Details

Time bar (total: 3.5s)

sample37.0ms

Algorithm
intervals
Results
16.0ms301×body80valid

simplify61.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
8.3b
(/ (+ x (* y (- z x))) z)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
times-frac
add-exp-log add-cbrt-cube
pow1 associate-*r* add-log-exp
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
associate-*l* associate-/r* associate-/l*
flip3-+ associate-*r/ flip-+ associate-/l/
cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
25.0ms
(* y (- z x))
7.0ms
(+ x (* y (- z x)))
29.0ms
(/ (+ x (* y (- z x))) z)

series129.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* y (- z x))
32.0ms
(+ x (* y (- z x)))
51.0ms
(/ (+ x (* y (- z x))) z)

simplify80.0ms

Counts
79 → 79

prune227.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
4.4b
(/ (* x y) z)

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-log-exp
add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt
pow1 times-frac associate-/r*
cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
3 → 52
Calls
3 calls:
24.0ms
(+ (/ x z) y)
158.0ms
(- (+ (/ x z) y) (/ (* x y) z))
15.0ms
(/ (* x y) z)

series94.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ (/ x z) y)
43.0ms
(- (+ (/ x z) y) (/ (* x y) z))
30.0ms
(/ (* x y) z)

simplify32.0ms

Counts
61 → 61

prune135.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ x (/ z y)))
7.5b
(/ x (/ z y))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
52×*-un-lft-identity
45×add-cube-cbrt
13×associate-/r*
10×add-log-exp
add-exp-log add-cbrt-cube
div-inv
pow1 cbrt-undiv div-exp associate-/l* difference-of-squares
flip3-+ diff-log sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
+-commutative sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r/ flip--
Counts
3 → 103
Calls
3 calls:
19.0ms
(+ (/ x z) y)
161.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
10.0ms
(/ x (/ z y))

series94.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ (/ x z) y)
44.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
25.0ms
(/ x (/ z y))

simplify50.0ms

Counts
112 → 112

prune327.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac add-log-exp
add-exp-log add-cbrt-cube
pow1
associate-*r/ associate-*l*
flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip-- div-inv distribute-lft-out
Counts
3 → 60
Calls
3 calls:
26.0ms
(+ (/ x z) y)
160.0ms
(- (+ (/ x z) y) (* x (/ y z)))
27.0ms
(* x (/ y z))

series92.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (/ x z) y)
38.0ms
(- (+ (/ x z) y) (* x (/ y z)))
24.0ms
(* x (/ y z))

simplify106.0ms

Counts
69 → 69

prune129.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

-233.3% (9.9b remaining)

Error of 10.0b against oracle of 0.0b and baseline of 3.0b

bsearch55.0ms

Steps
ItersRangePoint
7
4.818571117228439e-29
1.4016864363292013e-27
6.777650331950524e-29
5
-2.583413158552538e-84
-1.2260811575835537e-84
-1.9618762888681135e-84

simplify77.0ms

end0.0ms

sample981.0ms

Algorithm
intervals
Results
512.0ms10135×body80valid