Details

Time bar (total: 3.9s)

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.2b
(- (* (* z 2.0) z) (* y t))
20.1b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite129.0ms

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:
59.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
19.0ms
(- (* (* z 2.0) z) (* y t))
50.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series316.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
42.0ms
(- (* (* z 2.0) z) (* y t))
185.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune137.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.7b

localize18.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
22.9b
(cbrt (- (* (* z 2.0) z) (* y t)))
22.9b
(cbrt (- (* (* z 2.0) z) (* y t)))
22.9b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite121.0ms

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:
69.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
16.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
16.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
17.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
125.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
125.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
125.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04361040
11466920
25001905

prune285.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.2b
(- (* (* z 2.0) z) (* y t))
6.0b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
15.8b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite142.0ms

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:
42.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
18.0ms
(- (* (* z 2.0) z) (* y t))
35.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
43.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series376.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
41.0ms
(- (* (* z 2.0) z) (* y t))
185.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
56.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04721105
12263993
25002988

prune283.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
3.8b
(/ (* t y) z)
6.0b
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×times-frac associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×flip3-- frac-2neg prod-exp clear-num associate-/r/ flip-- cbrt-unprod div-inv associate-/l*
1×sub-neg diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
31.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
10.0ms
(/ (* t y) z)
22.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

series269.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
20.0ms
(/ (* t y) z)
172.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0312463
11403412
25001412

prune136.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

regimes156.0ms

Accuracy

33.9% (1.4b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.7b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03323
13323

end0.0ms

sample568.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid