Details

Time bar (total: 26.8s)

sample190.0ms

Algorithm
intervals
Results
63.0ms241×body80nan
48.0ms256×body80valid

simplify39.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize37.0ms

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)

rewrite175.0ms

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:
50.0ms
(* z (sqrt (+ t a)))
17.0ms
(/ 2.0 (* t 3.0))
59.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
42.0ms
(/ (* z (sqrt (+ t a))) t)

series510.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* z (sqrt (+ t a)))
35.0ms
(/ 2.0 (* t 3.0))
246.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
139.0ms
(/ (* z (sqrt (+ t a))) t)

simplify125.0ms

Counts
113 → 113

prune984.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(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)))))

rewrite202.0ms

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)
16.0ms
(/ 2.0 (* t 3.0))
101.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
61.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series820.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(cbrt t)
32.0ms
(/ 2.0 (* t 3.0))
161.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
324.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify88.0ms

Counts
191 → 191

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize100.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
5.3b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
6.2b
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
24.5b
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (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) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
469×associate-*l/
467×associate-*r/
320×frac-sub
306×flip3-- flip--
202×frac-times
102×associate-/l/
74×add-exp-log
65×add-cbrt-cube
42×prod-exp cbrt-unprod
30×pow1
18×pow-prod-down
10×cbrt-undiv div-exp
8×distribute-rgt-in distribute-lft-in associate--r+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×sub-neg associate-*l*
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 → 316
Calls
4 calls:
176.0ms
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
45.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
762.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
1.1s
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (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) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series7.0s

Counts
4 → 12
Calls
4 calls:
412.0ms
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
64.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
3.1s
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
3.3s
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (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) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify316.0ms

Counts
328 → 328

prune5.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (exp (* 2.0 (- (+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c)) (* 1.0 (* a b))))))
0.0b
(+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c))
0.0b
(exp (* 2.0 (- (+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c)) (* 1.0 (* a b)))))
0.2b
(- (+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c)) (* 1.0 (* a b)))

rewrite457.0ms

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:
131.0ms
(* y (exp (* 2.0 (- (+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c)) (* 1.0 (* a b))))))
34.0ms
(+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c))
102.0ms
(exp (* 2.0 (- (+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c)) (* 1.0 (* a b)))))
186.0ms
(- (+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c)) (* 1.0 (* a b)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* y (exp (* 2.0 (- (+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c)) (* 1.0 (* a b))))))
68.0ms
(+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c))
92.0ms
(exp (* 2.0 (- (+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c)) (* 1.0 (* a b)))))
72.0ms
(- (+ (* 1.0 (* a c)) (* (/ 7505999378950827.0 9007199254740992.0) c)) (* 1.0 (* a b)))

simplify65.0ms

Counts
77 → 77

prune347.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes408.0ms

Accuracy

0% (2.1b remaining)

Error of 2.8b against oracle of 0.7b and baseline of 2.8b

bsearch0.0ms

simplify37.0ms

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.7s8000×body80valid
1.7s8008×body80nan