Details

Time bar (total: 4.7s)

sample19.0ms

Algorithm
intervals
Results
8.0ms307×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize4.0ms

Local error

Found 1 expressions with local error:

5.3b
(* x (/ y z))

rewrite9.0ms

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:
8.0ms
(* 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

prune75.0ms

Filtered
35 candidates to 24 candidates (68.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.3b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite31.0ms

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)
26.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt z)
169.0ms
(cbrt z)
173.0ms
(cbrt z)
48.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0420720
12228581
25001542

prune255.0ms

Filtered
104 candidates to 81 candidates (77.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
7.9b
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.9b
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.9b
(cbrt (/ x (* (cbrt z) (cbrt z))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
46×cbrt-prod
39×times-frac
26×add-cube-cbrt *-un-lft-identity
22×associate-*r*
10×associate-*l*
9×add-exp-log unswap-sqr
6×pow1 add-cbrt-cube
5×cbrt-div div-inv
4×add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 105
Calls
4 calls:
20.0ms
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
3.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
3.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
3.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
367.0ms
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
161.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
146.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
140.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03561113
113041057
250011050

prune434.0ms

Filtered
117 candidates to 103 candidates (88.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (* (cbrt (/ 1 (cbrt z))) (cbrt (/ x (cbrt z)))) (/ y (cbrt z)))
3.8b
(cbrt (/ x (cbrt z)))
7.9b
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.9b
(cbrt (/ x (* (cbrt z) (cbrt z))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
42×times-frac
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×associate-*r*
16×add-exp-log
11×cbrt-div
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×frac-times associate-*l/
4×div-inv add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×cbrt-undiv div-exp
1×associate-*l* *-commutative
Counts
4 → 111
Calls
4 calls:
38.0ms
(* (* (cbrt (/ 1 (cbrt z))) (cbrt (/ x (cbrt z)))) (/ y (cbrt z)))
2.0ms
(cbrt (/ x (cbrt z)))
4.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
4.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

series825.0ms

Counts
4 → 12
Calls
4 calls:
360.0ms
(* (* (cbrt (/ 1 (cbrt z))) (cbrt (/ x (cbrt z)))) (/ y (cbrt z)))
165.0ms
(cbrt (/ x (cbrt z)))
152.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
148.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify61.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05121182
121841087
250021081

prune504.0ms

Filtered
123 candidates to 106 candidates (86.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

36.8% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 5.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample495.0ms

Algorithm
intervals
Results
261.0ms9606×body80valid