune234.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes203.0ms

Accuracy

72.1% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 6.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02613
1298
2328
3328

end0.0ms

sample480.0ms

Algorithm
intervals
Results
253.0ms9564×body80valid