Details

Time bar (total: 8.3s)

sample18.0ms

Algorithm
intervals
Results
8.0ms317×body80valid

simplify985.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1229
2439
31069
41879
52719
63719
712389
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
11.7b
(/ (* x (+ (- y z) 1.0)) z)

rewrite58.0ms

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:
39.0ms
(* x (+ (- y z) 1.0))
18.0ms
(/ (* x (+ (- y z) 1.0)) z)

series74.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (+ (- y z) 1.0))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify761.0ms

Counts
53 → 53
Iterations

Useful iterations: done (759.0ms)

IterNodesCost
094609
1254593
2995499
done5000485

prune103.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:
7.0ms
(- (* (/ x z) (+ 1.0 y)) x)
16.0ms
(* (/ x z) (+ 1.0 y))

series78.0ms

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

simplify2.1s

Counts
59 → 59
Iterations

Useful iterations: 3 (771.0ms)

IterNodesCost
0114680
1365628
21115582
34540576
done5000576

prune112.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite76.0ms

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:
31.0ms
(/ (+ (- y z) 1.0) z)
42.0ms
(* x (/ (+ (- y z) 1.0) z))

series67.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ (- y z) 1.0) z)
42.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify1.9s

Counts
82 → 82
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01071003
1268955
2913867
34108847
done5001846

prune129.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

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-exp-log add-cbrt-cube
5×pow1 div-inv associate-/l* add-log-exp
4×div-sub associate-*r/
3×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*l* associate-/r* flip-- associate--r-
2×distribute-rgt-out-- frac-sub associate-/l/ sub-div
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 105
Calls
3 calls:
7.0ms
(/ (- z 1.0) z)
24.0ms
(- (/ y z) (/ (- z 1.0) z))
82.0ms
(* x (- (/ y z) (/ (- z 1.0) z)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- z 1.0) z)
19.0ms
(- (/ y z) (/ (- z 1.0) z))
34.0ms
(* x (- (/ y z) (/ (- z 1.0) z)))

simplify696.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
01641381
13851318
211281223
done50021223

prune201.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

61.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.4b

bsearch59.0ms

Steps
ItersRangePoint
5
9.519812131773987e-194
1.9845217767196287e-193
1.5249655170051624e-193
10
-6.994196683941643e-239
-4.623060837562868e-253
-3.9021083944700275e-239

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02037
12929
done2929

end0.0ms

sample448.0ms

Algorithm
intervals
Results
247.0ms10098×body80valid