Details

Time bar (total: 12.4s)

sample40.0ms

Algorithm
intervals
Results
13.0ms286×body80nan
12.0ms256×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
380028
4354228
done500028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 102
Calls
4 calls:
7.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
55.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
15.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series825.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
589.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
185.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.2s

Counts
114 → 114
Iterations

Useful iterations: 2 (361.0ms)

IterNodesCost
02582497
17672332
238552010
done50002010

prune372.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- 1.0 (* v v))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 102
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
148.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- 1.0 (* v v))))
42.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series680.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
19.0ms
(* PI t)
395.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3))))) (- 1.0 (* v v))))
240.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify1.1s

Counts
114 → 114
Iterations

Useful iterations: 2 (318.0ms)

IterNodesCost
02402719
17062498
235622140
done50012140

prune526.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.2b
(* t (* (sqrt 2.0) PI))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (- 1.0 (* v v))))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
19×pow1 prod-exp cbrt-unprod
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 102
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
7.0ms
(* 5.0 (* v v))
8.0ms
(* t (* (sqrt 2.0) PI))
158.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (- 1.0 (* v v))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
31.0ms
(* 5.0 (* v v))
67.0ms
(* t (* (sqrt 2.0) PI))
404.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (- 1.0 (* v v))))

simplify1.1s

Counts
114 → 114
Iterations

Useful iterations: 2 (305.0ms)

IterNodesCost
02422578
17472355
235761987
done50001987

prune526.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* t (sqrt 2.0)) PI) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (- 1.0 (* v v))))
0.4b
(* (* t (sqrt 2.0)) PI)
0.4b
(* t (sqrt 2.0))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1 add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
8×associate-*r/ associate-/r/
7×flip3-- associate-*l* pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×expm1-log1p-u frac-times sqrt-prod log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 105
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
174.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* t (sqrt 2.0)) PI) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (- 1.0 (* v v))))
9.0ms
(* (* t (sqrt 2.0)) PI)
9.0ms
(* t (sqrt 2.0))

series557.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 5.0 (* v v))
419.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* t (sqrt 2.0)) PI) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (- 1.0 (* v v))))
67.0ms
(* (* t (sqrt 2.0)) PI)
47.0ms
(* t (sqrt 2.0))

simplify1.2s

Counts
117 → 117
Iterations

Useful iterations: 2 (313.0ms)

IterNodesCost
02452575
17352358
237941990
done50011990

prune480.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes270.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02957
13957
done3957

end0.0ms

sample988.0ms

Algorithm
intervals
Results
376.0ms8000×body80valid
361.0ms7966×body80nan