Details

Time bar (total: 7.3s)

sample28.0ms

Algorithm
intervals
Results
12.0ms333×body80valid

simplify747.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2449
31139
43759
513589
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.5b
(/ (* x (+ (- y z) 1.0)) z)

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
122.0ms
(* x (+ (- y z) 1.0))
48.0ms
(/ (* x (+ (- y z) 1.0)) z)

series100.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (+ (- y z) 1.0))
61.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify939.0ms

Counts
53 → 53
Iterations

Useful iterations: done (937.0ms)

IterNodesCost
094609
1272593
21247507
done5001499

prune136.0ms

Pruning

3 alts after pruning (3 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))
3.5b
(/ x (/ z (+ (- y z) 1.0)))

rewrite141.0ms

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-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
59.0ms
(/ z (+ (- y z) 1.0))
70.0ms
(/ x (/ z (+ (- y z) 1.0)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(/ z (+ (- y z) 1.0))
62.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify906.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (363.0ms)

IterNodesCost
02002400
15222252
225672148
done50012148

prune393.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x y) z) (* 1.0 (/ x z)))
0.0b
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
5.2b
(/ (* x y) z)

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv diff-log div-exp sum-log
1×+-commutative sub-neg flip3-- frac-2neg flip3-+ associate-*r/ frac-add prod-exp associate--l+ clear-num flip-- cbrt-unprod flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 49
Calls
3 calls:
29.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
166.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
19.0ms
(/ (* x y) z)

series168.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
64.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
33.0ms
(/ (* x y) z)

simplify749.0ms

Counts
58 → 58
Iterations

Useful iterations: done (747.0ms)

IterNodesCost
099812
1273759
21304713
done5001701

prune134.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (/ y z)) (* 1.0 (/ x z)))
0.0b
(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
7.4b
(* x (/ y z))

rewrite109.0ms

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-exp-log add-cbrt-cube
5×pow1
3×associate-*r/ associate-*l*
2×diff-log prod-exp sum-log cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- flip3-+ div-exp pow-prod-down frac-add associate--l+ *-commutative flip-- flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
12.0ms
(+ (* x (/ y z)) (* 1.0 (/ x z)))
77.0ms
(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
18.0ms
(* x (/ y z))

series150.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (* x (/ y z)) (* 1.0 (/ x z)))
62.0ms
(- (+ (* x (/ y z)) (* 1.0 (/ x z))) x)
29.0ms
(* x (/ y z))

simplify776.0ms

Counts
69 → 69
Iterations

Useful iterations: done (773.0ms)

IterNodesCost
0121903
1337842
21394794
done5001782

prune162.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

95% (0.2b remaining)

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

bsearch113.0ms

Steps
ItersRangePoint
10
3.702960000671357e-60
1.225889303318422e-48
4.003006293405847e-55
7
-216780227373.01285
-5850708151.804642
-20890976261.996433

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02047
12835
done2835

end0.0ms

sample907.0ms

Algorithm
intervals
Results
476.0ms10117×body80valid