Details

Time bar (total: 48.7s)

sample164.0ms

Algorithm
intervals
Results
78.0ms256×body80valid
55.0ms263×body80nan

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
44435
3818
2162
146
019

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* v v))
0.2b
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube add-exp-log
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×*-un-lft-identity add-cube-cbrt
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×frac-times cbrt-undiv div-exp insert-posit16 add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub sqrt-prod div-inv
Counts
4 → 98
Calls
4 calls:
25.0ms
(* 3 (* v v))
124.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
6.0ms
(* PI t)
26.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

series857.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 3 (* v v))
548.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
22.0ms
(* PI t)
240.0ms
(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
23287
1704
0233

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 9)
0.3b
(* PI t)
0.4b
(/ (/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (* PI t))
1.0b
(/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
35×add-sqr-sqrt
32×*-un-lft-identity add-cube-cbrt
25×add-cbrt-cube add-exp-log
21×associate-/l*
11×pow1
10×sqrt-prod
7×cbrt-undiv div-exp
6×sqrt-div associate-*r* prod-exp associate-*r/ associate-/r/ cbrt-unprod
5×associate-/r*
4×flip3-- associate-*l* pow-prod-down insert-posit16 div-inv flip-- add-log-exp
3×div-sub associate-/l/
2×clear-num frac-2neg *-commutative unswap-sqr
Counts
4 → 134
Calls
4 calls:
31.0ms
(* (* v v) 9)
11.0ms
(* PI t)
47.0ms
(/ (/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (* PI t))
33.0ms
(/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))

series811.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (* v v) 9)
40.0ms
(* PI t)
443.0ms
(/ (/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (* PI t))
270.0ms
(/ (- 1 (* (* 5 v) v)) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))

simplify1.3s

Counts
146 → 146
Iterations
IterNodes
22311
1699
0274

prune3.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize117.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 9)
0.2b
(/ (/ (- 1 (* (* 5 v) v)) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t)
0.4b
(* (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))))) PI) (/ (/ (- 1 (* (* 5 v) v)) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t))
1.0b
(/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
406×times-frac
244×add-sqr-sqrt
187×*-un-lft-identity
183×add-cube-cbrt
133×add-exp-log
88×cbrt-prod associate-*r*
71×associate-*r/
64×div-exp
62×cbrt-div sqrt-div
60×add-cbrt-cube
50×associate-*l*
46×associate-/r/
39×prod-exp
32×cbrt-undiv
31×flip3-- flip--
30×associate-/l*
21×sqrt-prod
19×pow1 cbrt-unprod
17×frac-times unswap-sqr
14×div-inv
9×associate-*l/ pow-flip
8×rec-exp 1-exp
6×pow1/3 pow-prod-down
4×associate-/r* insert-posit16 add-log-exp
2×clear-num frac-2neg div-sub pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus inv-pow associate-/l/
Counts
4 → 391
Calls
4 calls:
28.0ms
(* (* v v) 9)
36.0ms
(/ (/ (- 1 (* (* 5 v) v)) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t)
136.0ms
(* (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))))) PI) (/ (/ (- 1 (* (* 5 v) v)) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t))
50.0ms
(/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))))

series3.7s

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* v v) 9)
950.0ms
(/ (/ (- 1 (* (* 5 v) v)) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t)
395.0ms
(* (/ (/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))))) PI) (/ (/ (- 1 (* (* 5 v) v)) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))) t))
2.3s
(/ 1 (* (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) (cbrt (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))))

simplify1.7s

Counts
403 → 403
Iterations
IterNodes
12178
0723

prune11.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize154.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* v v) 9)
0.4b
(* (/ (/ (sqrt (- 1 (* (* 5 v) v))) 1) PI) (/ (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) t))
0.4b
(/ (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) t)
1.0b
(/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
558×times-frac
358×add-sqr-sqrt
259×*-un-lft-identity
251×add-cube-cbrt
189×sqrt-prod
97×associate-*r*
71×associate-*l*
64×add-exp-log
52×add-cbrt-cube
36×associate-/l*
31×div-exp
25×unswap-sqr
22×cbrt-undiv
18×sqrt-div
17×associate-*r/
16×associate-/r/
15×prod-exp
14×div-inv
12×cbrt-unprod
11×pow1
9×flip3-- flip--
7×associate-/r*
4×pow-prod-down insert-posit16 add-log-exp
3×1-exp associate-/l/
2×clear-num frac-2neg *-commutative
1×frac-times sqrt-undiv associate-*l/
Counts
4 → 433
Calls
4 calls:
28.0ms
(* (* v v) 9)
79.0ms
(* (/ (/ (sqrt (- 1 (* (* 5 v) v))) 1) PI) (/ (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) t))
43.0ms
(/ (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) t)
24.0ms
(/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (* v v) 9)
497.0ms
(* (/ (/ (sqrt (- 1 (* (* 5 v) v))) 1) PI) (/ (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) t))
343.0ms
(/ (/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v)))))) t)
375.0ms
(/ (sqrt (- 1 (* (* 5 v) v))) (sqrt (* 2 (- 1 (* (* (* v v) 9) (* v v))))))

simplify3.0s

Counts
445 → 445
Iterations
IterNodes
25946
11997
0662

prune11.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes239.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify22.0ms

Iterations
IterNodes
255
155
038

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.9s8001×body80valid
1.4s8198×body80nan