Details

Time bar (total: 3.7s)

sample15.0ms

Algorithm
intervals
Results
6.0ms307×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
1122
2152
3162
4162

prune2.0ms

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)

rewrite5.0ms

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:
5.0ms
(/ (* x y) z)

series20.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011185
151470
2247170
3500170

prune48.0ms

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)))

rewrite22.0ms

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:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series762.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
348.0ms
(cbrt z)
177.0ms
(cbrt z)
52.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0420720
12228581
25001542

prune235.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
18.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt z)
177.0ms
(cbrt z)
176.0ms
(cbrt z)
47.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))

simplify76.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
04751157
12802962
25001937

prune304.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))
10.1b
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
10.1b
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
10.1b
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))

rewrite55.0ms

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
9×cbrt-div
7×associate-*l*
6×pow1
4×frac-times associate-*r/ associate-*l/ add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 96
Calls
4 calls:
18.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))
11.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
11.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
11.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z)))
87.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
87.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))
87.0ms
(cbrt (* (/ x (* (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) (cbrt z))) (/ y (cbrt z))))

simplify71.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05241745
128001480
250011472

prune390.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes245.0ms

Accuracy

94% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02314
12314

end0.0ms

sample363.0ms

Algorithm
intervals
Results
174.0ms9645×body80valid