Details

Time bar (total: 6.7s)

sample31.0ms

Algorithm
intervals
Results
21.0ms332×body80valid

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done2001
71629
6983
5570
4240
399
242
122
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
7.6b
(/ (* x (+ (- y z) 1.0)) z)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ insert-posit16 distribute-lft-out add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 49
Calls
2 calls:
74.0ms
(* x (+ (- y z) 1.0))
39.0ms
(/ (* x (+ (- y z) 1.0)) z)

series108.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* x (+ (- y z) 1.0))
59.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify536.0ms

Counts
55 → 55
Iterations
IterNodes
done2010
2897
1268
096

prune164.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
4.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
2 → 141
Calls
2 calls:
26.0ms
(/ z (+ (- y z) 1.0))
26.0ms
(/ x (/ z (+ (- y z) 1.0)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ z (+ (- y z) 1.0))
49.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify623.0ms

Counts
147 → 147
Iterations
IterNodes
done2002
21771
1514
0202

prune481.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x z) y) (* (/ x z) 1.0))
0.0b
(- (+ (* (/ x z) y) (* (/ x z) 1.0)) x)
4.3b
(* (/ x z) y)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-cube-cbrt
10×times-frac add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1
3×associate-*r* associate-*l/ insert-posit16
2×sum-log diff-log prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-+ flip3-- div-exp pow-prod-down frac-add associate--l+ *-commutative flip-+ div-inv flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 64
Calls
3 calls:
11.0ms
(+ (* (/ x z) y) (* (/ x z) 1.0))
47.0ms
(- (+ (* (/ x z) y) (* (/ x z) 1.0)) x)
13.0ms
(* (/ x z) y)

series123.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (* (/ x z) y) (* (/ x z) 1.0))
43.0ms
(- (+ (* (/ x z) y) (* (/ x z) 1.0)) x)
24.0ms
(* (/ x z) y)

simplify660.0ms

Counts
73 → 73
Iterations
IterNodes
done2006
21246
1315
0123

prune260.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
4.6b
(* x (/ (+ (- y z) 1.0) z))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-cbrt-cube add-exp-log
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-/r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative associate-+l- flip-+
Counts
2 → 78
Calls
2 calls:
60.0ms
(/ (+ (- y z) 1.0) z)
73.0ms
(* x (/ (+ (- y z) 1.0) z))

series87.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (+ (- y z) 1.0) z)
54.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify510.0ms

Counts
84 → 84
Iterations
IterNodes
done2001
2927
1283
0109

prune234.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes171.0ms

Accuracy

87.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch78.0ms

Steps
ItersRangePoint
8
2092925529.1120393
6358870542563.699
2472351452.7513905
8
-2.6173831390621155e-79
-8.815171774111357e-82
-3.632921685862537e-81

simplify3.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample1.1s

Algorithm
intervals
Results
835.0ms10102×body80valid