Details

Time bar (total: 7.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms328×body80valid

simplify944.0ms

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: 9.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
8.6b
(/ (* x (+ (- y z) 1.0)) z)

rewrite61.0ms

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:
41.0ms
(* x (+ (- y z) 1.0))
18.0ms
(/ (* x (+ (- y z) 1.0)) z)

series70.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* x (+ (- y z) 1.0))
40.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify542.0ms

Counts
53 → 53
Iterations

Useful iterations: done (540.0ms)

IterNodesCost
094609
1254593
2995499
done5000485

prune100.0ms

Pruning

6 alts after pruning (6 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)
5.3b
(* (/ x z) (+ 1.0 y))

rewrite26.0ms

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)
17.0ms
(* (/ x z) (+ 1.0 y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* (/ x z) (+ 1.0 y)) x)
38.0ms
(* (/ x z) (+ 1.0 y))

simplify2.0s

Counts
59 → 59
Iterations

Useful iterations: 3 (716.0ms)

IterNodesCost
0114680
1365628
21115582
34540576
done5000576

prune125.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* 1.0 (/ x z)) (/ (* x y) z)) x)
0.0b
(+ (* 1.0 (/ x z)) (/ (* x y) z))
6.7b
(/ (* x y) z)

rewrite60.0ms

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:
50.0ms
(- (+ (* 1.0 (/ x z)) (/ (* x y) z)) x)
6.0ms
(+ (* 1.0 (/ x z)) (/ (* x y) z))
3.0ms
(/ (* x y) z)

series109.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (+ (* 1.0 (/ x z)) (/ (* x y) z)) x)
50.0ms
(+ (* 1.0 (/ x z)) (/ (* x y) z))
20.0ms
(/ (* x y) z)

simplify1.5s

Counts
58 → 58
Iterations

Useful iterations: 3 (505.0ms)

IterNodesCost
0101812
1258759
2921713
34378549
done5001549

prune118.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* 1.0 (/ x z)) (* (* x y) (/ 1 z))) x)
0.0b
(+ (* 1.0 (/ x z)) (* (* x y) (/ 1 z)))
6.8b
(* (* x y) (/ 1 z))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
15×add-cbrt-cube
13×associate-*r*
12×add-sqr-sqrt *-un-lft-identity prod-exp
10×add-cube-cbrt add-log-exp
9×times-frac
8×pow1
6×cbrt-unprod
4×associate-*r/ div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp diff-log 1-exp frac-add sum-log un-div-inv
1×+-commutative sub-neg flip3-- flip3-+ associate-*l* associate--l+ *-commutative flip-- flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 67
Calls
3 calls:
30.0ms
(- (+ (* 1.0 (/ x z)) (* (* x y) (/ 1 z))) x)
5.0ms
(+ (* 1.0 (/ x z)) (* (* x y) (/ 1 z)))
13.0ms
(* (* x y) (/ 1 z))

series107.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (+ (* 1.0 (/ x z)) (* (* x y) (/ 1 z))) x)
49.0ms
(+ (* 1.0 (/ x z)) (* (* x y) (/ 1 z)))
20.0ms
(* (* x y) (/ 1 z))

simplify683.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
01381135
1399898
21371814
done5000814

prune327.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

93.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.8b

bsearch67.0ms

Steps
ItersRangePoint
10
1.6507518246557455e-43
1.8793537737921384e-32
8.649219799147649e-36
6
-3.072127055585697e+28
-2.701315959983062e+27
-3.4374981009777875e+27

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02541
13441
done3441

end0.0ms

sample442.0ms

Algorithm
intervals
Results
236.0ms10090×body80valid