Details

Time bar (total: 11.3s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 6 (889.0ms)

IterNodesCost
01317
12517
25917
313217
435317
575115
6265913
done500013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 2.0 (- (/ (* z 2.0) y) (/ t z))))
0.0b
(- (/ (* z 2.0) y) (/ t z))
0.4b
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
26×*-un-lft-identity
24×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
3×pow1 flip3-- associate-/r/ flip-- associate-/l*
2×sub-neg diff-log frac-sub
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 73
Calls
3 calls:
38.0ms
(- x (/ 2.0 (- (/ (* z 2.0) y) (/ t z))))
12.0ms
(- (/ (* z 2.0) y) (/ t z))
20.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

series286.0ms

Counts
3 → 9
Calls
3 calls:
232.0ms
(- x (/ 2.0 (- (/ (* z 2.0) y) (/ t z))))
29.0ms
(- (/ (* z 2.0) y) (/ t z))
25.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

simplify733.0ms

Counts
82 → 82
Iterations

Useful iterations: done (726.0ms)

IterNodesCost
01311458
12671401
26631335
318281333
done50021332

prune192.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.0b
(- x (/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))))
0.4b
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
0.6b
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
588×times-frac
514×add-sqr-sqrt
342×*-un-lft-identity
275×sqrt-prod
240×add-cube-cbrt
107×difference-of-squares
51×distribute-lft-out--
46×associate-/r*
12×associate-/l*
11×add-exp-log add-cbrt-cube
9×div-inv
8×add-log-exp
4×pow1 cbrt-undiv div-exp
3×flip3-- flip-- associate-/l/
2×sub-neg frac-2neg diff-log clear-num frac-sub
1×div-sub associate-/r/
Counts
4 → 401
Calls
4 calls:
12.0ms
(- (/ (* z 2.0) y) (/ t z))
98.0ms
(- x (/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))))
37.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
31.0ms
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (/ (* z 2.0) y) (/ t z))
96.0ms
(- x (/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))))
136.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
108.0ms
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

simplify2.2s

Counts
413 → 413
Iterations

Useful iterations: 2 (1.5s)

IterNodesCost
044112110
1101011243
2390710497
done500010497

prune649.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt (sqrt 2.0)))
0.2b
(* (/ 1 (sqrt (sqrt 2.0))) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt (sqrt 2.0))))
0.6b
(/ (sqrt 2.0) (* (/ 1 (sqrt (sqrt 2.0))) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt (sqrt 2.0)))))
1.0b
(/ 1 (sqrt (sqrt 2.0)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
292×add-sqr-sqrt
232×times-frac
231×sqrt-prod
158×*-un-lft-identity
108×add-cube-cbrt
64×add-exp-log
58×associate-*r*
38×add-cbrt-cube difference-of-squares
31×associate-*l*
28×div-exp unswap-sqr
19×associate-/r* distribute-lft-out--
16×prod-exp
15×cbrt-undiv associate-/l*
9×pow1
8×cbrt-unprod
5×rec-exp pow-flip 1-exp div-inv
4×sqrt-pow1 add-log-exp
3×frac-2neg clear-num associate-/r/ associate-/l/
2×frac-times pow1/2 associate-*r/ associate-*l/
1×flip3-- div-sub pow-prod-down *-commutative frac-sub flip-- inv-pow
Counts
4 → 325
Calls
4 calls:
34.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt (sqrt 2.0)))
91.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt (sqrt 2.0))))
26.0ms
(/ (sqrt 2.0) (* (/ 1 (sqrt (sqrt 2.0))) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt (sqrt 2.0)))))
4.0ms
(/ 1 (sqrt (sqrt 2.0)))

series456.0ms

Counts
4 → 10
Calls
4 calls:
214.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt (sqrt 2.0)))
135.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt (sqrt 2.0))))
106.0ms
(/ (sqrt 2.0) (* (/ 1 (sqrt (sqrt 2.0))) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt (sqrt 2.0)))))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify1.0s

Counts
335 → 335
Iterations

Useful iterations: done (1.0s)

IterNodesCost
03357827
19367043
228606103
done50006036

prune653.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.3b
(* (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))))
0.5b
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))
1.0b
(* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
161×add-sqr-sqrt
106×sqrt-prod
88×times-frac
84×*-un-lft-identity
56×add-cube-cbrt
52×associate-*l*
32×pow1 sqrt-pow1
28×difference-of-squares
20×add-exp-log add-cbrt-cube
16×pow1/2
15×swap-sqr
14×distribute-lft-out--
12×unswap-sqr
10×associate-*r*
9×pow-prod-up
8×pow-prod-down
7×prod-exp cbrt-unprod
6×associate-/r* associate-/r/ associate-/l* add-log-exp
5×pow-sqr
3×cbrt-undiv flip3-- div-exp frac-sub flip--
2×*-commutative div-inv
1×pow2 sub-neg frac-2neg pow-plus sqrt-unprod diff-log associate-*l/ clear-num rem-square-sqrt
Counts
4 → 220
Calls
4 calls:
12.0ms
(- (/ (* z 2.0) y) (/ t z))
76.0ms
(* (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))))
21.0ms
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))
12.0ms
(* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))

series197.0ms

Counts
4 → 10
Calls
4 calls:
31.0ms
(- (/ (* z 2.0) y) (/ t z))
107.0ms
(* (/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))))
59.0ms
(/ (sqrt 2.0) (- (/ (* z 2.0) y) (/ t z)))
0.0ms
(* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))

simplify614.0ms

Counts
230 → 230
Iterations

Useful iterations: 2 (207.0ms)

IterNodesCost
02344195
15363102
218122883
done50002883

prune485.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11213
done1213

end0.0ms

sample501.0ms

Algorithm
intervals
Results
305.0ms8000×body80valid