Details

Time bar (total: 3.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize14.0ms

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)))

rewrite49.0ms

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:
22.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms
(- (* (* z 2.0) z) (* y t))
18.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series310.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
40.0ms
(- (* (* z 2.0) z) (* y t))
185.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0318564
11519493
25002493

prune150.0ms

Filtered
60 candidates to 42 candidates (70.0%)
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)))

rewrite32.0ms

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))
18.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
44.0ms
(- (* 2.0 (pow z 2)) (* t y))
190.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
64.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0391883
11978774
25003773

prune281.0ms

Filtered
100 candidates to 69 candidates (69.0%)
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)

rewrite69.0ms

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:
23.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms
(- (* (* z 2.0) z) (* y t))
15.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series373.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
42.0ms
(- (* (* z 2.0) z) (* y t))
191.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
54.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04721105
12263993
25002988

prune292.0ms

Filtered
114 candidates to 84 candidates (73.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.4b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:
14.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
9.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
3.0ms
(/ (* t y) z)

series279.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
184.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
21.0ms
(/ (* t y) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0312463
11403412
25001412

prune149.0ms

Filtered
67 candidates to 47 candidates (70.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes96.0ms

Accuracy

-14.3% (2.1b remaining)

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

bsearch125.0ms

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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03515
13515

end0.0ms

sample702.0ms

Algorithm
intervals
Results
503.0ms8000×body80valid