Details

Time bar (total: 36.0s)

sample97.0ms

Algorithm
intervals
Results
42.0ms256×body80valid
36.0ms265×body80nan

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
44608
3838
2160
144
019

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2 (* 6 (* v v)))
0.1b
(* 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)))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
299×times-frac
118×add-sqr-sqrt
117×*-un-lft-identity add-cube-cbrt
60×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×flip3-- flip--
9×pow1
7×associate-/r* prod-exp cbrt-unprod
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-neg associate-*l* prod-diff pow-prod-down
2×clear-num frac-2neg sqrt-div associate-/l/
1×sub-neg diff-log associate-*r* *-commutative unswap-sqr
Counts
4 → 255
Calls
4 calls:
11.0ms
(- 2 (* 6 (* v v)))
24.0ms
(* 6 (* v v))
27.0ms
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
39.0ms
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

series811.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(- 2 (* 6 (* v v)))
52.0ms
(* 6 (* v v))
163.0ms
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
495.0ms
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

simplify2.3s

Counts
267 → 267
Iterations
IterNodes
23722
11239
0486

prune3.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
35×add-sqr-sqrt
34×add-cbrt-cube add-exp-log
30×*-un-lft-identity add-cube-cbrt
16×associate-/l*
11×pow1
10×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod
8×sqrt-div associate-/r/
7×associate-*l*
6×associate-*r*
4×expm1-log1p-u frac-times associate-/r* flip3-+ pow-prod-down sqrt-prod flip-+ log1p-expm1-u div-inv add-log-exp
3×flip3-- flip-- unswap-sqr
2×clear-num frac-2neg associate-*r/ *-commutative
1×associate-/l/
Counts
4 → 136
Calls
4 calls:
7.0ms
(/ (fma -5 (* v v) 1) PI)
18.0ms
(* (* v v) -6)
42.0ms
(* (sqrt (+ (* (* v v) -6) 2)) t)
73.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* (* (sqrt (+ (* (* v v) -6) 2)) t) (- 1 (* v v))))

series960.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(/ (fma -5 (* v v) 1) PI)
30.0ms
(* (* v v) -6)
244.0ms
(* (sqrt (+ (* (* v v) -6) 2)) t)
553.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* (* (sqrt (+ (* (* v v) -6) 2)) t) (- 1 (* v v))))

simplify1000.0ms

Counts
148 → 148
Iterations
IterNodes
22954
1836
0301

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
682×times-frac
388×add-sqr-sqrt
337×*-un-lft-identity
294×add-cube-cbrt
224×associate-*l*
86×difference-of-squares
48×add-cbrt-cube add-exp-log
28×div-inv
25×associate-*r* sqrt-prod
20×cbrt-undiv div-exp
16×associate-/l*
13×unswap-sqr
11×pow1 prod-exp cbrt-unprod
9×associate-/r*
6×associate-/r/
4×expm1-log1p-u sqrt-div pow-prod-down log1p-expm1-u add-log-exp
3×flip3-- flip-- associate-/l/
2×clear-num frac-2neg *-commutative
1×frac-times flip3-+ associate-*l/ associate-*r/ flip-+
Counts
4 → 425
Calls
4 calls:
14.0ms
(* 6 (* v v))
10.0ms
(/ (/ (fma -5 (* v v) 1) PI) t)
68.0ms
(* (/ (/ (/ (fma -5 (* v v) 1) PI) t) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* 6 (* v v))))))
18.0ms
(/ (+ 1 (* v v)) (sqrt (- 2 (* 6 (* v v)))))

series768.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 6 (* v v))
97.0ms
(/ (/ (fma -5 (* v v) 1) PI) t)
399.0ms
(* (/ (/ (/ (fma -5 (* v v) 1) PI) t) (- 1 (* (* v v) (* v v)))) (/ (+ 1 (* v v)) (sqrt (- 2 (* 6 (* v v))))))
244.0ms
(/ (+ 1 (* v v)) (sqrt (- 2 (* 6 (* v v)))))

simplify987.0ms

Counts
437 → 437
Iterations
IterNodes
12615
0830

prune6.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 6 (* v v))
0.1b
(* 6 (* v v))
0.3b
(/ (/ (fma -5 (* v v) 1) t) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))
0.4b
(* (/ (/ (fma -5 (* v v) 1) t) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ 1 (* PI (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
230×add-exp-log
182×times-frac
113×add-sqr-sqrt
109×div-exp
93×add-cbrt-cube
89×associate-*r*
79×prod-exp
74×*-un-lft-identity add-cube-cbrt
60×cbrt-prod
55×cbrt-undiv
41×cbrt-unprod
36×associate-/r/
31×associate-*l*
30×sqrt-prod
26×cbrt-div sqrt-div
23×associate-*r/
22×flip3-- flip--
16×pow1
15×div-inv
14×unswap-sqr
13×associate-/l*
10×rec-exp 1-exp
9×frac-times
7×pow-prod-down
5×associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 296
Calls
4 calls:
24.0ms
(* 6 (* v v))
19.0ms
(* 6 (* v v))
15.0ms
(/ (/ (fma -5 (* v v) 1) t) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))
103.0ms
(* (/ (/ (fma -5 (* v v) 1) t) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ 1 (* PI (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 6 (* v v))
56.0ms
(* 6 (* v v))
423.0ms
(/ (/ (fma -5 (* v v) 1) t) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))
496.0ms
(* (/ (/ (fma -5 (* v v) 1) t) (* (cbrt (sqrt (- 2 (* 6 (* v v))))) (cbrt (sqrt (- 2 (* 6 (* v v))))))) (/ (/ 1 (* PI (- 1 (* v v)))) (cbrt (sqrt (- 2 (* 6 (* v v)))))))

simplify3.7s

Counts
308 → 308
Iterations
IterNodes
26430
11853
0585

prune4.9s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
221
121
017

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.2s8001×body80valid
2.1s8100×body80nan