Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
10.0ms298×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize4.0ms

Local error

Found 1 expressions with local error:

6.2b
(* x (/ y z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×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))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* x (/ y z))

simplify66.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166133
1744118
23153118
35002118

prune84.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.4b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×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)
12.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series806.0ms

Counts
4 → 12
Calls
4 calls:
363.0ms
(cbrt z)
184.0ms
(cbrt z)
178.0ms
(cbrt z)
80.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0301473
11336381
25001342

prune222.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
1.4b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
19×add-cbrt-cube
16×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-undiv div-exp
5×associate-*r*
4×add-log-exp
3×pow1/3 associate-*l*
1×times-frac associate-*r/ pow-prod-down *-commutative div-inv unswap-sqr
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

series595.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt z)
172.0ms
(cbrt z)
173.0ms
(cbrt z)
80.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))))

simplify55.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0371769
11891596
25003573

prune238.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.4b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
8.4b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
8.4b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
8.4b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
9×add-sqr-sqrt prod-exp cbrt-unprod
6×pow1 add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×cbrt-undiv associate-*r/ div-exp add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×times-frac unswap-sqr
1×pow-prod-down *-commutative div-inv
Counts
4 → 60
Calls
4 calls:
12.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
9.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
9.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
9.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

series481.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
131.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
143.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
129.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0319812
11383677
25001639

prune302.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01918
11918

end0.0ms

sample484.0ms

Algorithm
intervals
Results
256.0ms9566×body80valid