Details

Time bar (total: 37.5s)

sample139.0ms

Algorithm
intervals
Results
68.0ms256×body80valid
47.0ms269×body80nan

simplify2.7s

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

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2 (* 6 (* v v))))
0.2b
(* 6 (* v v))
0.4b
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
0.4b
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
299×times-frac
118×add-sqr-sqrt
116×*-un-lft-identity add-cube-cbrt
63×sqrt-prod
39×add-cbrt-cube add-exp-log
32×associate-/l*
18×associate-/r/ div-inv
17×cbrt-undiv div-exp
16×associate-*r/
10×pow1 flip3-- flip--
7×associate-/r* prod-exp cbrt-unprod
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down
2×clear-num frac-2neg associate-/l/
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative unswap-sqr
Counts
4 → 256
Calls
4 calls:
8.0ms
(sqrt (- 2 (* 6 (* v v))))
16.0ms
(* 6 (* v v))
14.0ms
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
29.0ms
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

series775.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(sqrt (- 2 (* 6 (* v v))))
43.0ms
(* 6 (* v v))
147.0ms
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
482.0ms
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

simplify2.0s

Counts
268 → 268
Iterations
IterNodes
23877
11257
0496

prune3.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6 (* v v))
0.4b
(/ (/ (fma -5 (* v v) 1) (* (- 1 (* (* v (* v v)) (* v (* v v)))) PI)) t)
0.5b
(* (/ (/ (fma -5 (* v v) 1) (* (- 1 (* (* v (* v v)) (* v (* v v)))) PI)) t) (/ (+ (fma (* v v) (* v v) (* v v)) 1) (sqrt (- 2 (* 6 (* v v))))))
1.0b
(/ (+ (fma (* v v) (* v v) (* v v)) 1) (sqrt (- 2 (* 6 (* v v)))))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
130×times-frac
97×*-un-lft-identity
91×add-sqr-sqrt
71×add-cube-cbrt
52×add-cbrt-cube add-exp-log
34×associate-*l*
31×associate-*r*
29×sqrt-prod
20×cbrt-undiv div-exp
18×associate-/r/
15×associate-*l/
14×prod-exp cbrt-unprod
13×distribute-lft-out associate-/l*
11×pow1 div-inv
9×associate-/r* flip3-- flip--
7×unswap-sqr
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-*r/ flip-+
Counts
4 → 232
Calls
4 calls:
29.0ms
(* 6 (* v v))
23.0ms
(/ (/ (fma -5 (* v v) 1) (* (- 1 (* (* v (* v v)) (* v (* v v)))) PI)) t)
121.0ms
(* (/ (/ (fma -5 (* v v) 1) (* (- 1 (* (* v (* v v)) (* v (* v v)))) PI)) t) (/ (+ (fma (* v v) (* v v) (* v v)) 1) (sqrt (- 2 (* 6 (* v v))))))
31.0ms
(/ (+ (fma (* v v) (* v v) (* v v)) 1) (sqrt (- 2 (* 6 (* v v)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 6 (* v v))
138.0ms
(/ (/ (fma -5 (* v v) 1) (* (- 1 (* (* v (* v v)) (* v (* v v)))) PI)) t)
617.0ms
(* (/ (/ (fma -5 (* v v) 1) (* (- 1 (* (* v (* v v)) (* v (* v v)))) PI)) t) (/ (+ (fma (* v v) (* v v) (* v v)) 1) (sqrt (- 2 (* 6 (* v v))))))
352.0ms
(/ (+ (fma (* v v) (* v v) (* v v)) 1) (sqrt (- 2 (* 6 (* v v)))))

simplify2.8s

Counts
244 → 244
Iterations
IterNodes
25002
11347
0451

prune4.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
231×pow1
144×times-frac
83×add-sqr-sqrt
82×*-un-lft-identity add-cube-cbrt
72×pow-prod-up
49×pow-prod-down
44×pow-sqr
38×add-cbrt-cube add-exp-log
36×pow-plus sqrt-prod
26×pow2
24×associate-/l*
19×prod-exp cbrt-unprod
8×sqrt-div associate-/r/
5×associate-*l* div-inv
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- add-log-exp
3×cbrt-undiv associate-/r* div-exp associate-*r* *-commutative unswap-sqr
2×swap-sqr
1×clear-num frac-2neg associate-/l/
Counts
4 → 271
Calls
4 calls:
15.0ms
(/ (/ (fma (/ (/ (fma -5 (* v v) 1) PI) (- 1 (* (* (* v v) (* v v)) (* v v)))) (fma (* v v) (* v v) (* v v)) (/ (/ (fma -5 (* v v) 1) PI) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (- 2 (* 6 (* v v))))) t)
49.0ms
(* (* v v) (* v v))
41.0ms
(* (* v v) (* v v))
16.0ms
(* 6 (* v v))

series972.0ms

Counts
4 → 12
Calls
4 calls:
828.0ms
(/ (/ (fma (/ (/ (fma -5 (* v v) 1) PI) (- 1 (* (* (* v v) (* v v)) (* v v)))) (fma (* v v) (* v v) (* v v)) (/ (/ (fma -5 (* v v) 1) PI) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (- 2 (* 6 (* v v))))) t)
59.0ms
(* (* v v) (* v v))
48.0ms
(* (* v v) (* v v))
37.0ms
(* 6 (* v v))

simplify1.5s

Counts
283 → 283
Iterations
IterNodes
22580
1869
0354

prune5.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
233×pow1
72×pow-prod-up
55×add-exp-log
53×add-sqr-sqrt
50×pow-prod-down
45×add-cbrt-cube
44×pow-sqr
39×times-frac
36×pow-plus
29×associate-*l*
28×*-un-lft-identity
27×prod-exp
26×pow2
25×add-cube-cbrt
23×cbrt-unprod
16×associate-*r*
12×sqrt-prod unswap-sqr
8×div-exp
4×expm1-log1p-u cbrt-undiv *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp sqrt-div 1-exp swap-sqr associate-/r/ div-inv
1×frac-times flip3-- associate-*l/ associate-*r/ un-div-inv flip--
Counts
4 → 228
Calls
4 calls:
40.0ms
(* (* v v) (* v v))
46.0ms
(* (* v v) (* v v))
20.0ms
(* 6 (* v v))
37.0ms
(* (/ (fma (/ (/ (fma -5 (* v v) 1) PI) (- 1 (* (* (* v v) (* v v)) (* v v)))) (fma (* v v) (* v v) (* v v)) (/ (/ (fma -5 (* v v) 1) PI) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (- 2 (* 6 (* v v))))) (/ 1 t))

series991.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (* v v) (* v v))
51.0ms
(* (* v v) (* v v))
48.0ms
(* 6 (* v v))
835.0ms
(* (/ (fma (/ (/ (fma -5 (* v v) 1) PI) (- 1 (* (* (* v v) (* v v)) (* v v)))) (fma (* v v) (* v v) (* v v)) (/ (/ (fma -5 (* v v) 1) PI) (- 1 (* (* (* v v) (* v v)) (* v v))))) (sqrt (- 2 (* 6 (* v v))))) (/ 1 t))

simplify1.6s

Counts
240 → 240
Iterations
IterNodes
22775
1737
0265

prune4.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
223
123
021

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.1s7890×body80nan
1.7s8000×body80valid