Details

Time bar (total: 46.9s)

sample151.0ms

Algorithm
intervals
Results
66.0ms236×body80nan
56.0ms256×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
44608
3838
2160
144
019

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(* PI (- 1 (* v v)))
0.2b
(* 6 (* v v))
0.3b
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
0.5b
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
299×times-frac
123×add-sqr-sqrt
120×*-un-lft-identity
119×add-cube-cbrt
60×sqrt-prod
41×add-cbrt-cube add-exp-log
32×associate-/l*
18×associate-*r/ associate-/r/ div-inv
17×cbrt-undiv div-exp
11×pow1
10×flip3-- flip--
8×prod-exp cbrt-unprod
7×associate-/r*
6×associate-*r* associate-*l* prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×clear-num sub-neg frac-2neg sqrt-div *-commutative difference-of-squares unswap-sqr associate-/l/
Counts
4 → 273
Calls
4 calls:
19.0ms
(* PI (- 1 (* v v)))
31.0ms
(* 6 (* v v))
26.0ms
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
47.0ms
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

series803.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* PI (- 1 (* v v)))
51.0ms
(* 6 (* v v))
164.0ms
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
476.0ms
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

simplify2.2s

Counts
285 → 285
Iterations
IterNodes
23722
11231
0507

prune3.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma -5 (* v v) 1) t)
0.0b
(* PI (- 1 (* v v)))
0.2b
(* -6 (* v v))
0.3b
(/ (/ (fma -5 (* v v) 1) t) (* (* PI (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
35×add-sqr-sqrt
34×add-cbrt-cube add-exp-log
32×*-un-lft-identity
31×add-cube-cbrt
16×associate-/l*
11×pow1
10×cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod
8×associate-/r/
6×sqrt-div associate-*r* associate-*l* prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u frac-times associate-/r* flip3-- pow-prod-down insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
3×flip3-+ flip-+
2×clear-num sub-neg frac-2neg associate-*l/ *-commutative difference-of-squares unswap-sqr
1×associate-/l/
Counts
4 → 148
Calls
4 calls:
4.0ms
(/ (fma -5 (* v v) 1) t)
15.0ms
(* PI (- 1 (* v v)))
14.0ms
(* -6 (* v v))
34.0ms
(/ (/ (fma -5 (* v v) 1) t) (* (* PI (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (fma -5 (* v v) 1) t)
118.0ms
(* PI (- 1 (* v v)))
28.0ms
(* -6 (* v v))
450.0ms
(/ (/ (fma -5 (* v v) 1) t) (* (* PI (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))

simplify1.3s

Counts
160 → 160
Iterations
IterNodes
23026
1831
0311

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* v v) (* v v)) (* v v))
0.1b
(/ (/ (fma -5 (* v v) 1) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* PI (sqrt (fma (* v v) -6 2))))) t)
0.2b
(* (* v v) (* v v))
0.2b
(* (* v v) (* v v))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
891×pow1
378×pow-prod-up
190×pow-prod-down
163×pow-plus
159×pow-sqr
102×pow2
83×add-cbrt-cube add-exp-log
50×prod-exp cbrt-unprod
39×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×associate-/l*
8×associate-*l/ associate-/r/
7×cbrt-undiv div-exp
5×div-inv
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp
3×associate-/r* associate-*r* associate-*l* *-commutative unswap-sqr
2×swap-sqr
1×clear-num frac-2neg pow3 associate-/l/
Counts
4 → 404
Calls
4 calls:
127.0ms
(* (* (* v v) (* v v)) (* v v))
50.0ms
(/ (/ (fma -5 (* v v) 1) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* PI (sqrt (fma (* v v) -6 2))))) t)
25.0ms
(* (* v v) (* v v))
24.0ms
(* (* v v) (* v v))

series636.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (* (* v v) (* v v)) (* v v))
447.0ms
(/ (/ (fma -5 (* v v) 1) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* PI (sqrt (fma (* v v) -6 2))))) t)
41.0ms
(* (* v v) (* v v))
61.0ms
(* (* v v) (* v v))

simplify1.3s

Counts
416 → 416
Iterations
IterNodes
22632
1798
0327

prune6.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ t (/ (fma -5 (* v v) 1) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* PI (sqrt (fma (* v v) -6 2))))))
0.2b
(* (* v v) (* v v))
0.2b
(* (* v v) (* v v))
0.3b
(/ 1 (/ t (/ (fma -5 (* v v) 1) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* PI (sqrt (fma (* v v) -6 2)))))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
227×pow1
119×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
92×add-exp-log
72×pow-prod-up
62×add-cbrt-cube
46×pow-prod-down
44×pow-sqr
41×associate-/r*
38×div-exp associate-/r/
36×pow-plus
32×associate-*l/
28×prod-exp
26×pow2
22×cbrt-unprod div-inv
19×cbrt-undiv
16×flip3-- flip--
6×associate-/l*
5×rec-exp 1-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg swap-sqr associate-*r* associate-*l* *-commutative unswap-sqr
1×pow-flip inv-pow
Counts
4 → 360
Calls
4 calls:
40.0ms
(/ t (/ (fma -5 (* v v) 1) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* PI (sqrt (fma (* v v) -6 2))))))
29.0ms
(* (* v v) (* v v))
32.0ms
(* (* v v) (* v v))
58.0ms
(/ 1 (/ t (/ (fma -5 (* v v) 1) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* PI (sqrt (fma (* v v) -6 2)))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
518.0ms
(/ t (/ (fma -5 (* v v) 1) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* PI (sqrt (fma (* v v) -6 2))))))
56.0ms
(* (* v v) (* v v))
48.0ms
(* (* v v) (* v v))
412.0ms
(/ 1 (/ t (/ (fma -5 (* v v) 1) (* (- 1 (* (* (* v v) (* v v)) (* v v))) (* PI (sqrt (fma (* v v) -6 2)))))))

simplify12.6s

Counts
372 → 372
Iterations
IterNodes
25175
11411
0518

prune6.0s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
230
130
023

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.0s8062×body80nan
1.6s8000×body80valid