Details

Time bar (total: 9.5s)

sample40.0ms

Algorithm
intervals
Results
18.0ms355×body80valid

simplify744.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
19.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
34.0ms
(* (* z z) (+ z 1.0))
39.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* z z) (+ z 1.0))
82.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify812.0ms

Counts
57 → 57

prune140.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
8.0b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.8b
(/ x (* z z))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
14.0ms
(/ y (+ z 1.0))
58.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
12.0ms
(/ x (* z z))

series119.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z 1.0))
59.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
24.0ms
(/ x (* z z))

simplify887.0ms

Counts
116 → 116

prune247.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
5.0b
(* (/ x z) (/ y (+ z 1.0)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 149
Calls
3 calls:
15.0ms
(/ y (+ z 1.0))
60.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
45.0ms
(* (/ x z) (/ y (+ z 1.0)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ z 1.0))
58.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
72.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.5s

Counts
158 → 158

prune372.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.1b
(/ (/ y (+ z 1.0)) z)
1.9b
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
6.9b
(* x (/ (/ y (+ z 1.0)) z))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
216×times-frac
165×*-un-lft-identity
124×add-sqr-sqrt
115×add-cube-cbrt
80×add-exp-log
59×associate-*r*
52×add-cbrt-cube
31×prod-exp
27×div-exp
25×distribute-lft-out
21×associate-/l*
17×cbrt-undiv cbrt-unprod
16×associate-*l* associate-/r/
11×pow1 div-inv
8×flip3-+ flip-+
7×associate-/r*
4×rec-exp 1-exp associate-*r/ pow-prod-down add-log-exp
3×unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times associate-*l/ associate-/l/
Counts
4 → 254
Calls
4 calls:
20.0ms
(/ y (+ z 1.0))
32.0ms
(/ (/ y (+ z 1.0)) z)
105.0ms
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
83.0ms
(* x (/ (/ y (+ z 1.0)) z))

series232.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ y (+ z 1.0))
59.0ms
(/ (/ y (+ z 1.0)) z)
54.0ms
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
84.0ms
(* x (/ (/ y (+ z 1.0)) z))

simplify576.0ms

Counts
266 → 266

prune739.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes267.0ms

Accuracy

13.6% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify567.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
926.0ms10745×body80valid