Details

Time bar (total: 4.2s)

sample15.0ms

Algorithm
intervals
Results
5.0ms311×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
082
1122
2152
3162
4162

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize4.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (* x y) z)

rewrite10.0ms

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:
9.0ms
(/ (* x y) z)

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(/ (* x y) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011391
151676
2247376
3500276

prune50.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))
3.6b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
33×cbrt-prod
29×add-cube-cbrt *-un-lft-identity
28×times-frac associate-*r*
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 129
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
11.0ms
(* (cbrt z) (cbrt z))
44.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt z)
165.0ms
(cbrt z)
179.0ms
(* (cbrt z) (cbrt z))
46.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify87.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
0489884
12850720
25001669

prune283.0ms

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 (* (cbrt z) (cbrt z)))
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (* (cbrt z) (cbrt z)))
3.6b
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z)))) (cbrt (* (cbrt z) (cbrt z))))) (/ y (cbrt z)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
27×add-sqr-sqrt
24×add-cbrt-cube
23×times-frac
22×associate-*r*
19×add-cube-cbrt *-un-lft-identity
14×prod-exp cbrt-unprod
13×cbrt-prod
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 → 95
Calls
4 calls:
5.0ms
(cbrt (* (cbrt z) (cbrt z)))
5.0ms
(cbrt (* (cbrt z) (cbrt z)))
5.0ms
(cbrt (* (cbrt z) (cbrt z)))
156.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z)))) (cbrt (* (cbrt z) (cbrt z))))) (/ y (cbrt z)))

series893.0ms

Counts
4 → 12
Calls
4 calls:
353.0ms
(cbrt (* (cbrt z) (cbrt z)))
250.0ms
(cbrt (* (cbrt z) (cbrt z)))
243.0ms
(cbrt (* (cbrt z) (cbrt z)))
46.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z)))) (cbrt (* (cbrt z) (cbrt z))))) (/ y (cbrt z)))

simplify74.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
04901650
125881061
25001916

prune259.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.0b
(* (/ (* x (cbrt y)) (cbrt 1)) (/ (cbrt y) (* (cbrt z) (cbrt z))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
19×add-sqr-sqrt add-cbrt-cube
16×cbrt-prod
15×prod-exp cbrt-unprod
14×times-frac
13×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv div-exp
10×associate-*r* 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 → 94
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
49.0ms
(* (/ (* x (cbrt y)) (cbrt 1)) (/ (cbrt y) (* (cbrt z) (cbrt z))))

series577.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt y)
166.0ms
(cbrt y)
165.0ms
(cbrt y)
73.0ms
(* (/ (* x (cbrt y)) (cbrt 1)) (/ (cbrt y) (* (cbrt z) (cbrt z))))

simplify54.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0441854
12009701
25002651

prune295.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

-18.8% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02013
12013

end0.0ms

sample424.0ms

Algorithm
intervals
Results
166.0ms9636×body80valid