Details

Time bar (total: 4.5s)

sample23.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify6.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
2.4b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.4b
(* y (+ 1.0 (* z z)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
21×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
5×pow1 add-log-exp
4×associate-*r/
3×flip3-+ associate-*r* associate-*l* prod-exp cbrt-unprod flip-+ div-inv
2×associate-/r/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* sum-log *-commutative associate-/l/ unswap-sqr
Counts
3 → 81
Calls
3 calls:
8.0ms
(+ 1.0 (* z z))
34.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
23.0ms
(* y (+ 1.0 (* z z)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ 1.0 (* z z))
84.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
75.0ms
(* y (+ 1.0 (* z z)))

simplify35.0ms

Counts
90 → 90

prune266.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* z z))
0.3b
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
2.1b
(* (* y (+ 1.0 (* z z))) x)
3.4b
(* y (+ 1.0 (* z z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*r/ associate-*r* add-log-exp
4×flip3-+ associate-*l* pow-prod-down associate-*l/ flip-+
3×cbrt-undiv times-frac div-exp associate-/l*
2×associate-/r/ *-commutative
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* sum-log div-inv unswap-sqr
Counts
4 → 78
Calls
4 calls:
5.0ms
(+ 1.0 (* z z))
28.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
30.0ms
(* (* y (+ 1.0 (* z z))) x)
16.0ms
(* y (+ 1.0 (* z z)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ 1.0 (* z z))
96.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
60.0ms
(* (* y (+ 1.0 (* z z))) x)
55.0ms
(* y (+ 1.0 (* z z)))

simplify41.0ms

Counts
90 → 90

prune244.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* z z))
0.2b
(/ 1.0 (* y (+ 1.0 (* z z))))
2.4b
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
3.4b
(* y (+ 1.0 (* z z)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
20×add-exp-log add-cbrt-cube
12×associate-*r/ associate-/l*
10×associate-/r/
7×cbrt-undiv flip3-+ div-exp flip-+
6×pow1 div-inv add-log-exp
4×associate-/r*
3×associate-*r* associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down sum-log *-commutative associate-/l/ unswap-sqr
Counts
4 → 112
Calls
4 calls:
6.0ms
(+ 1.0 (* z z))
19.0ms
(/ 1.0 (* y (+ 1.0 (* z z))))
29.0ms
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
21.0ms
(* y (+ 1.0 (* z z)))

series286.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ 1.0 (* z z))
80.0ms
(/ 1.0 (* y (+ 1.0 (* z z))))
91.0ms
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
67.0ms
(* y (+ 1.0 (* z z)))

simplify56.0ms

Counts
124 → 124

prune344.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
2.4b
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
16.8b
(sqrt (+ 1.0 (* z z)))
16.8b
(sqrt (+ 1.0 (* z z)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
30×add-exp-log add-cbrt-cube
28×sqrt-div
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
16×associate-*r/
14×flip3-+ flip-+
13×associate-/l*
11×pow1
9×cbrt-undiv div-exp prod-exp sqrt-prod cbrt-unprod
8×frac-times associate-/r/
6×associate-*r*
4×associate-*l/ add-log-exp
3×pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*l* clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 117
Calls
4 calls:
85.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
83.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
9.0ms
(sqrt (+ 1.0 (* z z)))
10.0ms
(sqrt (+ 1.0 (* z z)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
71.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
66.0ms
(sqrt (+ 1.0 (* z z)))
73.0ms
(sqrt (+ 1.0 (* z z)))

simplify69.0ms

Counts
129 → 129

prune402.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.7b

regimes240.0ms

Accuracy

0% (1.8b remaining)

Error of 6.4b against oracle of 4.6b and baseline of 6.4b

bsearch0.0ms

simplify7.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
817.0ms8594×body80valid