Details

Time bar (total: 6.0s)

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
17110
218410
338110
468210
5110210
6212210
7433710
8500110
done500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
4.0b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.4b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×pow1
5×associate-/r*
4×associate-*l* frac-add
3×associate-*r* associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
20.0ms
(* (+ t y) a)
16.0ms
(+ (* (+ x y) z) (* (+ t y) a))
71.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
152.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series781.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (+ t y) a)
51.0ms
(+ (* (+ x y) z) (* (+ t y) a))
105.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
602.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify59.0ms

Counts
102 → 102
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05201087
123081025
250031025
done50031025

prune321.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ (+ x t) y))
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
4.0b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.4b
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite379.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
32×times-frac
31×add-sqr-sqrt
24×add-cube-cbrt
21×associate-*r* distribute-lft-out
17×add-exp-log
11×add-cbrt-cube add-log-exp
10×associate-*l/
7×pow1 flip3-+ flip-+
5×associate-/r*
4×div-exp frac-add prod-exp associate-/r/
3×flip3-- associate-*l* flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp diff-log 1-exp sum-log cbrt-unprod div-inv
1×+-commutative sub-neg pow-flip frac-2neg associate-*r/ pow-prod-down associate--l+ clear-num un-div-inv *-commutative inv-pow
Counts
4 → 118
Calls
4 calls:
33.0ms
(/ 1 (+ (+ x t) y))
13.0ms
(+ (* (+ x y) z) (* (+ t y) a))
68.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
259.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series797.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ 1 (+ (+ x t) y))
54.0ms
(+ (* (+ x y) z) (* (+ t y) a))
103.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
587.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify65.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05621271
127681148
250021106
done50021106

prune300.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
4.0b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.4b
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
138×times-frac
72×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
24×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube add-log-exp
8×div-exp associate-*l/ associate-/l*
6×flip3-- flip3-+ flip-- flip-+ div-inv
5×pow1
4×cbrt-undiv frac-add
2×rec-exp frac-2neg diff-log 1-exp clear-num sum-log associate-/l/
1×+-commutative sub-neg pow-flip associate--l+ inv-pow
Counts
4 → 176
Calls
4 calls:
104.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
14.0ms
(+ (* (+ x y) z) (* (+ t y) a))
69.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
123.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series855.0ms

Counts
4 → 12
Calls
4 calls:
589.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
51.0ms
(+ (* (+ x y) z) (* (+ t y) a))
103.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
111.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify87.0ms

Counts
188 → 188
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07033190
133552979
250022861
done50022861

prune362.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.7b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.7b

regimes536.0ms

Accuracy

85.5% (3.4b remaining)

Error of 8.0b against oracle of 4.5b and baseline of 28.1b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04334
14334
done4334

end0.0ms

sample710.0ms

Algorithm
intervals
Results
328.0ms7997×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid