Details

Time bar (total: 43.5s)

sample185.0ms

Algorithm
intervals
Results
69.0ms256×body80valid
39.0ms241×body80nan

simplify982.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02833
15033
210633
337433
4178933
done500133

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.9b
(/ (* z (sqrt (+ t a))) t)

rewrite122.0ms

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:
37.0ms
(* z (sqrt (+ t a)))
12.0ms
(/ 2.0 (* t 3.0))
48.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
21.0ms
(/ (* z (sqrt (+ t a))) t)

series512.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* z (sqrt (+ t a)))
33.0ms
(/ 2.0 (* t 3.0))
275.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
123.0ms
(/ (* z (sqrt (+ t a))) t)

simplify613.0ms

Counts
113 → 113
Iterations

Useful iterations: done (608.0ms)

IterNodesCost
03442616
110392408
done50012304

prune895.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.8b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
78.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
115.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt t)
300.0ms
(cbrt t)
335.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
187.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify1.1s

Counts
181 → 181
Iterations

Useful iterations: done (1.1s)

IterNodesCost
04866783
118556317
done50025987

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize96.0ms

Local error

Found 4 expressions with local error:

4.0b
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
5.6b
(* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a)))
5.6b
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
24.2b
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite2.9s

Algorithm
rewrite-expression-head
Rules
1707×associate-*l/
1216×associate-*r/
1088×frac-sub
1066×frac-times
997×flip3-- flip--
496×sqrt-div
342×associate-/l/
248×flip3-+ flip-+
81×add-exp-log
70×add-cbrt-cube
46×prod-exp cbrt-unprod
27×pow1
18×add-sqr-sqrt
16×pow-prod-down
12×cbrt-undiv *-un-lft-identity div-exp
10×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in times-frac associate-*r* associate-*l* associate--r+
6×sqrt-prod add-log-exp
5×sub-neg
4×unswap-sqr
3×associate-/l*
2×associate-/r/ *-commutative div-inv
1×frac-2neg diff-log div-sub clear-num associate-/r* distribute-lft-out
Counts
4 → 825
Calls
4 calls:
304.0ms
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
80.0ms
(* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a)))
786.0ms
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
1.5s
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series6.5s

Counts
4 → 12
Calls
4 calls:
358.0ms
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
394.0ms
(* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a)))
2.8s
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
3.0s
(/ (- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (cbrt t) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (cbrt t) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify1.3s

Counts
837 → 837
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02227103574
done500093610

prune18.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize31.0ms

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
(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
1.7b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
15×associate-*r*
10×add-cbrt-cube
9×add-exp-log times-frac
8×pow1 distribute-rgt-in distribute-lft-in exp-sum
6×associate-*l* associate--l+ add-log-exp
3×sub-neg associate-/r* associate-/l*
2×flip3-+ associate-*r/ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv flip3-- frac-2neg diff-log div-exp clear-num flip-- div-inv distribute-lft-out
Counts
4 → 92
Calls
4 calls:
19.0ms
(* c (+ a 0.8333333333333334))
41.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
9.0ms
(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
17.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series336.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* c (+ a 0.8333333333333334))
101.0ms
(* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))
140.0ms
(/ x (+ x (* y (exp (* 2.0 (- (* c (+ a 0.8333333333333334)) (* a b)))))))
51.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify781.0ms

Counts
104 → 104
Iterations

Useful iterations: done (776.0ms)

IterNodesCost
01811748
14581669
216331535
done50011531

prune372.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes258.0ms

Accuracy

0% (2.0b remaining)

Error of 2.7b against oracle of 0.7b and baseline of 2.7b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03140
13940
done3940

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.9s8000×body80valid
1.2s7969×body80nan