Details

Time bar (total: 4.3s)

sample18.0ms

Algorithm
intervals
Results
8.0ms307×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
082
1122
2152
3162
4162

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize4.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (* x y) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
3.0ms
(/ (* x y) z)

series19.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011185
151470
2247170
3500170

prune48.0ms

Filtered
24 candidates to 16 candidates (66.7%)
Pruning

8 alts after pruning (7 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)
4.9b
(* (/ 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×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)))

series625.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt z)
192.0ms
(cbrt z)
187.0ms
(cbrt z)
52.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0420720
12228581
25001542

prune429.0ms

Filtered
104 candidates to 81 candidates (77.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.9b
(* (/ x (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
30×add-sqr-sqrt
24×add-cbrt-cube
23×times-frac
22×add-cube-cbrt *-un-lft-identity associate-*r*
19×cbrt-prod
14×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 93
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
53.0ms
(* (/ x (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

series679.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(cbrt z)
179.0ms
(cbrt z)
181.0ms
(cbrt z)
56.0ms
(* (/ x (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

simplify104.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
04791175
12816986
25001958

prune317.0ms

Filtered
105 candidates to 79 candidates (75.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (cbrt x) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (/ y (cbrt z)))
2.5b
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (/ y (cbrt z))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
133×add-exp-log
61×add-cbrt-cube
60×prod-exp cbrt-unprod
42×cbrt-undiv div-exp
33×add-sqr-sqrt
32×times-frac
25×add-cube-cbrt *-un-lft-identity
23×associate-*r*
22×cbrt-prod
20×associate-*l*
11×pow1
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ add-log-exp
3×div-inv unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 151
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
31.0ms
(* (/ (cbrt x) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (/ y (cbrt z)))
62.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (/ y (cbrt z))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
170.0ms
(cbrt x)
177.0ms
(* (/ (cbrt x) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (/ y (cbrt z)))
34.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (/ y (cbrt z))))

simplify115.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
08222735
142952060
250011928

prune375.0ms

Filtered
163 candidates to 96 candidates (58.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes285.0ms

Accuracy

87.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02314
12314

end0.0ms

sample354.0ms

Algorithm
intervals
Results
174.0ms9645×body80valid