Details

Time bar (total: 36.1s)

sample114.0ms

Algorithm
intervals
Results
30.0ms256×body80valid
25.0ms241×body80nan

simplify1.1s

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: 3.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
2.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.7b
(/ (* z (sqrt (+ t a))) t)

rewrite116.0ms

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:
23.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ 2.0 (* t 3.0))
53.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
28.0ms
(/ (* z (sqrt (+ t a))) t)

series414.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* z (sqrt (+ t a)))
29.0ms
(/ 2.0 (* t 3.0))
221.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
91.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.5s

Counts
113 → 113
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
03442616
110152408
243572288
done50002288

prune791.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(/ 2.0 (* t 3.0))
1.6b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.0b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
61×times-frac
60×frac-sub
48×*-un-lft-identity
46×associate-*r*
39×frac-times
36×add-cube-cbrt
30×add-exp-log
28×cbrt-prod sqrt-prod
27×associate-*r/
25×flip3-- flip--
23×add-cbrt-cube
21×associate-*l/
10×unswap-sqr
9×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+
7×associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in div-inv associate-/l*
2×associate--l+
1×frac-2neg pow1/3 diff-log pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 179
Calls
4 calls:
2.0ms
(cbrt t)
10.0ms
(/ 2.0 (* t 3.0))
89.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
109.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt t)
27.0ms
(/ 2.0 (* t 3.0))
151.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
346.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify894.0ms

Counts
191 → 191
Iterations

Useful iterations: done (877.0ms)

IterNodesCost
05256897
117976396
done50016074

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* c (+ a 0.8333333333333334))
0.0b
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
0.0b
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
0.2b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
16×exp-sum
15×associate-*r*
14×distribute-rgt-in distribute-lft-in
12×add-sqr-sqrt
10×*-un-lft-identity associate--l+
8×pow1 add-cube-cbrt add-cbrt-cube add-log-exp
7×add-exp-log
6×associate-*l*
5×sub-neg
2×associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×exp-prod flip3-- exp-to-pow flip3-+ diff-log flip-- flip-+ rem-exp-log distribute-lft-out
Counts
4 → 81
Calls
4 calls:
24.0ms
(* c (+ a 0.8333333333333334))
41.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
34.0ms
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
25.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series248.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* c (+ a 0.8333333333333334))
93.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
43.0ms
(exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b))))
64.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify2.2s

Counts
93 → 93
Iterations

Useful iterations: 3 (918.0ms)

IterNodesCost
01481181
13531133
29551028
335461024
done50001024

prune355.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

5.3b
(* (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a)) t)
7.2b
(- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* 2.0 (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))))
9.2b
(- (* (* (* z (sqrt (+ t a))) (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))) (* t 3.0)) (* (* t (- b c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* 2.0 (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))))))
30.8b
(/ (- (* (* (* z (sqrt (+ t a))) (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))) (* t 3.0)) (* (* t (- b c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* 2.0 (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a)))))) (* (* (* (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a)) t) 3.0) t))

rewrite2.7s

Algorithm
rewrite-expression-head
Rules
836×associate-*r/
636×associate-*l/
516×frac-sub
438×flip3-+ flip-+
352×frac-times
240×sqrt-div
163×flip3-- flip--
162×associate-/l/
20×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity add-log-exp
7×prod-exp cbrt-unprod
6×pow1 associate--r+
4×cbrt-undiv sub-neg div-exp
3×distribute-rgt-in distribute-lft-in times-frac associate-*r* associate-*l* associate-/l*
2×diff-log associate-/r/
1×frac-2neg div-sub pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
4 → 404
Calls
4 calls:
168.0ms
(* (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a)) t)
104.0ms
(- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* 2.0 (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))))
723.0ms
(- (* (* (* z (sqrt (+ t a))) (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))) (* t 3.0)) (* (* t (- b c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* 2.0 (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))))))
1.5s
(/ (- (* (* (* z (sqrt (+ t a))) (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))) (* t 3.0)) (* (* t (- b c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* 2.0 (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a)))))) (* (* (* (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a)) t) 3.0) t))

series3.2s

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a)) t)
92.0ms
(- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* 2.0 (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))))
1.3s
(- (* (* (* z (sqrt (+ t a))) (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))) (* t 3.0)) (* (* t (- b c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* 2.0 (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))))))
1.7s
(/ (- (* (* (* z (sqrt (+ t a))) (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a))) (* t 3.0)) (* (* t (- b c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* 2.0 (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a)))))) (* (* (* (+ (* (/ 5.0 6.0) (- (/ 5.0 6.0) a)) (* a a)) t) 3.0) t))

simplify2.4s

Counts
416 → 416
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0114266669
1461660295
done500159285

prune10.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes399.0ms

Accuracy

0% (2.0b remaining)

Error of 2.8b against oracle of 0.8b and baseline of 2.8b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03140
13940
done3940

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.7s8008×body80nan
1.7s8000×body80valid