Details

Time bar (total: 7.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms305×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log associate-*l/ frac-sub add-cbrt-cube flip--
Counts
1 → 13
Calls
1 calls:
6.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0113124
1385113
21527113
35002113

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×associate-*l/
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 97
Calls
4 calls:
41.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
7.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
232.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
236.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
294.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify135.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03301647
110671554
248591466
350011466

prune370.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.6b
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.6b
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.6b
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
21×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 associate-*l/ frac-sub add-cbrt-cube flip-- add-log-exp
Counts
4 → 65
Calls
4 calls:
5.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
9.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
5.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
6.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
308.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
314.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
320.0ms
(cbrt (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify68.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
02621005
1691947
22354938
35001927

prune372.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
13.8b
(/ (* (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))) (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))) (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
25.8b
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))
25.8b
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
508×associate-*l/
310×cbrt-div
292×frac-times
243×frac-sub
176×associate-*r/
143×associate-/l/
27×flip3-- flip--
16×add-exp-log
15×associate-/r/
8×cbrt-prod flip3-+ frac-add add-cbrt-cube flip-+
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 247
Calls
4 calls:
25.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
96.0ms
(/ (* (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))) (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))) (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
22.0ms
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))
23.0ms
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))

series752.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
296.0ms
(/ (* (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))) (cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))) (* (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))))
176.0ms
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))
173.0ms
(cbrt (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))))

simplify126.0ms

Algorithm
egg-herbie
Counts
259 → 259
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
08836755
126526237
250016210

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample518.0ms

Algorithm
intervals
Results
293.0ms9215×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid