Details

Time bar (total: 1.6m)

sample102.0ms

Algorithm
intervals
Results
49.0ms269×body80nan
34.0ms256×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
44493
3820
2160
144
019

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* -6 (* v v))
0.2b
(* (* v v) 5)
0.4b
(* t (sqrt (+ (* -6 (* v v)) 2)))
0.4b
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
283×times-frac
131×add-sqr-sqrt
125×*-un-lft-identity
107×add-cube-cbrt
67×associate-/l*
37×add-cbrt-cube add-exp-log
36×difference-of-squares
16×pow1
14×associate-/r/
12×cbrt-undiv div-exp
10×associate-*r* prod-exp cbrt-unprod
9×div-inv
7×associate-*l* pow-prod-down
6×flip3-- flip--
4×sqrt-div associate-*r/ sqrt-prod insert-posit16 add-log-exp unswap-sqr
3×div-sub *-commutative
2×flip3-+ flip-+
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 227
Calls
4 calls:
18.0ms
(* -6 (* v v))
30.0ms
(* (* v v) 5)
83.0ms
(* t (sqrt (+ (* -6 (* v v)) 2)))
55.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

series728.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* -6 (* v v))
30.0ms
(* (* v v) 5)
138.0ms
(* t (sqrt (+ (* -6 (* v v)) 2)))
520.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) PI) (* t (sqrt (+ (* -6 (* v v)) 2))))

simplify2.4s

Counts
239 → 239
Iterations
IterNodes
24189
11476
0596

prune2.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b
(* -216 (* (* (* v v) (* v v)) (* v v)))
0.2b
(* -6 (* v v))
0.2b
(* -6 (* v v))
0.2b
(* -6 (* v v))

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
72×pow1 add-cbrt-cube add-exp-log
51×pow-prod-down prod-exp cbrt-unprod
12×associate-*l*
11×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
4×associate-*r* *-commutative insert-posit16 add-log-exp
3×unswap-sqr
Counts
4 → 106
Calls
4 calls:
279.0ms
(* -216 (* (* (* v v) (* v v)) (* v v)))
17.0ms
(* -6 (* v v))
25.0ms
(* -6 (* v v))
32.0ms
(* -6 (* v v))

series189.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* -216 (* (* (* v v) (* v v)) (* v v)))
43.0ms
(* -6 (* v v))
48.0ms
(* -6 (* v v))
35.0ms
(* -6 (* v v))

simplify18.0s

Counts
118 → 118
Iterations
IterNodes
312966
21280
1329
0109

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1 (* (sqrt PI) t)) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2))))
1.0b
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2)))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite351.0ms

Algorithm
rewrite-expression-head
Rules
4393×times-frac
2072×add-sqr-sqrt
2026×*-un-lft-identity
1792×add-cube-cbrt
1617×sqrt-prod
786×associate-*r*
468×difference-of-squares
160×associate-/r/
131×add-exp-log
130×associate-/l*
94×div-inv
78×flip3-- flip--
67×add-cbrt-cube
64×div-exp
40×prod-exp
32×cbrt-undiv
16×cbrt-unprod
11×unswap-sqr
8×pow1 rec-exp 1-exp
7×associate-*l*
6×associate-/r*
4×sqrt-div insert-posit16 add-log-exp
3×div-sub
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
4 → 1822
Calls
4 calls:
153.0ms
(* (/ 1 (* (sqrt PI) t)) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2))))
49.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2)))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series1.2s

Counts
4 → 8
Calls
4 calls:
506.0ms
(* (/ 1 (* (sqrt PI) t)) (/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2))))
690.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (sqrt PI)) (sqrt (+ (* -6 (* v v)) 2)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify22.6s

Counts
1830 → 1830
Iterations
IterNodes
16509
02022

prune29.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (* (sqrt (+ 2 (* -6 (* v v)))) (sqrt PI))) (* (sqrt PI) t))
1.0b
(/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (* (sqrt (+ 2 (* -6 (* v v)))) (sqrt PI)))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
58×add-sqr-sqrt
57×add-cbrt-cube add-exp-log
56×*-un-lft-identity
48×associate-/l*
44×add-cube-cbrt
28×cbrt-undiv div-exp
24×difference-of-squares
14×associate-/r/
11×prod-exp cbrt-unprod
8×div-inv
6×pow1 sqrt-div associate-*l/ sqrt-prod
5×div-sub
4×flip3-- insert-posit16 flip-- add-log-exp
3×flip3-+ flip-+
2×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 182
Calls
4 calls:
64.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (* (sqrt (+ 2 (* -6 (* v v)))) (sqrt PI))) (* (sqrt PI) t))
33.0ms
(/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (* (sqrt (+ 2 (* -6 (* v v)))) (sqrt PI)))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series1.2s

Counts
4 → 8
Calls
4 calls:
491.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (* (sqrt (+ 2 (* -6 (* v v)))) (sqrt PI))) (* (sqrt PI) t))
679.0ms
(/ (/ (- 1 (* (* v v) 5)) (- 1 (* v v))) (* (sqrt (+ 2 (* -6 (* v v)))) (sqrt PI)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.9s

Counts
190 → 190
Iterations
IterNodes
23846
11163
0436

prune2.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
241
141
031

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.0s8000×body80valid
1.6s7890×body80nan