Details

Time bar (total: 30.0s)

sample124.0ms

Algorithm
intervals
Results
39.0ms228×body80nan
29.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02833
15033
210633
337433
4178933
done500133

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
2.3b
(/ (* z (sqrt (+ t a))) t)
2.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite87.0ms

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)))
10.0ms
(/ 2.0 (* t 3.0))
15.0ms
(/ (* z (sqrt (+ t a))) t)
35.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* z (sqrt (+ t a)))
21.0ms
(/ 2.0 (* t 3.0))
92.0ms
(/ (* z (sqrt (+ t a))) t)
251.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify519.0ms

Counts
113 → 113
Iterations

Useful iterations: done (515.0ms)

IterNodesCost
03442616
110392408
done50002304

prune873.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ t a)) t)
0.2b
(/ 2.0 (* t 3.0))
0.7b
(* z (/ (sqrt (+ t a)) t))
2.6b
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
47×times-frac
45×add-sqr-sqrt
37×add-cube-cbrt
29×sqrt-prod
25×associate-*r*
20×frac-sub
19×associate-*r/
16×add-exp-log add-cbrt-cube
10×associate-/l*
9×flip3-- flip--
8×frac-times
7×distribute-lft-out
6×pow1 associate--r+ add-log-exp
4×cbrt-undiv flip3-+ div-exp associate-/r* flip-+
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod div-inv unswap-sqr
2×frac-2neg sqrt-div associate-*l/ associate--l+ clear-num associate-/l/
1×diff-log pow-prod-down *-commutative
Counts
4 → 143
Calls
4 calls:
24.0ms
(/ (sqrt (+ t a)) t)
14.0ms
(/ 2.0 (* t 3.0))
34.0ms
(* z (/ (sqrt (+ t a)) t))
65.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series520.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (sqrt (+ t a)) t)
27.0ms
(/ 2.0 (* t 3.0))
124.0ms
(* z (/ (sqrt (+ t a)) t))
271.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify494.0ms

Counts
155 → 155
Iterations

Useful iterations: done (482.0ms)

IterNodesCost
03753183
111062924
done50012804

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize75.0ms

Local error

Found 4 expressions with local error:

4.6b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
5.2b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
6.6b
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
25.6b
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×sqrt-div
162×associate-/l/
120×flip3-+ flip-+
28×add-exp-log add-cbrt-cube
16×distribute-rgt-in distribute-lft-in
14×pow1
12×prod-exp cbrt-unprod
9×sub-neg
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate--r+
7×associate-*l*
6×pow-prod-down add-log-exp
4×cbrt-undiv div-exp
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 437
Calls
4 calls:
429.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
41.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
604.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
782.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

series2.2s

Counts
4 → 12
Calls
4 calls:
252.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
61.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
848.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
1.1s
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify2.6s

Counts
449 → 449
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0115350141
1464545263
done500043835

prune9.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp (* 2.0 (- (+ (* 1.0 (* a c)) (* 0.8333333333333334 c)) (* 1.0 (* a b))))))
0.0b
(+ (* 1.0 (* a c)) (* 0.8333333333333334 c))
0.0b
(exp (* 2.0 (- (+ (* 1.0 (* a c)) (* 0.8333333333333334 c)) (* 1.0 (* a b)))))
0.9b
(- (+ (* 1.0 (* a c)) (* 0.8333333333333334 c)) (* 1.0 (* a b)))

rewrite416.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
12×exp-sum
9×associate-*r*
8×add-sqr-sqrt
6×pow1 distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in add-cbrt-cube
5×add-exp-log sub-neg associate--l+
3×associate-*l*
2×diff-log sum-log
1×+-commutative exp-prod flip3-- exp-to-pow flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ rem-exp-log unswap-sqr
Counts
4 → 65
Calls
4 calls:
124.0ms
(* y (exp (* 2.0 (- (+ (* 1.0 (* a c)) (* 0.8333333333333334 c)) (* 1.0 (* a b))))))
34.0ms
(+ (* 1.0 (* a c)) (* 0.8333333333333334 c))
91.0ms
(exp (* 2.0 (- (+ (* 1.0 (* a c)) (* 0.8333333333333334 c)) (* 1.0 (* a b)))))
164.0ms
(- (+ (* 1.0 (* a c)) (* 0.8333333333333334 c)) (* 1.0 (* a b)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* y (exp (* 2.0 (- (+ (* 1.0 (* a c)) (* 0.8333333333333334 c)) (* 1.0 (* a b))))))
74.0ms
(+ (* 1.0 (* a c)) (* 0.8333333333333334 c))
63.0ms
(exp (* 2.0 (- (+ (* 1.0 (* a c)) (* 0.8333333333333334 c)) (* 1.0 (* a b)))))
96.0ms
(- (+ (* 1.0 (* a c)) (* 0.8333333333333334 c)) (* 1.0 (* a b)))

simplify880.0ms

Counts
77 → 77
Iterations

Useful iterations: done (878.0ms)

IterNodesCost
01131544
13011504
211291211
done50001109

prune347.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes484.0ms

Accuracy

11.1% (2.8b remaining)

Error of 3.0b against oracle of 0.2b and baseline of 3.4b

bsearch659.0ms

Steps
ItersRangePoint
9
1.0124648081919762e-146
1.9945374432331347e-141
1.0295809730426031e-146
9
-3.550074072383049e-35
-1.2819114283964393e-42
-1.3338041435380844e-42

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
054141
176109
done76109

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.0s8000×body80valid
1.9s7890×body80nan