Details

Time bar (total: 5.4s)

sample30.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify30.0ms

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.6b
(- (* (* z 2.0) z) (* y t))
23.7b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite132.0ms

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))))
25.0ms
(- (* (* z 2.0) z) (* y t))
47.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series353.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
46.0ms
(- (* (* z 2.0) z) (* y t))
204.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify47.0ms

Counts
60 → 60

prune169.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.6b
(- (* (* z 2.0) z) (* y t))
5.5b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
20.2b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite152.0ms

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:
44.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
20.0ms
(- (* (* z 2.0) z) (* y t))
39.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
45.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series416.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
45.0ms
(- (* (* z 2.0) z) (* y t))
201.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
68.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify63.0ms

Counts
114 → 114

prune325.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
0.0b
(- (* 2.0 z) (/ (* t y) z))
5.5b
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
5.5b
(/ (* t y) z)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
57×add-sqr-sqrt
50×*-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×difference-of-squares
2×sub-neg flip3-- frac-2neg diff-log clear-num flip--
1×prod-exp associate-/r/ cbrt-unprod distribute-lft-out--
Counts
4 → 119
Calls
4 calls:
34.0ms
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
10.0ms
(- (* 2.0 z) (/ (* t y) z))
24.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
10.0ms
(/ (* t y) z)

series337.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
43.0ms
(- (* 2.0 z) (/ (* t y) z))
186.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
26.0ms
(/ (* t y) z)

simplify57.0ms

Counts
131 → 131

prune390.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.3b
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
5.5b
(/ y (/ (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) 2.0))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
79×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
30×add-exp-log
23×add-cbrt-cube
22×associate-*r*
17×cbrt-prod
13×associate-/r*
10×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
7×associate-*l* div-inv
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative
Counts
4 → 151
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
49.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
14.0ms
(/ y (/ (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) 2.0))

series679.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(cbrt z)
198.0ms
(cbrt z)
50.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
220.0ms
(/ y (/ (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) 2.0))

simplify88.0ms

Counts
163 → 163

prune561.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.1b

regimes133.0ms

Accuracy

0% (1.0b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
859.0ms8000×body80valid