Details

Time bar (total: 49.8s)

sample113.0ms

Algorithm
intervals
Results
51.0ms256×body80valid
39.0ms271×body80nan

simplify2.0s

Counts
1 → 1

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ (- 1 (* (* v v) 5)) PI) (* t (- 1 (* v v))))
0.5b
(/ (/ (/ (- 1 (* (* v v) 5)) PI) (* t (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))
0.2b
(* 6 (* v v))
0.1b
(* (* v v) 5)

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
299×times-frac
118×add-sqr-sqrt
116×*-un-lft-identity add-cube-cbrt
60×sqrt-prod
44×add-cbrt-cube add-exp-log
32×associate-/l*
18×associate-/r/ div-inv
17×cbrt-undiv div-exp
16×associate-*r/
14×pow1
10×prod-exp cbrt-unprod
9×flip3-- flip--
7×associate-/r*
6×pow-prod-down
5×div-sub
4×associate-*r* associate-*l* insert-posit16 add-log-exp
2×clear-num frac-2neg sqrt-div *-commutative unswap-sqr associate-/l/
Counts
4 → 254
Calls
4 calls:
Slowest
53.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) PI) (* t (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))
31.0ms
(* (* v v) 5)
27.0ms
(* 6 (* v v))
22.0ms
(/ (/ (- 1 (* (* v v) 5)) PI) (* t (- 1 (* v v))))

series753.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
456.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) PI) (* t (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))
194.0ms
(/ (/ (- 1 (* (* v v) 5)) PI) (* t (- 1 (* v v))))
52.0ms
(* 6 (* v v))
51.0ms
(* (* v v) 5)

simplify940.0ms

Counts
266 → 266

prune3.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
0.2b
(* 6 (* v v))
0.1b
(* (* v v) 5)
0.0b
(/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
2341×times-frac
1193×add-sqr-sqrt
1113×*-un-lft-identity
937×add-cube-cbrt
438×sqrt-prod
436×associate-*r*
338×difference-of-squares
83×add-exp-log
81×div-inv
71×associate-/l*
55×add-cbrt-cube
38×div-exp
30×associate-/r/
23×unswap-sqr
22×cbrt-undiv prod-exp
17×associate-*l*
16×pow1
15×flip3-- flip--
14×cbrt-unprod
7×pow-prod-down
6×associate-/r*
4×rec-exp sqrt-div 1-exp insert-posit16 add-log-exp
3×div-sub *-commutative
1×frac-times clear-num frac-2neg associate-*l/ associate-*r/ associate-/l/
Counts
4 → 1067
Calls
4 calls:
Slowest
59.0ms
(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
49.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
27.0ms
(* (* v v) 5)
13.0ms
(* 6 (* v v))

series983.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
486.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
431.0ms
(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
34.0ms
(* 6 (* v v))
31.0ms
(* (* v v) 5)

simplify4.5s

Counts
1079 → 1079

prune16.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6 (* v v))
0.1b
(* (* v v) 5)
0.1b
(/ (* 1 (/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) t)
0.0b
(/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
1199×times-frac
588×add-sqr-sqrt
586×*-un-lft-identity
495×add-cube-cbrt
216×sqrt-prod
182×difference-of-squares
72×associate-/l*
57×add-exp-log
44×div-inv
43×add-cbrt-cube
27×div-exp
17×cbrt-undiv
16×associate-/r/
14×pow1 prod-exp
10×cbrt-unprod
9×associate-/r*
8×flip3-- flip--
6×pow-prod-down
4×1-exp associate-*r* associate-*l* insert-posit16 add-log-exp
3×div-sub
2×clear-num frac-2neg sqrt-div *-commutative unswap-sqr associate-/l/
1×associate-*r/
Counts
4 → 597
Calls
4 calls:
Slowest
49.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
48.0ms
(/ (* 1 (/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) t)
27.0ms
(* (* v v) 5)
13.0ms
(* 6 (* v v))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
540.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
473.0ms
(/ (* 1 (/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) t)
34.0ms
(* (* v v) 5)
31.0ms
(* 6 (* v v))

simplify2.7s

Counts
609 → 609

prune8.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* 1 (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v)))) (* t (sqrt (- 2 (* 6 (* v v))))))
0.4b
(* t (sqrt (- 2 (* 6 (* v v)))))
0.2b
(* 6 (* v v))
0.1b
(* (* v v) 5)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
69×add-exp-log
48×add-cbrt-cube
26×div-exp prod-exp
17×cbrt-unprod
16×pow1
15×add-sqr-sqrt
14×cbrt-undiv
10×associate-*r*
9×*-un-lft-identity add-cube-cbrt
7×associate-*l* pow-prod-down
6×1-exp
5×associate-*r/
4×sqrt-div sqrt-prod insert-posit16 add-log-exp unswap-sqr
3×*-commutative
2×flip3-- associate-/r/ flip--
1×clear-num associate-/r* frac-2neg times-frac div-inv associate-/l* associate-/l/
Counts
4 → 104
Calls
4 calls:
Slowest
33.0ms
(/ (* 1 (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v)))) (* t (sqrt (- 2 (* 6 (* v v))))))
29.0ms
(* (* v v) 5)
24.0ms
(* 6 (* v v))
13.0ms
(* t (sqrt (- 2 (* 6 (* v v)))))

series618.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
437.0ms
(/ (* 1 (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v)))) (* t (sqrt (- 2 (* 6 (* v v))))))
117.0ms
(* t (sqrt (- 2 (* 6 (* v v)))))
35.0ms
(* 6 (* v v))
28.0ms
(* (* v v) 5)

simplify1.1s

Counts
116 → 116

prune1.4s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.1s8024×body80nan
1.4s8000×body80valid