Details

Time bar (total: 27.5s)

sample85.0ms

Algorithm
intervals
Results
25.0ms270×body80nan
25.0ms256×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210633
337333
4149733
done500133

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize27.0ms

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)

rewrite91.0ms

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:
22.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ 2.0 (* t 3.0))
43.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
15.0ms
(/ (* z (sqrt (+ t a))) t)

series414.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* z (sqrt (+ t a)))
26.0ms
(/ 2.0 (* t 3.0))
208.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
97.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.8s

Counts
113 → 113
Iterations

Useful iterations: 2 (810.0ms)

IterNodesCost
03442616
110152408
243572288
done50002288

prune740.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize46.0ms

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)))))

rewrite290.0ms

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:
13.0ms
(/ 2.0 (* t 3.0))
19.0ms
(/ t (sqrt (+ t a)))
29.0ms
(/ z (/ t (sqrt (+ t a))))
209.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ 2.0 (* t 3.0))
80.0ms
(/ t (sqrt (+ t a)))
91.0ms
(/ z (/ t (sqrt (+ t a))))
251.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify648.0ms

Counts
236 → 236
Iterations

Useful iterations: done (638.0ms)

IterNodesCost
04954998
113424531
done50004379

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize51.0ms

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))

rewrite215.0ms

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:
12.0ms
(/ t (sqrt (+ t a)))
19.0ms
(/ z (/ t (sqrt (+ t a))))
161.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
8.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series443.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ t (sqrt (+ t a)))
96.0ms
(/ z (/ t (sqrt (+ t a))))
234.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
19.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify687.0ms

Counts
245 → 245
Iterations

Useful iterations: done (675.0ms)

IterNodesCost
05145496
113894657
done50014514

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
519×associate-*l/
307×flip3-- flip--
284×frac-sub
244×associate-*r/
222×frac-times
84×associate-/l/
50×add-exp-log add-cbrt-cube
28×associate-*l*
27×*-un-lft-identity
24×times-frac
22×prod-exp cbrt-unprod
21×add-sqr-sqrt add-cube-cbrt
18×distribute-rgt-in distribute-lft-in
14×pow1
12×sqrt-prod
11×cbrt-undiv sub-neg div-exp
8×associate--r+
7×associate-/r/
6×pow-prod-down add-log-exp
5×associate-*r*
3×distribute-lft-out associate-/l*
2×sqrt-div *-commutative div-inv
1×frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-+ difference-of-squares
Counts
4 → 343
Calls
4 calls:
39.0ms
(* (* t 3.0) (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))))
361.0ms
(* (/ t (sqrt (+ t a))) (* (- (* (* t 3.0) (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))) (* (- a (/ 5.0 6.0)) 2.0)) (- b c)))
576.0ms
(- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) z) (* (/ t (sqrt (+ t a))) (* (- (* (* t 3.0) (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))) (* (- a (/ 5.0 6.0)) 2.0)) (- b c))))
774.0ms
(/ (- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) z) (* (/ t (sqrt (+ t a))) (* (- (* (* t 3.0) (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))) (* (- a (/ 5.0 6.0)) 2.0)) (- b c)))) (* (* (/ t (sqrt (+ t a))) (- a (/ 5.0 6.0))) (* t 3.0)))

series3.8s

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (* t 3.0) (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))))
330.0ms
(* (/ t (sqrt (+ t a))) (* (- (* (* t 3.0) (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))) (* (- a (/ 5.0 6.0)) 2.0)) (- b c)))
1.3s
(- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) z) (* (/ t (sqrt (+ t a))) (* (- (* (* t 3.0) (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))) (* (- a (/ 5.0 6.0)) 2.0)) (- b c))))
2.1s
(/ (- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) z) (* (/ t (sqrt (+ t a))) (* (- (* (* t 3.0) (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0)))) (* (- a (/ 5.0 6.0)) 2.0)) (- b c)))) (* (* (/ t (sqrt (+ t a))) (- a (/ 5.0 6.0))) (* t 3.0)))

simplify1.6s

Counts
355 → 355
Iterations

Useful iterations: done (1.5s)

IterNodesCost
089633590
1327430326
done500128750

prune4.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes808.0ms

Accuracy

0% (3.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
13533
done3533

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.9s8000×body80valid
1.5s8168×body80nan