Details

Time bar (total: 31.5s)

sample403.0ms

Algorithm
intervals
Results
170.0ms1284×body80nan
65.0ms393×body80valid
10.0ms16×body640valid
7.0ms16×body320valid
3.0ms9×body160valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (495.0ms)

IterNodesCost
01718
13018
25818
312718
431117
5101017
done500017

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b
(* y (- (log z) t))
0.5b
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.3b
(log (- 1.0 z))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
24×add-sqr-sqrt
23×*-un-lft-identity
22×associate--l+
17×distribute-rgt-in distribute-lft-in
14×add-cube-cbrt associate-+r+
10×associate-+l+ associate-*r/
9×add-log-exp
8×pow1
7×add-exp-log
6×sub-neg flip3-- associate-*r* add-cbrt-cube flip--
5×distribute-lft-out--
4×frac-add difference-of-squares
3×exp-prod associate-*l*
2×log-div sum-log log-pow rem-exp-log
1×+-commutative flip3-+ rem-log-exp exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 101
Calls
4 calls:
45.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
27.0ms
(* y (- (log z) t))
36.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.0ms
(log (- 1.0 z))

series507.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
78.0ms
(* y (- (log z) t))
204.0ms
(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
45.0ms
(log (- 1.0 z))

simplify1.1s

Counts
113 → 113
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02571795
16311715
219981590
done50001562

prune494.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.1b
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.2b
(* y (- (log z) t))
0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
28×associate--l+
21×add-sqr-sqrt
18×log-prod *-un-lft-identity
17×distribute-rgt-in distribute-lft-in
15×add-cube-cbrt
14×associate-+r+
10×associate-+l+ associate-*r/ associate-*r*
9×pow1 add-log-exp
8×sub-neg add-cbrt-cube
7×add-exp-log
6×associate-*l*
5×flip3-- flip--
4×frac-add
3×exp-prod
2×exp-sum pow-prod-down prod-exp sum-log *-commutative cbrt-unprod rem-exp-log distribute-lft-out-- unswap-sqr
1×+-commutative flip3-+ log-pow flip-+ difference-of-squares
Counts
4 → 104
Calls
4 calls:
621.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
250.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
38.0ms
(* y (- (log z) t))
180.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series1.1s

Counts
4 → 12
Calls
4 calls:
382.0ms
(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
239.0ms
(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
116.0ms
(* y (- (log z) t))
357.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.1s

Counts
116 → 116
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02513211
16473136
221922873
done50002797

prune851.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.1b
(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.2b
(* y (- (log z) t))
0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
28×associate--l+
26×add-sqr-sqrt
20×*-un-lft-identity
18×log-prod
17×distribute-rgt-in add-cube-cbrt distribute-lft-in
14×associate-+r+ associate-*r*
13×add-exp-log
10×associate-+l+ associate-*r/
8×pow1 sub-neg add-cbrt-cube
7×unpow-prod-down
6×associate-*l* add-log-exp
5×flip3-- prod-exp flip--
4×frac-add pow-exp unswap-sqr
3×pow-unpow sqr-pow
2×unpow-prod-up pow-to-exp e-exp-1 *-commutative cbrt-unprod distribute-lft-out--
1×+-commutative pow-pow flip3-+ pow-prod-down sum-log log-pow flip-+ difference-of-squares
Counts
4 → 118
Calls
4 calls:
557.0ms
(* x (pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
195.0ms
(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
33.0ms
(* y (- (log z) t))
230.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series1.1s

Counts
4 → 12
Calls
4 calls:
399.0ms
(* x (pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
266.0ms
(pow E (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
109.0ms
(* y (- (log z) t))
341.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.2s

Counts
130 → 130
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02753945
17063707
223413495
done50003416

prune865.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (- (log z) t))
0.2b
(* y (- (log z) t))
0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
0.5b
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite512.0ms

Algorithm
rewrite-expression-head
Rules
56×associate--l+
36×log-prod
34×distribute-rgt-in distribute-lft-in
28×add-sqr-sqrt associate-+r+
26×*-un-lft-identity
20×add-cube-cbrt associate-+l+ associate-*r/
16×sub-neg
12×associate-*r*
10×pow1 flip3-- flip--
8×add-exp-log frac-add add-cbrt-cube add-log-exp
6×associate-*l*
4×distribute-lft-out--
2×+-commutative flip3-+ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
4 → 144
Calls
4 calls:
28.0ms
(* y (- (log z) t))
30.0ms
(* y (- (log z) t))
218.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
223.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series849.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* y (- (log z) t))
89.0ms
(* y (- (log z) t))
292.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))
388.0ms
(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify899.0ms

Counts
156 → 156
Iterations

Useful iterations: done (893.0ms)

IterNodesCost
01953860
14953728
216563556
done50023412

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes416.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02865
13765
23965
done3965

end0.0ms

sample14.4s

Algorithm
intervals
Results
6.5s41215×body80nan
2.9s12563×body80valid
249.0ms402×body640valid
164.0ms418×body320valid
109.0ms76×body1280valid
66.0ms267×body160valid