Details

Time bar (total: 4.4s)

sample15.0ms

Algorithm
intervals
Results
6.0ms307×body80valid

simplify12.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
3.0ms
(/ (* x y) z)

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (* x y) z)

simplify71.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
011391
151676
2247376
3500276

prune59.0ms

Filtered
26 candidates to 18 candidates (69.2%)
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)))

rewrite34.0ms

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)
1.0ms
(cbrt z)
29.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series614.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
184.0ms
(cbrt z)
190.0ms
(cbrt z)
55.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0424748
12233609
25001570

prune301.0ms

Filtered
112 candidates to 89 candidates (79.5%)
Pruning

8 alts after pruning (7 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)
4.9b
(* (/ x (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

rewrite64.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 101
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
59.0ms
(* (/ x (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

series618.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt z)
187.0ms
(cbrt z)
190.0ms
(cbrt z)
54.0ms
(* (/ x (* (cbrt z) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))))) (/ y (cbrt z)))

simplify89.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
04831215
128201026
25003998

prune366.0ms

Filtered
113 candidates to 87 candidates (77.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))))

rewrite105.0ms

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×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×div-inv unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 159
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
31.0ms
(* (/ (cbrt x) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (/ y (cbrt z)))
64.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (/ y (cbrt z))))

series590.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt x)
186.0ms
(cbrt x)
188.0ms
(* (/ (cbrt x) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (/ y (cbrt z)))
24.0ms
(* (/ (* (cbrt x) (cbrt x)) (cbrt z)) (* (/ (cbrt x) (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z)))) (/ y (cbrt z))))

simplify141.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
08302807
143072132
250032000

prune478.0ms

Filtered
171 candidates to 104 candidates (60.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes303.0ms

Accuracy

87.1% (0.3b remaining)

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

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02314
12314

end0.0ms

sample376.0ms

Algorithm
intervals
Results
180.0ms9645×body80valid