Details

Time bar (total: 18.3s)

sample29.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify1.4s

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (/ (* (/ t z) y) 2.0))
0.2b
(/ (* (/ t z) y) 2.0)
5.0b
(/ y (- z (/ (* (/ t z) y) 2.0)))
7.1b
(* (/ t z) y)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
34×*-un-lft-identity
28×times-frac
24×add-cube-cbrt
20×add-cbrt-cube add-exp-log
13×associate-*l*
8×associate-/r*
6×pow1 cbrt-undiv div-exp add-log-exp
5×distribute-lft-out-- difference-of-squares
4×prod-exp cbrt-unprod associate-/l*
3×associate-*r* div-inv
2×clear-num frac-2neg flip3-- associate-*l/ associate-/r/ flip-- unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative associate-/l/
Counts
4 → 107
Calls
4 calls:
9.0ms
(- z (/ (* (/ t z) y) 2.0))
10.0ms
(/ (* (/ t z) y) 2.0)
12.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))
11.0ms
(* (/ t z) y)

series325.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- z (/ (* (/ t z) y) 2.0))
34.0ms
(/ (* (/ t z) y) 2.0)
219.0ms
(/ y (- z (/ (* (/ t z) y) 2.0)))
26.0ms
(* (/ t z) y)

simplify1.3s

Counts
119 → 119
Iterations
IterNodes
done5001
21331
1410
0172

prune641.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ t z) (sqrt 2.0))
0.4b
(/ y (sqrt 2.0))
5.0b
(/ y (- z (* (/ (/ t z) (sqrt 2.0)) (/ y (sqrt 2.0)))))
7.2b
(* (/ (/ t z) (sqrt 2.0)) (/ y (sqrt 2.0)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
346×times-frac
244×add-sqr-sqrt
186×*-un-lft-identity add-cube-cbrt
113×sqrt-prod
82×associate-*l*
34×add-cbrt-cube add-exp-log
22×associate-*r*
19×associate-/l*
18×div-inv
15×associate-/r* unswap-sqr
14×cbrt-undiv div-exp
6×pow1 prod-exp cbrt-unprod
4×add-log-exp
3×clear-num frac-2neg
2×associate-/r/
1×frac-times flip3-- pow-prod-down associate-*l/ associate-*r/ *-commutative flip-- associate-/l/
Counts
4 → 323
Calls
4 calls:
10.0ms
(/ (/ t z) (sqrt 2.0))
5.0ms
(/ y (sqrt 2.0))
7.0ms
(/ y (- z (* (/ (/ t z) (sqrt 2.0)) (/ y (sqrt 2.0)))))
90.0ms
(* (/ (/ t z) (sqrt 2.0)) (/ y (sqrt 2.0)))

series1.0s

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (/ t z) (sqrt 2.0))
84.0ms
(/ y (sqrt 2.0))
606.0ms
(/ y (- z (* (/ (/ t z) (sqrt 2.0)) (/ y (sqrt 2.0)))))
258.0ms
(* (/ (/ t z) (sqrt 2.0)) (/ y (sqrt 2.0)))

simplify1.9s

Counts
335 → 335
Iterations
IterNodes
done5001
23957
11103
0387

prune2.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (/ (/ (* t y) z) 2.0))
0.2b
(/ (/ (* t y) z) 2.0)
5.0b
(/ y (- z (/ (/ (* t y) z) 2.0)))
5.1b
(/ (* t y) z)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
59×times-frac
58×add-sqr-sqrt
43×*-un-lft-identity
33×add-cube-cbrt
20×add-cbrt-cube add-exp-log
12×associate-/r*
11×associate-/l*
10×difference-of-squares
8×cbrt-undiv div-exp
7×div-inv
6×add-log-exp
5×distribute-lft-out--
4×pow1
3×clear-num frac-2neg
2×flip3-- prod-exp associate-/r/ cbrt-unprod flip--
1×sub-neg diff-log associate-/l/
Counts
4 → 125
Calls
4 calls:
13.0ms
(- z (/ (/ (* t y) z) 2.0))
10.0ms
(/ (/ (* t y) z) 2.0)
46.0ms
(/ y (- z (/ (/ (* t y) z) 2.0)))
13.0ms
(/ (* t y) z)

series394.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- z (/ (/ (* t y) z) 2.0))
33.0ms
(/ (/ (* t y) z) 2.0)
253.0ms
(/ y (- z (/ (/ (* t y) z) 2.0)))
34.0ms
(/ (* t y) z)

simplify1.6s

Counts
137 → 137
Iterations
IterNodes
done5000
21601
1468
0201

prune852.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize90.0ms

Local error

Found 4 expressions with local error:

7.2b
(* (/ t z) (/ y (sqrt 2.0)))
7.2b
(* (/ t z) (/ y (sqrt 2.0)))
7.2b
(* (/ t z) (/ y (sqrt 2.0)))
25.3b
(cbrt (* (* (/ y (- z (/ (* (/ t z) (/ y (sqrt 2.0))) (sqrt 2.0)))) (/ y (- z (/ (* (/ t z) (/ y (sqrt 2.0))) (sqrt 2.0))))) (/ y (- z (/ (* (/ t z) (/ y (sqrt 2.0))) (sqrt 2.0))))))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
121×add-sqr-sqrt
102×times-frac
66×associate-*r*
64×*-un-lft-identity add-cube-cbrt
40×add-cbrt-cube add-exp-log
39×associate-*l*
33×sqrt-prod
18×unswap-sqr
12×cbrt-undiv div-exp prod-exp cbrt-unprod
10×pow1
8×frac-times associate-*l/
7×cbrt-div
6×associate-*r/ div-inv
4×add-log-exp
3×pow-prod-down *-commutative
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 200
Calls
4 calls:
23.0ms
(* (/ t z) (/ y (sqrt 2.0)))
29.0ms
(* (/ t z) (/ y (sqrt 2.0)))
22.0ms
(* (/ t z) (/ y (sqrt 2.0)))
159.0ms
(cbrt (* (* (/ y (- z (/ (* (/ t z) (/ y (sqrt 2.0))) (sqrt 2.0)))) (/ y (- z (/ (* (/ t z) (/ y (sqrt 2.0))) (sqrt 2.0))))) (/ y (- z (/ (* (/ t z) (/ y (sqrt 2.0))) (sqrt 2.0))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
140.0ms
(* (/ t z) (/ y (sqrt 2.0)))
148.0ms
(* (/ t z) (/ y (sqrt 2.0)))
134.0ms
(* (/ t z) (/ y (sqrt 2.0)))
695.0ms
(cbrt (* (* (/ y (- z (/ (* (/ t z) (/ y (sqrt 2.0))) (sqrt 2.0)))) (/ y (- z (/ (* (/ t z) (/ y (sqrt 2.0))) (sqrt 2.0))))) (/ y (- z (/ (* (/ t z) (/ y (sqrt 2.0))) (sqrt 2.0))))))

simplify1.5s

Counts
212 → 212
Iterations
IterNodes
done5000
21309
1432
0164

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes573.0ms

Accuracy

0% (0.6b remaining)

Error of 1.2b against oracle of 0.5b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8000×body80valid