Details

Time bar (total: 17.4s)

sample46.0ms

Algorithm
intervals
Results
18.0ms292×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5001
82777
71059
6442
5225
4132
372
246
124
013

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* y z) 2.0)
0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-cbrt-cube add-exp-log
7×*-un-lft-identity
5×add-sqr-sqrt add-cube-cbrt
3×pow1 associate-/r* times-frac
2×cbrt-undiv associate-+l+ sum-log sub-neg diff-log div-exp
1×+-commutative clear-num frac-2neg flip3-+ flip3-- associate-*l/ prod-exp frac-sub associate-+l- cbrt-unprod flip-+ div-inv flip-- distribute-lft-out associate-/l*
Counts
3 → 50
Calls
3 calls:
15.0ms
(/ (* y z) 2.0)
77.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
17.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series170.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* y z) 2.0)
72.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
78.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify1.1s

Counts
59 → 59
Iterations
IterNodes
done5001
21211
1289
0110

prune383.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
0.3b
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
0.4b
(/ y (sqrt 2.0))
0.5b
(/ z (sqrt 2.0))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
84×times-frac
60×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
22×associate-*r* associate-*l*
20×add-cbrt-cube add-exp-log
12×associate-/r*
9×unswap-sqr
6×pow1 cbrt-undiv div-exp associate-/l* add-log-exp
5×associate-*l/
4×prod-exp cbrt-unprod div-inv
3×frac-sub
2×frac-times clear-num frac-2neg associate-*r/
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip--
Counts
4 → 166
Calls
4 calls:
12.0ms
(- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
36.0ms
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
10.0ms
(/ y (sqrt 2.0))
10.0ms
(/ z (sqrt 2.0))

series609.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(- (* (/ 1.0 8.0) x) (* (/ y (sqrt 2.0)) (/ z (sqrt 2.0))))
186.0ms
(* (/ y (sqrt 2.0)) (/ z (sqrt 2.0)))
84.0ms
(/ y (sqrt 2.0))
76.0ms
(/ z (sqrt 2.0))

simplify2.1s

Counts
178 → 178
Iterations
IterNodes
done5001
23200
1588
0210

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))
0.3b
(* (/ y (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
0.4b
(/ y (sqrt 2.0))
1.0b
(/ 1 (sqrt (sqrt 2.0)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
181×add-sqr-sqrt
162×times-frac
156×sqrt-prod
105×add-exp-log
104×*-un-lft-identity
92×add-cube-cbrt
61×add-cbrt-cube
53×associate-*l*
42×prod-exp
36×div-exp
32×associate-*r*
28×unswap-sqr
22×cbrt-unprod
19×cbrt-undiv
15×associate-/r*
14×pow1
7×rec-exp 1-exp
6×frac-times associate-*r/ associate-/l*
5×div-inv pow-flip
4×sqrt-pow1 pow-prod-down associate-*l/ add-log-exp
2×clear-num frac-2neg pow1/2 *-commutative
1×inv-pow
Counts
4 → 280
Calls
4 calls:
59.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))
77.0ms
(* (/ y (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
5.0ms
(/ y (sqrt 2.0))
7.0ms
(/ 1 (sqrt (sqrt 2.0)))

series314.0ms

Counts
4 → 10
Calls
4 calls:
71.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))
161.0ms
(* (/ y (sqrt 2.0)) (* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
81.0ms
(/ y (sqrt 2.0))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify1.0s

Counts
290 → 290
Iterations
IterNodes
done5001
1937
0302

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ y (cbrt (sqrt 2.0)))) (* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
0.5b
(* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ y (cbrt (sqrt 2.0))))
1.0b
(/ 1 (sqrt (sqrt 2.0)))
1.0b
(/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

rewrite459.0ms

Algorithm
rewrite-expression-head
Rules
823×add-exp-log
458×prod-exp
276×div-exp
189×add-cbrt-cube
112×cbrt-unprod
78×add-sqr-sqrt
77×times-frac
73×cbrt-undiv rec-exp 1-exp
53×*-un-lft-identity
49×add-cube-cbrt
48×sqrt-prod
32×associate-*r*
29×pow1
24×cbrt-prod
18×frac-times
14×pow-flip
12×associate-*l/ associate-*r/ unswap-sqr
11×pow-prod-down
10×associate-/r*
8×associate-*l*
6×pow1/3 associate-/l*
4×sqrt-pow1 div-inv add-log-exp
2×clear-num frac-2neg pow1/2 pow-sqr *-commutative pow-prod-up inv-pow
1×pow2 pow-plus
Counts
4 → 375
Calls
4 calls:
312.0ms
(* (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ y (cbrt (sqrt 2.0)))) (* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
86.0ms
(* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ y (cbrt (sqrt 2.0))))
13.0ms
(/ 1 (sqrt (sqrt 2.0)))
23.0ms
(/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series236.0ms

Counts
4 → 8
Calls
4 calls:
150.0ms
(* (* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ y (cbrt (sqrt 2.0)))) (* (/ 1 (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))))
85.0ms
(* (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ y (cbrt (sqrt 2.0))))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))
0.0ms
(/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify2.2s

Counts
383 → 383
Iterations
IterNodes
done5000
11860
0477

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes512.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample1.1s

Algorithm
intervals
Results
563.0ms9127×body80valid
0.0ms1×body1280valid