Details

Time bar (total: 13.4s)

sample41.0ms

Algorithm
intervals
Results
13.0ms286×body80nan
13.0ms256×body80valid

simplify871.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
380328
4355528
done500128

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))))))

rewrite84.0ms

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)
52.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
19.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series874.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 5.0 (* v v))
24.0ms
(* PI t)
620.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
200.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.6s

Counts
114 → 114
Iterations

Useful iterations: 2 (559.0ms)

IterNodesCost
02582497
17762348
240652006
done50002006

prune494.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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)))))

rewrite205.0ms

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)
143.0ms
(/ (- 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))))
49.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series674.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
20.0ms
(* PI t)
403.0ms
(/ (- 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))))
226.0ms
(* (* PI t) (sqrt (* 2.0 (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify1.3s

Counts
114 → 114
Iterations

Useful iterations: 2 (263.0ms)

IterNodesCost
02402719
17142506
237812140
done50012140

prune523.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

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))))

rewrite224.0ms

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:
7.0ms
(* 3.0 (* v v))
7.0ms
(* 5.0 (* v v))
9.0ms
(* t (* (sqrt 2.0) PI))
198.0ms
(/ (- 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))))

series607.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 3.0 (* v v))
25.0ms
(* 5.0 (* v v))
75.0ms
(* t (* (sqrt 2.0) PI))
475.0ms
(/ (- 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 (278.0ms)

IterNodesCost
02422578
17532363
238091987
done50011987

prune531.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize26.0ms

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))

rewrite195.0ms

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))
170.0ms
(/ (- 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)
4.0ms
(* t (sqrt 2.0))

series538.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 5.0 (* v v))
399.0ms
(/ (- 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))))
72.0ms
(* (* t (sqrt 2.0)) PI)
40.0ms
(* t (sqrt 2.0))

simplify1.4s

Counts
117 → 117
Iterations

Useful iterations: 2 (328.0ms)

IterNodesCost
02452575
17452368
240961990
done50001990

prune591.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes278.0ms

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

sample1.1s

Algorithm
intervals
Results
424.0ms8000×body80valid
394.0ms7966×body80nan