Details

Time bar (total: 13.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms339×body80valid

simplify1.9s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
9.5b
(/ (* x (+ (- y z) 1.0)) z)

rewrite112.0ms

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:
71.0ms
(* x (+ (- y z) 1.0))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

series105.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* x (+ (- y z) 1.0))
60.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.5s

Counts
53 → 53
Iterations
IterNodes
done5001
34390
2894
1266
094

prune331.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
3.1b
(/ x (/ z (+ (- y z) 1.0)))

rewrite103.0ms

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:
35.0ms
(/ z (+ (- y z) 1.0))
56.0ms
(/ x (/ z (+ (- y z) 1.0)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ z (+ (- y z) 1.0))
76.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.7s

Counts
145 → 145
Iterations
IterNodes
done5001
21761
1512
0200

prune704.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
0.0b
(+ (/ (* x y) z) (* 1.0 (/ x z)))
5.9b
(/ (* x y) z)

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 associate-/r* times-frac
2×cbrt-undiv sum-log diff-log div-exp
1×+-commutative clear-num sub-neg frac-2neg flip3-+ flip3-- frac-add prod-exp associate--l+ associate-*r/ cbrt-unprod flip-+ div-inv flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 49
Calls
3 calls:
122.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
15.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
8.0ms
(/ (* x y) z)

series149.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
49.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
27.0ms
(/ (* x y) z)

simplify1.4s

Counts
58 → 58
Iterations
IterNodes
done5000
21069
1273
099

prune347.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
0.0b
(+ (* x (/ y z)) (* 1.0 (/ x z)))
5.3b
(* x (/ y z))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1
3×associate-*l* associate-*r/
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-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
76.0ms
(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
11.0ms
(+ (* x (/ y z)) (* 1.0 (/ x z)))
23.0ms
(* x (/ y z))

series161.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
82.0ms
(+ (* x (/ y z)) (* 1.0 (/ x z)))
27.0ms
(* x (/ y z))

simplify1.3s

Counts
69 → 69
Iterations
IterNodes
done5004
21231
1323
0121

prune325.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes265.0ms

Accuracy

93.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch64.0ms

Steps
ItersRangePoint
8
4.3599037375413715e+45
6.004896970802085e+49
1.6998757204459526e+46
7
-1.1847826194493546e+33
-5.90791172990774e+31
-1.159509178632831e+32

simplify4.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample1.3s

Algorithm
intervals
Results
933.0ms10121×body80valid