Details

Time bar (total: 7.0s)

sample33.0ms

Algorithm
intervals
Results
17.0ms277×body80valid

simplify6.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize9.0ms

Local error

Found 2 expressions with local error:

3.9b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.1b
(* y (+ 1.0 (* z z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
24.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
21.0ms
(* y (+ 1.0 (* z z)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
80.0ms
(* y (+ 1.0 (* z z)))

simplify37.0ms

Counts
76 → 76

prune208.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.9b

localize17.0ms

Local error

Found 2 expressions with local error:

3.3b
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
5.6b
(/ (/ 1 x) (+ 1.0 (* z z)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
114×add-sqr-sqrt
88×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
45×associate-*r*
28×add-cbrt-cube
23×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv
10×prod-exp div-inv
8×unswap-sqr
6×cbrt-unprod
4×pow1 associate-/r/
3×rec-exp 1-exp associate-/r*
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 168
Calls
2 calls:
70.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
28.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
75.0ms
(/ (/ 1 x) (+ 1.0 (* z z)))

simplify80.0ms

Counts
174 → 174

prune537.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
3.3b
(* (/ 1.0 y) (/ (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
15.9b
(sqrt (+ 1.0 (* z z)))
15.9b
(sqrt (+ 1.0 (* z z)))

rewrite496.0ms

Algorithm
rewrite-expression-head
Rules
1529×times-frac
810×add-sqr-sqrt
681×*-un-lft-identity
673×add-cube-cbrt
560×sqrt-prod
510×associate-*r*
63×add-exp-log
52×div-inv
41×add-cbrt-cube
34×div-exp
30×unswap-sqr
20×sqrt-div
19×cbrt-undiv
16×associate-/r/
13×associate-*l* associate-/l*
12×prod-exp
10×flip3-+ flip-+
8×pow1 cbrt-unprod
6×associate-/r*
4×add-log-exp
3×rec-exp 1-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 731
Calls
4 calls:
23.0ms
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
341.0ms
(* (/ 1.0 y) (/ (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
5.0ms
(sqrt (+ 1.0 (* z z)))
16.0ms
(sqrt (+ 1.0 (* z z)))

series269.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
72.0ms
(* (/ 1.0 y) (/ (/ (/ 1 x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
52.0ms
(sqrt (+ 1.0 (* z z)))
57.0ms
(sqrt (+ 1.0 (* z z)))

simplify163.0ms

Counts
743 → 743

prune2.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
1.8b
(/ (* 1.0 (/ (/ 1 x) (sqrt (+ 1.0 (* z z))))) (* y (sqrt (+ 1.0 (* z z)))))
15.9b
(sqrt (+ 1.0 (* z z)))
15.9b
(sqrt (+ 1.0 (* z z)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
142×times-frac
85×add-sqr-sqrt
83×add-cube-cbrt *-un-lft-identity
63×add-exp-log
48×sqrt-prod
41×add-cbrt-cube
30×div-exp
17×cbrt-undiv
16×prod-exp
14×associate-/l*
10×cbrt-unprod
9×div-inv
8×sqrt-div
7×associate-/r*
6×pow1
4×flip3-+ associate-/r/ flip-+ add-log-exp
3×rec-exp 1-exp associate-*r/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 182
Calls
4 calls:
21.0ms
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
50.0ms
(/ (* 1.0 (/ (/ 1 x) (sqrt (+ 1.0 (* z z))))) (* y (sqrt (+ 1.0 (* z z)))))
9.0ms
(sqrt (+ 1.0 (* z z)))
9.0ms
(sqrt (+ 1.0 (* z z)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (/ 1 x) (sqrt (+ 1.0 (* z z))))
105.0ms
(/ (* 1.0 (/ (/ 1 x) (sqrt (+ 1.0 (* z z))))) (* y (sqrt (+ 1.0 (* z z)))))
60.0ms
(sqrt (+ 1.0 (* z z)))
62.0ms
(sqrt (+ 1.0 (* z z)))

simplify76.0ms

Counts
194 → 194

prune667.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.9b

regimes290.0ms

Accuracy

-64.1% (1.9b remaining)

Error of 6.9b against oracle of 5.0b and baseline of 6.1b

bsearch0.0ms

simplify49.0ms

end0.0ms

sample740.0ms

Algorithm
intervals
Results
431.0ms8640×body80valid