Details

Time bar (total: 4.0s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.8b
(- (* (* z 2.0) z) (* y t))
18.8b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity add-log-exp
5×add-cube-cbrt
3×pow1 cbrt-undiv flip3-- times-frac div-exp prod-exp associate-/r* flip-- cbrt-unprod
2×sub-neg diff-log associate-/r/
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 51
Calls
3 calls:
54.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
17.0ms
(- (* (* z 2.0) z) (* y t))
45.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series269.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
35.0ms
(- (* (* z 2.0) z) (* y t))
159.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune135.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.5b

localize14.0ms

Local error

Found 4 expressions with local error:

4.5b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
23.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
23.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
23.3b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×add-exp-log
12×add-cbrt-cube
9×cbrt-prod flip3-- flip--
8×associate-/r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv frac-times div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
63.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
17.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
15.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
15.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series535.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
109.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
105.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
107.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04361040
11466920
25001905

prune293.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.5b

localize20.0ms

Local error

Found 4 expressions with local error:

23.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
23.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
23.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
23.3b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
15.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
17.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
15.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
16.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series438.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
113.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
109.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
108.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0172668
1500624
21867616
35001596

prune334.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.8b
(- (* (* z 2.0) z) (* y t))
3.8b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.3b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
28×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
18×add-exp-log add-cbrt-cube
16×associate-/r*
8×add-log-exp
7×cbrt-undiv div-exp
4×pow1 div-inv associate-/l*
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
1×div-sub associate-/r/ distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
40.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
19.0ms
(- (* (* z 2.0) z) (* y t))
31.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
45.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series320.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
32.0ms
(- (* (* z 2.0) z) (* y t))
163.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
48.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify60.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04721105
12263993
25002988

prune263.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.0b

regimes89.0ms

Accuracy

0% (0.7b remaining)

Error of 2.6b against oracle of 1.9b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample547.0ms

Algorithm
intervals
Results
276.0ms8000×body80valid