Details

Time bar (total: 3.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify42.0ms

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: 11.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.9b
(- (* (* z 2.0) z) (* y t))
17.0b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite45.0ms

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:
21.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
6.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series328.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
41.0ms
(- (* (* z 2.0) z) (* y t))
199.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0318564
11519493
25002493

prune156.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.9b
(- (* (* z 2.0) z) (* y t))
5.6b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.2b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite68.0ms

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)))
6.0ms
(- (* (* z 2.0) z) (* y t))
14.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
21.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series370.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
43.0ms
(- (* (* z 2.0) z) (* y t))
190.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
52.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04721105
12263993
25002988

prune314.0ms

Filtered
114 candidates to 84 candidates (73.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
0.0b
(- (* z 2.0) (/ (* t y) z))
4.8b
(/ (* t y) z)
5.6b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt add-log-exp
6×times-frac associate-/r*
4×pow1 cbrt-undiv div-exp
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num associate-/r/ cbrt-unprod div-inv associate-/l*
1×distribute-lft-out-- difference-of-squares
Counts
4 → 70
Calls
4 calls:
12.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
3.0ms
(- (* z 2.0) (/ (* t y) z))
3.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series308.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
38.0ms
(- (* z 2.0) (/ (* t y) z))
24.0ms
(/ (* t y) z)
174.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0334566
11494506
25001506

prune210.0ms

Filtered
82 candidates to 57 candidates (69.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
0.0b
(- (* z 2.0) (/ t (/ z y)))
5.6b
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))
6.5b
(/ t (/ z y))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
50×add-sqr-sqrt *-un-lft-identity
48×add-cube-cbrt
16×associate-/r*
14×add-exp-log add-cbrt-cube
8×add-log-exp
6×div-inv
5×cbrt-undiv div-exp
4×pow1 associate-/l*
3×flip3-- associate-/r/ flip--
2×sub-neg frac-2neg diff-log clear-num
1×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 119
Calls
4 calls:
35.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
10.0ms
(- (* z 2.0) (/ t (/ z y)))
21.0ms
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))
5.0ms
(/ t (/ z y))

series313.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
44.0ms
(- (* z 2.0) (/ t (/ z y)))
175.0ms
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))
21.0ms
(/ t (/ z y))

simplify61.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0551933
12386868
25001867

prune357.0ms

Filtered
131 candidates to 102 candidates (77.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

regimes119.0ms

Accuracy

0% (1.7b remaining)

Error of 2.2b against oracle of 0.5b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample542.0ms

Algorithm
intervals
Results
323.0ms8000×body80valid