Details

Time bar (total: 19.1s)

sample29.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5004
61775
5497
4205
3109
250
125
013

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (/ (* (/ t z) y) 2.0))
0.0b
(- x (/ y (- z (/ (* (/ t z) y) 2.0))))
3.9b
(/ y (- z (/ (* (/ t z) y) 2.0)))
7.3b
(* (/ t z) y)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
34×*-un-lft-identity
26×times-frac
22×add-cube-cbrt
13×associate-*l*
11×add-cbrt-cube add-exp-log
8×add-log-exp
7×difference-of-squares
6×pow1 distribute-lft-out--
5×associate-/r*
4×insert-posit16
3×flip3-- associate-*r* flip-- associate-/l*
2×cbrt-undiv sub-neg diff-log div-exp prod-exp associate-/r/ cbrt-unprod div-inv unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative
Counts
4 → 102
Calls
4 calls:
8.0ms
(- z (/ (* (/ t z) y) 2.0))
26.0ms
(- x (/ y (- z (/ (* (/ t z) y) 2.0))))
18.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))
19.0ms
(* (/ t z) y)

series382.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- z (/ (* (/ t z) y) 2.0))
79.0ms
(- x (/ y (- z (/ (* (/ t z) y) 2.0))))
222.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))
34.0ms
(* (/ t z) y)

simplify2.9s

Counts
114 → 114
Iterations
IterNodes
done5020
34932
21147
1390
0171

prune533.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize63.0ms

Local error

Found 4 expressions with local error:

7.3b
(* (/ t z) y)
16.6b
(cbrt (/ y (- z (/ (* (/ t z) y) 2.0))))
16.6b
(cbrt (/ y (- z (/ (* (/ t z) y) 2.0))))
16.6b
(cbrt (/ y (- z (/ (* (/ t z) y) 2.0))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
62×add-sqr-sqrt
57×*-un-lft-identity
55×times-frac
39×add-cube-cbrt
13×associate-*l*
9×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
6×pow1 associate-/r/
4×insert-posit16 div-inv add-log-exp
3×cbrt-div flip3-- pow1/3 associate-*r* flip--
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 126
Calls
4 calls:
15.0ms
(* (/ t z) y)
8.0ms
(cbrt (/ y (- z (/ (* (/ t z) y) 2.0))))
18.0ms
(cbrt (/ y (- z (/ (* (/ t z) y) 2.0))))
15.0ms
(cbrt (/ y (- z (/ (* (/ t z) y) 2.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (/ t z) y)
389.0ms
(cbrt (/ y (- z (/ (* (/ t z) y) 2.0))))
406.0ms
(cbrt (/ y (- z (/ (* (/ t z) y) 2.0))))
410.0ms
(cbrt (/ y (- z (/ (* (/ t z) y) 2.0))))

simplify3.4s

Counts
138 → 138
Iterations
IterNodes
done5004
34922
21227
1462
0227

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
2.5b
(* (/ (* (cbrt t) (cbrt t)) 1) (* (/ (cbrt t) z) y))
2.5b
(* (/ (cbrt t) z) y)
3.9b
(/ y (- z (/ (* (/ (* (cbrt t) (cbrt t)) 1) (* (/ (cbrt t) z) y)) 2.0)))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
47×add-sqr-sqrt
39×*-un-lft-identity
38×times-frac
37×add-cbrt-cube
33×prod-exp
31×add-cube-cbrt
29×associate-*l*
20×cbrt-unprod
19×div-exp
13×cbrt-prod
11×pow1 cbrt-undiv
6×1-exp
5×associate-/r*
4×associate-*r* pow-prod-down associate-*l/ insert-posit16 distribute-lft-out-- add-log-exp difference-of-squares
3×div-inv associate-/l* unswap-sqr
2×associate-/r/ *-commutative
1×frac-times clear-num frac-2neg flip3-- pow1/3 associate-*r/ flip--
Counts
4 → 139
Calls
4 calls:
2.0ms
(cbrt t)
94.0ms
(* (/ (* (cbrt t) (cbrt t)) 1) (* (/ (cbrt t) z) y))
32.0ms
(* (/ (cbrt t) z) y)
30.0ms
(/ y (- z (/ (* (/ (* (cbrt t) (cbrt t)) 1) (* (/ (cbrt t) z) y)) 2.0)))

series834.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt t)
75.0ms
(* (/ (* (cbrt t) (cbrt t)) 1) (* (/ (cbrt t) z) y))
153.0ms
(* (/ (cbrt t) z) y)
301.0ms
(/ y (- z (/ (* (/ (* (cbrt t) (cbrt t)) 1) (* (/ (cbrt t) z) y)) 2.0)))

simplify2.0s

Counts
151 → 151
Iterations
IterNodes
done5001
21833
1607
0230

prune738.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.4b
(- (* (* z 2.0) z) (* y t))
18.9b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
12×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity add-log-exp
5×add-cube-cbrt
3×pow1 cbrt-undiv associate-/r* times-frac flip3-- div-exp prod-exp cbrt-unprod insert-posit16 flip--
2×sub-neg diff-log associate-/r/
1×clear-num frac-2neg div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 54
Calls
3 calls:
64.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
32.0ms
(- (* (* z 2.0) z) (* y t))
71.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series479.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
73.0ms
(- (* (* z 2.0) z) (* y t))
281.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify1.4s

Counts
63 → 63
Iterations
IterNodes
done5000
21256
1327
0117

prune326.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid