Details

Time bar (total: 3.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify37.0ms

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: 15.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.7b
(- (* (* z 2.0) z) (* y t))
19.9b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite74.0ms

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:
30.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
12.0ms
(- (* (* z 2.0) z) (* y t))
32.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series319.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
38.0ms
(- (* (* z 2.0) z) (* y t))
194.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0318564
11519493
25002493

prune159.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.7b
(- (* 2.0 (pow z 2)) (* t y))
4.3b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
19.3b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log times-frac add-cbrt-cube
15×associate-*r*
9×pow1
8×add-log-exp
6×prod-exp cbrt-unprod
4×flip3-- associate-/r/ flip--
3×cbrt-undiv div-exp pow-prod-down associate-/r* associate-/l*
2×sub-neg diff-log div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
3.0ms
(- (* 2.0 (pow z 2)) (* t y))
21.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
39.0ms
(- (* 2.0 (pow z 2)) (* t y))
194.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
48.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0391883
11978774
25003773

prune277.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.7b
(- (* (* z 2.0) z) (* y t))
4.6b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.2b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite67.0ms

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:
22.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
6.0ms
(- (* (* z 2.0) z) (* y t))
18.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series373.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
38.0ms
(- (* (* z 2.0) z) (* y t))
190.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
56.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify72.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04721105
12263993
25002988

prune306.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.6b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.1b
(/ (* t y) z)

rewrite26.0ms

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:
13.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
3.0ms
(/ (* t y) z)

series271.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
177.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
24.0ms
(/ (* t y) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0312463
11403412
25001412

prune150.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes94.0ms

Accuracy

-14.3% (2.1b remaining)

Error of 2.7b against oracle of 0.5b and baseline of 2.4b

bsearch134.0ms

Steps
ItersRangePoint
10
1.6480282302546184e+245
1.7935496845449555e+258
1.7509518152818834e+246
10
8.734071036478518e+160
1.6074914794613563e+177
6.4129800116043025e+168

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03515
13515

end0.0ms

sample495.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid