Details

Time bar (total: 3.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms310×body80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize4.0ms

Local error

Found 1 expressions with local error:

4.3b
(* 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

prune74.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.4b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite28.0ms

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:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
24.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series608.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt z)
185.0ms
(cbrt z)
181.0ms
(cbrt z)
53.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify63.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0420720
12228581
25001542

prune267.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.7b
(* (cbrt x) (/ y z))
2.8b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
25×add-sqr-sqrt
18×pow1 add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
14×associate-*r*
11×cbrt-prod times-frac
9×pow-prod-down
7×associate-*l*
4×add-log-exp unswap-sqr
3×cbrt-undiv associate-*r/ div-exp
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 86
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
9.0ms
(* (cbrt x) (/ y z))
21.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
183.0ms
(cbrt x)
109.0ms
(* (cbrt x) (/ y z))
40.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0314546
11410432
25002400

prune216.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.4b
(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (/ y z)))
2.8b
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (/ y z))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
90×add-exp-log
60×prod-exp cbrt-unprod
57×pow1
46×add-cbrt-cube
39×pow-prod-down
18×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-undiv div-exp
5×associate-*r/
4×add-log-exp
2×pow1/3 associate-*r* associate-*l* *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
27.0ms
(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (/ y z)))
87.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (/ y z))))

series659.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt (cbrt x))
251.0ms
(cbrt (cbrt x))
109.0ms
(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (/ y z)))
43.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (/ y z))))

simplify69.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
04201446
11914905
25001609

prune200.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

59.9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02111
1247
2277
3277

end0.0ms

sample553.0ms

Algorithm
intervals
Results
288.0ms9716×body80valid