Details

Time bar (total: 12.3s)

sample49.0ms

Algorithm
intervals
Results
20.0ms288×body80valid

simplify224.0ms

Counts
1 → 1
Iterations
IterNodes
done239
8239
7236
6216
5179
4132
382
244
119
010

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*l*
16×add-cbrt-cube add-exp-log
13×associate-*r*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv associate-/r* div-exp
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 95
Calls
2 calls:
17.0ms
(/ 2.0 (- y t))
59.0ms
(* (/ 2.0 (- y t)) (/ x z))

series258.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ 2.0 (- y t))
181.0ms
(* (/ 2.0 (- y t)) (/ x z))

simplify1.4s

Counts
101 → 101
Iterations
IterNodes
done5001
22315
1455
0159

prune473.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.2b
(* (/ (* 2.0 (* (cbrt x) (cbrt x))) (- y t)) (/ (cbrt x) z))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
32×add-sqr-sqrt
28×add-cbrt-cube
25×times-frac
24×*-un-lft-identity
22×associate-*r* add-cube-cbrt
19×cbrt-prod
14×prod-exp cbrt-unprod
11×associate-*l*
10×cbrt-undiv div-exp
6×pow1
4×add-log-exp
3×pow1/3 unswap-sqr
2×associate-/r/ div-inv
1×frac-times flip3-- pow-prod-down associate-*l/ associate-*r/ *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
108.0ms
(* (/ (* 2.0 (* (cbrt x) (cbrt x))) (- y t)) (/ (cbrt x) z))

series976.0ms

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt x)
256.0ms
(cbrt x)
268.0ms
(cbrt x)
162.0ms
(* (/ (* 2.0 (* (cbrt x) (cbrt x))) (- y t)) (/ (cbrt x) z))

simplify2.3s

Counts
109 → 109
Iterations
IterNodes
done5000
23641
1549
0171

prune581.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- y t))
5.3b
(/ (/ (* x 2.0) (- y t)) z)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
36×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
16×add-cbrt-cube add-exp-log
12×associate-/l*
10×associate-/r/
8×associate-/r*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
5×flip3-- flip--
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 91
Calls
2 calls:
24.0ms
(/ (* x 2.0) (- y t))
25.0ms
(/ (/ (* x 2.0) (- y t)) z)

series175.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (* x 2.0) (- y t))
120.0ms
(/ (/ (* x 2.0) (- y t)) z)

simplify927.0ms

Counts
97 → 97
Iterations
IterNodes
done5001
22115
1420
0165

prune452.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.1b
(/ (* x 2.0) (* (* (cbrt z) (cbrt z)) (- y t)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
21×add-cbrt-cube
9×cbrt-prod prod-exp cbrt-unprod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-undiv div-exp
4×pow1 add-log-exp
3×pow1/3
2×associate-*r/ associate-/r/
1×clear-num associate-/r* frac-2neg times-frac flip3-- div-inv flip-- associate-/l*
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
52.0ms
(/ (* x 2.0) (* (* (cbrt z) (cbrt z)) (- y t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt z)
243.0ms
(cbrt z)
268.0ms
(cbrt z)
333.0ms
(/ (* x 2.0) (* (* (cbrt z) (cbrt z)) (- y t)))

simplify820.0ms

Counts
72 → 72
Iterations
IterNodes
done5000
21886
1304
097

prune270.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes482.0ms

Accuracy

41.8% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 5.0b

bsearch154.0ms

Steps
ItersRangePoint
11
2.111034046980437e+108
8.696139269051665e+128
3.0713678177636026e+113
7
2.2161326884793377e-198
1.763745607370765e-196
4.6721919242422274e-197
9
-1.69622325399725e+117
-5.242500743936395e+109
-8.4875456040878e+116

simplify9.0ms

Iterations
IterNodes
done36
236
135
030

end0.0ms

sample1.2s

Algorithm
intervals
Results
578.0ms8699×body80valid