Details

Time bar (total: 26.3s)

sample52.0ms

Algorithm
intervals
Results
25.0ms343×body80valid

simplify5.2s

Counts
1 → 1
Iterations
IterNodes
done5002
82925
71629
6983
5570
4240
399
242
122
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize58.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite396.0ms

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:
277.0ms
(* x (+ (- y z) 1.0))
113.0ms
(/ (* x (+ (- y z) 1.0)) z)

series160.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* x (+ (- y z) 1.0))
101.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.8s

Counts
55 → 55
Iterations
IterNodes
done5003
2993
1274
096

prune654.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize71.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.9b
(/ x (/ z (+ (- y z) 1.0)))

rewrite264.0ms

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:
119.0ms
(/ z (+ (- y z) 1.0))
113.0ms
(/ x (/ z (+ (- y z) 1.0)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ z (+ (- y z) 1.0))
86.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify3.8s

Counts
147 → 147
Iterations
IterNodes
done5001
21780
1513
0202

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* (/ x z) y) (* (/ x z) 1.0)) x)
0.0b
(+ (* (/ x z) y) (* (/ x z) 1.0))
3.6b
(* (/ x z) y)

rewrite259.0ms

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:
180.0ms
(- (+ (* (/ x z) y) (* (/ x z) 1.0)) x)
38.0ms
(+ (* (/ x z) y) (* (/ x z) 1.0))
37.0ms
(* (/ x z) y)

series218.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(- (+ (* (/ x z) y) (* (/ x z) 1.0)) x)
109.0ms
(+ (* (/ x z) y) (* (/ x z) 1.0))
33.0ms
(* (/ x z) y)

simplify2.6s

Counts
73 → 73
Iterations
IterNodes
done5001
21250
1314
0123

prune856.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize80.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
0.1b
(* z (/ 1 (+ (- y z) 1.0)))
2.9b
(/ x (* z (/ 1 (+ (- y z) 1.0))))

rewrite467.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
35×times-frac
32×add-sqr-sqrt
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
14×distribute-lft-out
11×div-exp
8×prod-exp
7×distribute-lft-out--
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* insert-posit16 div-inv add-log-exp unswap-sqr
2×clear-num frac-2neg flip3-+ associate-*r/ un-div-inv flip-+
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
3 → 115
Calls
3 calls:
114.0ms
(/ 1 (+ (- y z) 1.0))
244.0ms
(* z (/ 1 (+ (- y z) 1.0)))
97.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

series177.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ 1 (+ (- y z) 1.0))
62.0ms
(* z (/ 1 (+ (- y z) 1.0)))
61.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

simplify3.0s

Counts
124 → 124
Iterations
IterNodes
done5002
21357
1386
0154

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes552.0ms

Accuracy

85.3% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.7b

bsearch163.0ms

Steps
ItersRangePoint
9
3.626859992345971e-115
1.4068564513083133e-108
4.0170515075320604e-115
9
-7.148907694333694e-135
-3.2474282444669577e-142
-7.814855256918435e-142

simplify18.0ms

Iterations
IterNodes
done32
132
021

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s10096×body80valid