Details

Time bar (total: 32.0s)

sample97.0ms

Algorithm
intervals
Results
42.0ms274×body80nan
34.0ms256×body80valid

simplify1.7s

Counts
1 → 1

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ (/ (- 1 (* (* v v) 5)) (* t PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))
0.3b
(/ (- 1 (* (* v v) 5)) (* t PI))
0.2b
(* t PI)
0.2b
(* (* v v) 6)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
599×times-frac
271×add-sqr-sqrt
268×*-un-lft-identity
219×add-cube-cbrt
126×sqrt-prod
98×difference-of-squares
44×div-inv associate-/l*
30×add-cbrt-cube add-exp-log
16×associate-/r/
11×pow1 cbrt-undiv div-exp
9×flip3-- flip--
7×associate-/r*
6×associate-*r* prod-exp cbrt-unprod
4×div-sub associate-*l* pow-prod-down insert-posit16 add-log-exp
3×associate-/l/
2×clear-num frac-2neg sqrt-div *-commutative unswap-sqr
Counts
4 → 380
Calls
4 calls:
Slowest
31.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (* t PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))
14.0ms
(* (* v v) 6)
13.0ms
(/ (- 1 (* (* v v) 5)) (* t PI))
5.0ms
(* t PI)

series578.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
433.0ms
(/ (/ (/ (- 1 (* (* v v) 5)) (* t PI)) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))
95.0ms
(/ (- 1 (* (* v v) 5)) (* t PI))
29.0ms
(* (* v v) 6)
22.0ms
(* t PI)

simplify1.3s

Counts
645 → 392

prune4.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
1154×times-frac
623×add-sqr-sqrt
543×*-un-lft-identity
458×add-cube-cbrt
438×associate-*r*
222×sqrt-prod
156×difference-of-squares
76×add-exp-log
48×add-cbrt-cube
39×div-inv
33×div-exp
23×unswap-sqr
22×prod-exp
17×cbrt-undiv
16×pow1
15×associate-*l*
14×associate-/r/ cbrt-unprod
8×flip3-- flip--
7×pow-prod-down
4×rec-exp 1-exp insert-posit16 add-log-exp
3×associate-/r* *-commutative associate-/l*
2×sqrt-div associate-/l/
1×frac-times clear-num frac-2neg div-sub associate-*l/ associate-*r/
Counts
4 → 574
Calls
4 calls:
Slowest
95.0ms
(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))
21.0ms
(* (* v v) 5)
13.0ms
(* (* v v) 6)
11.0ms
(/ (- 1 (* (* v v) 5)) PI)

series563.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
383.0ms
(* (/ 1 t) (/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6)))))
110.0ms
(/ (- 1 (* (* v v) 5)) PI)
37.0ms
(* (* v v) 5)
33.0ms
(* (* v v) 6)

simplify5.4s

Counts
618 → 586

prune7.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
36×add-cbrt-cube
22×div-exp
18×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
14×pow1 prod-exp
12×cbrt-undiv times-frac
10×cbrt-unprod
6×associate-/r* associate-*r* pow-prod-down
4×1-exp insert-posit16 associate-/l* add-log-exp
3×associate-/l/
2×clear-num frac-2neg associate-*l* *-commutative div-inv unswap-sqr
1×flip3-- div-sub associate-*r/ flip--
Counts
4 → 104
Calls
4 calls:
Slowest
25.0ms
(/ (* 1 (/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) t)
23.0ms
(* (* v v) 6)
18.0ms
(* (* v v) 5)
14.0ms
(/ (- 1 (* (* v v) 5)) PI)

series698.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
462.0ms
(/ (* 1 (/ (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v))) (sqrt (- 2 (* (* v v) 6))))) t)
153.0ms
(/ (- 1 (* (* v v) 5)) PI)
47.0ms
(* (* v v) 5)
35.0ms
(* (* v v) 6)

simplify405.0ms

Counts
131 → 116

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite124.0ms

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
12×associate-*r*
9×*-un-lft-identity add-cube-cbrt
7×pow-prod-down
6×1-exp
5×associate-*l* 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
40.0ms
(/ (* 1 (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v)))) (* t (sqrt (- 2 (* (* v v) 6)))))
30.0ms
(* t (sqrt (- 2 (* (* v v) 6))))
26.0ms
(* (* v v) 5)
26.0ms
(* (* v v) 6)

series641.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
439.0ms
(/ (* 1 (/ (/ (- 1 (* (* v v) 5)) PI) (- 1 (* v v)))) (* t (sqrt (- 2 (* (* v v) 6)))))
147.0ms
(* t (sqrt (- 2 (* (* v v) 6))))
27.0ms
(* (* v v) 6)
27.0ms
(* (* v v) 5)

simplify442.0ms

Counts
119 → 116

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes245.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.9s8000×body80valid
1.4s8101×body80nan