Details

Time bar (total: 33.1s)

sample187.0ms

Algorithm
intervals
Results
70.0ms256×body80valid
43.0ms270×body80nan

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02833
15033
210633
337333
4149733
done500133

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.2b
(/ (* z (sqrt (+ t a))) t)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
30.0ms
(* z (sqrt (+ t a)))
9.0ms
(/ 2.0 (* t 3.0))
37.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
16.0ms
(/ (* z (sqrt (+ t a))) t)

series501.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* z (sqrt (+ t a)))
20.0ms
(/ 2.0 (* t 3.0))
263.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
129.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.6s

Counts
113 → 113
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
03442616
110152408
243572288
done50002288

prune982.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
0.4b
(/ t (sqrt (+ t a)))
1.9b
(/ z (/ t (sqrt (+ t a))))
2.6b
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
189×times-frac
138×*-un-lft-identity
106×add-sqr-sqrt add-cube-cbrt
64×sqrt-prod
35×associate-/r*
20×frac-sub
16×add-exp-log add-cbrt-cube distribute-lft-out
11×associate-/r/
10×sqrt-div
9×flip3-- flip-- associate-/l*
8×frac-times flip3-+ flip-+
7×div-inv
6×cbrt-undiv div-exp associate--r+ add-log-exp
4×pow1 associate-*r/
3×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num
2×associate-*l/ associate--l+
1×diff-log prod-exp cbrt-unprod
Counts
4 → 224
Calls
4 calls:
8.0ms
(/ 2.0 (* t 3.0))
13.0ms
(/ t (sqrt (+ t a)))
29.0ms
(/ z (/ t (sqrt (+ t a))))
210.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ 2.0 (* t 3.0))
95.0ms
(/ t (sqrt (+ t a)))
107.0ms
(/ z (/ t (sqrt (+ t a))))
291.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify870.0ms

Counts
236 → 236
Iterations

Useful iterations: done (853.0ms)

IterNodesCost
04954998
113424531
done50004379

prune2.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize65.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ t (sqrt (+ t a)))
1.9b
(/ z (/ t (sqrt (+ t a))))
2.6b
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
39.2b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite334.0ms

Algorithm
rewrite-expression-head
Rules
192×times-frac
141×*-un-lft-identity
109×add-sqr-sqrt add-cube-cbrt
64×sqrt-prod
34×associate-/r*
20×cbrt-prod frac-sub
16×distribute-lft-out
11×add-exp-log associate-/r/ add-cbrt-cube
10×sqrt-div
9×flip3-- flip--
8×frac-times flip3-+ flip-+ div-inv
7×cube-div unpow-prod-down cbrt-div cube-prod
6×associate-/l* associate--r+ add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp
3×distribute-rgt-in sub-neg distribute-lft-in
2×frac-2neg associate-*l/ associate--l+ clear-num
1×cube-mult pow1/3 diff-log unpow3 rem-cbrt-cube sqr-pow
Counts
4 → 233
Calls
4 calls:
27.0ms
(/ t (sqrt (+ t a)))
38.0ms
(/ z (/ t (sqrt (+ t a))))
236.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
7.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series571.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(/ t (sqrt (+ t a)))
120.0ms
(/ z (/ t (sqrt (+ t a))))
305.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
21.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify861.0ms

Counts
245 → 245
Iterations

Useful iterations: done (851.0ms)

IterNodesCost
05145496
113894657
done50014514

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
5.2b
(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
5.5b
(- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
23.9b
(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite3.0s

Algorithm
rewrite-expression-head
Rules
436×associate-*l/
326×associate-*r/
307×flip3-- flip--
284×frac-sub
222×frac-times
84×associate-/l/
50×add-exp-log add-cbrt-cube
31×associate-*l*
27×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt prod-exp cbrt-unprod
16×distribute-rgt-in distribute-lft-in
14×pow1
12×cbrt-undiv div-exp sqrt-prod
9×sub-neg
8×associate--r+
7×associate-/r/
6×pow-prod-down add-log-exp
3×distribute-lft-out associate-/l*
2×sqrt-div associate-*r* *-commutative div-inv
1×frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-+ difference-of-squares
Counts
4 → 339
Calls
4 calls:
77.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
683.0ms
(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
927.0ms
(- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
1.2s
(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series3.5s

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
395.0ms
(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
1.3s
(- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
1.7s
(/ (- (* z (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify1.7s

Counts
351 → 351
Iterations

Useful iterations: done (1.6s)

IterNodesCost
088133298
1320630032
done500028218

prune5.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes439.0ms

Accuracy

0% (3.1b remaining)

Error of 3.4b against oracle of 0.4b and baseline of 3.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
13533
done3533

end0.0ms

sample5.2s

Algorithm
intervals
Results
1.9s8168×body80nan
1.8s8000×body80valid