Details

Time bar (total: 13.7s)

sample41.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms238×body80nan

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216328
381328
4359028
done500128

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

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 frac-times div-exp 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 → 94
Calls
4 calls:
16.0ms
(* 5.0 (* v v))
116.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
6.0ms
(* PI t)
36.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series800.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
566.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
20.0ms
(* PI t)
188.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify1.3s

Counts
106 → 106
Iterations

Useful iterations: 2 (487.0ms)

IterNodesCost
02502389
17312232
235741908
done50001908

prune323.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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 (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite293.0ms

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×frac-times 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 → 94
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
16.0ms
(* 5.0 (* v v))
20.0ms
(* t (* (sqrt 2.0) PI))
236.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series698.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3.0 (* v v))
25.0ms
(* 5.0 (* v v))
71.0ms
(* t (* (sqrt 2.0) PI))
570.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify1.3s

Counts
106 → 106
Iterations

Useful iterations: 2 (461.0ms)

IterNodesCost
02542333
17542157
236941815
done50001815

prune525.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

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)))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log add-cbrt-cube
19×pow1
15×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
2×flip3-- sqrt-div associate-*r/ associate-/r/ flip-- associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 86
Calls
4 calls:
16.0ms
(* 3.0 (* v v))
16.0ms
(* 5.0 (* v v))
22.0ms
(* t (* (sqrt 2.0) PI))
85.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* t (* (sqrt 2.0) PI)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 3.0 (* v v))
26.0ms
(* 5.0 (* v v))
71.0ms
(* t (* (sqrt 2.0) PI))
318.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* t (* (sqrt 2.0) PI)) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))))

simplify926.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (303.0ms)

IterNodesCost
01901792
15361643
223881389
done50011389

prune459.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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

rewrite321.0ms

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×frac-times sqrt-prod 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 → 97
Calls
4 calls:
16.0ms
(* 5.0 (* v v))
269.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* t (sqrt 2.0)) PI) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
22.0ms
(* (* t (sqrt 2.0)) PI)
11.0ms
(* t (sqrt 2.0))

series697.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 5.0 (* v v))
562.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* t (sqrt 2.0)) PI) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
69.0ms
(* (* t (sqrt 2.0)) PI)
40.0ms
(* t (sqrt 2.0))

simplify1.3s

Counts
109 → 109
Iterations

Useful iterations: 2 (465.0ms)

IterNodesCost
02582332
17542162
237901820
done50001820

prune279.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes277.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03778
15078
done5078

end0.0ms

sample1.1s

Algorithm
intervals
Results
380.0ms8000×body80valid
353.0ms8005×body80nan