Details

Time bar (total: 3.7s)

sample20.0ms

Algorithm
intervals
Results
8.0ms298×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune8.0ms

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:
6.0ms
(* x (/ y z))

series20.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166133
1744118
23153118
35002118

prune76.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite16.0ms

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)
11.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series612.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt z)
176.0ms
(cbrt z)
177.0ms
(cbrt z)
80.0ms
(* 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

prune213.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize21.0ms

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 (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))))

rewrite20.0ms

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)
14.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt z)
178.0ms
(cbrt z)
176.0ms
(cbrt z)
82.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))))

simplify59.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0377775
11959602
25001579

prune256.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize19.0ms

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)))))

rewrite43.0ms

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))))
13.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
8.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
8.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

series493.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
132.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
143.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
138.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0319812
11383677
25001639

prune265.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes192.0ms

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

sample487.0ms

Algorithm
intervals
Results
259.0ms9566×body80valid