Details

Time bar (total: 20.1s)

sample26.0ms

Algorithm
intervals
Results
11.0ms320×body80valid

simplify5.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2449
31139
41949
52919
63859
77959
831279
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.0b
(/ (* x (+ (- y z) 1.0)) z)

rewrite167.0ms

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:
99.0ms
(* x (+ (- y z) 1.0))
67.0ms
(/ (* x (+ (- y z) 1.0)) z)

series93.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* x (+ (- y z) 1.0))
48.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify3.0s

Counts
53 → 53
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
094609
1254593
2882499
34763485
done5002485

prune139.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ 1.0 y)) x)
5.0b
(* (/ x z) (+ 1.0 y))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 53
Calls
2 calls:
31.0ms
(- (* (/ x z) (+ 1.0 y)) x)
61.0ms
(* (/ x z) (+ 1.0 y))

series108.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(- (* (/ x z) (+ 1.0 y)) x)
48.0ms
(* (/ x z) (+ 1.0 y))

simplify3.7s

Counts
59 → 59
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
0114680
1368628
21158582
34795576
done5000576

prune173.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
3.0b
(* x (/ (+ (- y z) 1.0) z))

rewrite181.0ms

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-exp-log add-cbrt-cube
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×associate-+l- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 76
Calls
2 calls:
83.0ms
(/ (+ (- y z) 1.0) z)
92.0ms
(* x (/ (+ (- y z) 1.0) z))

series90.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ (- y z) 1.0) z)
57.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify2.0s

Counts
82 → 82
Iterations

Useful iterations: 3 (685.0ms)

IterNodesCost
01071003
1264955
2784867
32865847
done5000847

prune164.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x (+ 1.0 y)) z) x)
0.0b
(* x (+ 1.0 y))
3.5b
(/ (* x (+ 1.0 y)) z)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 add-log-exp
4×associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/
1×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative flip-- div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 60
Calls
3 calls:
24.0ms
(- (/ (* x (+ 1.0 y)) z) x)
28.0ms
(* x (+ 1.0 y))
26.0ms
(/ (* x (+ 1.0 y)) z)

series158.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (/ (* x (+ 1.0 y)) z) x)
50.0ms
(* x (+ 1.0 y))
49.0ms
(/ (* x (+ 1.0 y)) z)

simplify3.1s

Counts
69 → 69
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
0111725
1283684
2909622
33896592
done5000592

prune161.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

69.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch55.0ms

Steps
ItersRangePoint
7
2.5400712297185524e+145
9.512232189668787e+146
2.5905380091358057e+145
4
-9.26603679748231e+27
-5.937076841674776e+27
-8.953946801625355e+27

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01735
12327
done2327

end0.0ms

sample1.0s

Algorithm
intervals
Results
469.0ms10146×body80valid