Details

Time bar (total: 35.6s)

sample152.0ms

Algorithm
intervals
Results
65.0ms234×body80nan
58.0ms256×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
44495
3836
2162
146
019

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (* v v) -5 1) (* PI (- 1 (* v v))))
0.1b
(* (* v v) 6)
0.4b
(* t (sqrt (- 2 (* (* v v) 6))))
0.4b
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (* t (sqrt (- 2 (* (* v v) 6)))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
18×times-frac
14×*-un-lft-identity add-cube-cbrt
12×cbrt-undiv div-exp associate-/l*
11×pow1
10×prod-exp associate-*r/ cbrt-unprod
9×associate-*r*
8×associate-/r/
5×flip3-- flip--
4×expm1-log1p-u sqrt-div associate-*l* pow-prod-down sqrt-prod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×unswap-sqr
2×clear-num associate-/r* frac-2neg *-commutative
1×associate-/l/
Counts
4 → 122
Calls
4 calls:
9.0ms
(/ (fma (* v v) -5 1) (* PI (- 1 (* v v))))
15.0ms
(* (* v v) 6)
17.0ms
(* t (sqrt (- 2 (* (* v v) 6))))
41.0ms
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (* t (sqrt (- 2 (* (* v v) 6)))))

series721.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(/ (fma (* v v) -5 1) (* PI (- 1 (* v v))))
43.0ms
(* (* v v) 6)
135.0ms
(* t (sqrt (- 2 (* (* v v) 6))))
404.0ms
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (* t (sqrt (- 2 (* (* v v) 6)))))

simplify1.1s

Counts
134 → 134
Iterations
IterNodes
22710
1740
0284

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (* v v) -5 1) (* PI (- 1 (* v v))))
0.0b
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))
0.1b
(* (* v v) 6)
0.3b
(* (/ 1 t) (/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
107×add-sqr-sqrt
83×add-exp-log
82×*-un-lft-identity
79×add-cube-cbrt
63×associate-*r*
60×sqrt-prod
55×add-cbrt-cube
35×div-exp
32×associate-/r/
29×associate-*r/
25×prod-exp
21×cbrt-undiv
17×div-inv
16×flip3-- flip--
15×cbrt-unprod
14×associate-*l*
12×associate-/l*
11×pow1
10×unswap-sqr
7×associate-/r*
4×expm1-log1p-u rec-exp sqrt-div 1-exp pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg *-commutative
1×frac-times associate-*l/ associate-/l/
Counts
4 → 260
Calls
4 calls:
17.0ms
(/ (fma (* v v) -5 1) (* PI (- 1 (* v v))))
28.0ms
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))
15.0ms
(* (* v v) 6)
63.0ms
(* (/ 1 t) (/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
528.0ms
(/ (fma (* v v) -5 1) (* PI (- 1 (* v v))))
493.0ms
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))
35.0ms
(* (* v v) 6)
459.0ms
(* (/ 1 t) (/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))))

simplify2.1s

Counts
272 → 272
Iterations
IterNodes
24692
11422
0470

prune3.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (* v v) -5 1) (* PI (- 1 (* v v))))
0.0b
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))
0.1b
(/ (* 1 (/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))) t)
0.1b
(* (* v v) 6)

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
57×add-exp-log
44×add-sqr-sqrt
43×*-un-lft-identity add-cbrt-cube add-cube-cbrt
30×sqrt-prod
26×div-exp
18×associate-/r/
17×cbrt-undiv associate-*r/
15×prod-exp
13×associate-/l*
10×associate-/r* cbrt-unprod div-inv
9×pow1 flip3-- flip--
4×expm1-log1p-u 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*r* pow-prod-down
2×sqrt-div associate-/l/
1×associate-*l* *-commutative unswap-sqr
Counts
4 → 174
Calls
4 calls:
8.0ms
(/ (fma (* v v) -5 1) (* PI (- 1 (* v v))))
18.0ms
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))
63.0ms
(/ (* 1 (/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))) t)
23.0ms
(* (* v v) 6)

series1.2s

Counts
4 → 12
Calls
4 calls:
141.0ms
(/ (fma (* v v) -5 1) (* PI (- 1 (* v v))))
570.0ms
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))
431.0ms
(/ (* 1 (/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))) t)
37.0ms
(* (* v v) 6)

simplify2.0s

Counts
186 → 186
Iterations
IterNodes
23573
11094
0412

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) 6)
0.4b
(/ (/ (/ (fma (* v v) -5 1) PI) (- 1 (* (* v v) (* v v)))) t)
0.5b
(* (/ (/ (/ (fma (* v v) -5 1) PI) (- 1 (* (* v v) (* v v)))) t) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))
1.0b
(/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6))))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
1258×times-frac
662×add-sqr-sqrt
611×*-un-lft-identity
520×add-cube-cbrt
218×associate-*l*
182×difference-of-squares
74×associate-/l*
52×add-cbrt-cube add-exp-log
46×div-inv
27×associate-*r*
25×sqrt-prod
23×cbrt-undiv div-exp
18×associate-/r/
13×unswap-sqr
11×pow1 prod-exp cbrt-unprod
9×associate-/r* flip3-- flip--
4×expm1-log1p-u sqrt-div pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l/
2×clear-num frac-2neg *-commutative
1×frac-times flip3-+ associate-*l/ associate-*r/ flip-+
Counts
4 → 659
Calls
4 calls:
18.0ms
(* (* v v) 6)
34.0ms
(/ (/ (/ (fma (* v v) -5 1) PI) (- 1 (* (* v v) (* v v)))) t)
83.0ms
(* (/ (/ (/ (fma (* v v) -5 1) PI) (- 1 (* (* v v) (* v v)))) t) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))
36.0ms
(/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6))))

series1.0s

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* v v) 6)
165.0ms
(/ (/ (/ (fma (* v v) -5 1) PI) (- 1 (* (* v v) (* v v)))) t)
546.0ms
(* (/ (/ (/ (fma (* v v) -5 1) PI) (- 1 (* (* v v) (* v v)))) t) (/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6)))))
281.0ms
(/ (+ 1 (* v v)) (sqrt (- 2 (* (* v v) 6))))

simplify1.8s

Counts
671 → 671
Iterations
IterNodes
13461
01165

prune9.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
223
123
018

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.1s7902×body80nan
1.7s8000×body80valid