Details

Time bar (total: 4.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms307×body80valid

simplify83.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

5.3b
(* 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 expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
7.0ms
(* x (/ y z))

series20.0ms

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

simplify68.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0168139
1746124
23155124
35002124

prune84.0ms

Filtered
37 candidates to 26 candidates (70.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite29.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
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)))

series585.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt z)
176.0ms
(cbrt z)
172.0ms
(cbrt z)
53.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0424748
12233609
25001570

prune303.0ms

Filtered
112 candidates to 89 candidates (79.5%)
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))))

rewrite30.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 113
Calls
4 calls:
16.0ms
(* (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))))

series816.0ms

Counts
4 → 12
Calls
4 calls:
372.0ms
(* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
145.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
150.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
149.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03601167
113081111
250011104

prune456.0ms

Filtered
125 candidates to 111 candidates (88.8%)
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))))

rewrite50.0ms

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×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×cbrt-undiv div-exp
1×associate-*l* *-commutative
Counts
4 → 119
Calls
4 calls:
37.0ms
(* (* (cbrt (/ 1 (cbrt z))) (cbrt (/ x (cbrt z)))) (/ y (cbrt z)))
2.0ms
(cbrt (/ x (cbrt z)))
3.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
3.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

series846.0ms

Counts
4 → 12
Calls
4 calls:
365.0ms
(* (* (cbrt (/ 1 (cbrt z))) (cbrt (/ x (cbrt z)))) (/ y (cbrt z)))
182.0ms
(cbrt (/ x (cbrt z)))
152.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
147.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify64.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05181236
121911141
250011135

prune595.0ms

Filtered
131 candidates to 114 candidates (87.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

36.8% (3.3b remaining)

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

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02918
13118
23118

end0.0ms

sample495.0ms

Algorithm
intervals
Results
258.0ms9606×body80valid