Details

Time bar (total: 8.8s)

sample28.0ms

Algorithm
intervals
Results
13.0ms325×body80valid

simplify813.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
51323
4372
3113
244
122
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
11.2b
(/ (* x (+ (- y z) 1.0)) z)

rewrite134.0ms

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-+ 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 → 47
Calls
2 calls:
90.0ms
(* x (+ (- y z) 1.0))
43.0ms
(/ (* x (+ (- y z) 1.0)) z)

series95.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* x (+ (- y z) 1.0))
51.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify997.0ms

Counts
53 → 53
Iterations
IterNodes
done5001
21245
1272
094

prune261.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite73.0ms

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 add-log-exp
Counts
2 → 139
Calls
2 calls:
28.0ms
(/ z (+ (- y z) 1.0))
37.0ms
(/ x (/ z (+ (- y z) 1.0)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ z (+ (- y z) 1.0))
56.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.3s

Counts
145 → 145
Iterations
IterNodes
done5001
22565
1522
0200

prune605.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite202.0ms

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 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 → 76
Calls
2 calls:
94.0ms
(/ (+ (- y z) 1.0) z)
104.0ms
(* x (/ (+ (- y z) 1.0) z))

series91.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (+ (- y z) 1.0) z)
54.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify965.0ms

Counts
82 → 82
Iterations
IterNodes
done5000
21284
1285
0107

prune350.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
57×add-sqr-sqrt
47×times-frac
24×distribute-lft-out--
23×add-cube-cbrt
15×associate-*r*
12×difference-of-squares
7×add-cbrt-cube add-exp-log
5×pow1 div-inv associate-/l* add-log-exp
4×div-sub associate-*r/
3×distribute-rgt-in associate-/r* sub-neg distribute-lft-in flip3-- associate-*l* flip-- associate--r-
2×distribute-rgt-out-- frac-sub sub-div associate-/l/
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 105
Calls
3 calls:
13.0ms
(/ (- z 1.0) z)
37.0ms
(- (/ y z) (/ (- z 1.0) z))
120.0ms
(* x (- (/ y z) (/ (- z 1.0) z)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(/ (- z 1.0) z)
29.0ms
(- (/ y z) (/ (- z 1.0) z))
48.0ms
(* x (- (/ y z) (/ (- z 1.0) z)))

simplify934.0ms

Counts
114 → 114
Iterations
IterNodes
done5001
21554
1422
0164

prune471.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes199.0ms

Accuracy

97.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.1b

bsearch56.0ms

Steps
ItersRangePoint
5
1.2368744601631003e-16
2.777137017098532e-16
2.343353023250889e-16
9
-27.16127718389199
-8.297516807998475e-09
-0.0001250199817382657

simplify3.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample753.0ms

Algorithm
intervals
Results
444.0ms10088×body80valid