Details

Time bar (total: 44.8s)

sample129.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
31.0ms265×body80nan

simplify590.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize92.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.7b
(/ (* z (sqrt (+ t a))) t)

rewrite113.0ms

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)))
14.0ms
(/ 2.0 (* t 3.0))
44.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
26.0ms
(/ (* z (sqrt (+ t a))) t)

series537.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* z (sqrt (+ t a)))
28.0ms
(/ 2.0 (* t 3.0))
288.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
117.0ms
(/ (* z (sqrt (+ t a))) t)

simplify592.0ms

Counts
113 → 113

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize72.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.7b
(- (* (/ 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)))

rewrite149.0ms

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:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
62.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
74.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
327.0ms
(cbrt t)
285.0ms
(cbrt t)
342.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
164.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify951.0ms

Counts
181 → 181

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize68.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
5.8b
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
6.3b
(- (* (* (/ 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)))))
21.7b
(/ (- (* (* (/ 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))))

rewrite2.7s

Algorithm
rewrite-expression-head
Rules
1708×associate-*l/
1214×associate-*r/
1088×frac-sub
1064×frac-times
998×flip3-- flip--
492×sqrt-div
342×associate-/l/
246×flip3-+ flip-+
77×add-exp-log
68×add-cbrt-cube
45×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 → 808
Calls
4 calls:
47.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
263.0ms
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
943.0ms
(- (* (* (/ 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)))))
1.2s
(/ (- (* (* (/ 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))))

series6.7s

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
400.0ms
(* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
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)))))
3.4s
(/ (- (* (* (/ 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))))

simplify3.0s

Counts
820 → 820

prune17.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* a c) (* 0.8333333333333334 c))
0.0b
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
1.2b
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
9×associate-*r*
7×add-sqr-sqrt
6×exp-sum
5×pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×add-exp-log
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* associate--l+
2×diff-log sum-log
1×+-commutative distribute-rgt-out flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
3 → 50
Calls
3 calls:
12.0ms
(+ (* a c) (* 0.8333333333333334 c))
75.0ms
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
71.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series190.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* a c) (* 0.8333333333333334 c))
96.0ms
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
55.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify1.6s

Counts
59 → 59

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes243.0ms

Accuracy

0% (1.7b remaining)

Error of 2.8b against oracle of 1.1b and baseline of 2.8b

bsearch0.0ms

simplify482.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.6s7975×body80nan
1.3s8000×body80valid