Details

Time bar (total: 22.9s)

sample95.0ms

Algorithm
intervals
Results
33.0ms256×body80valid
29.0ms288×body80nan

simplify3.6s

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: 0.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* 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))))))

rewrite299.0ms

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:
37.0ms
(* 5.0 (* v v))
14.0ms
(* PI t)
193.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
47.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 5.0 (* v v))
28.0ms
(* PI t)
852.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
264.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify2.0s

Counts
106 → 106
Iterations

Useful iterations: 2 (784.0ms)

IterNodesCost
02502389
17312232
235721908
done50021908

prune489.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

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))))

rewrite515.0ms

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:
32.0ms
(* 3.0 (* v v))
33.0ms
(* 5.0 (* v v))
27.0ms
(* t (* (sqrt 2.0) PI))
415.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series995.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3.0 (* v v))
56.0ms
(* 5.0 (* v v))
80.0ms
(* t (* (sqrt 2.0) PI))
827.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* (sqrt 2.0) PI)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify1.9s

Counts
106 → 106
Iterations

Useful iterations: 2 (628.0ms)

IterNodesCost
02542333
17542157
236941815
done50001815

prune419.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* (* (* 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))))))
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
8.5b
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite462.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log add-cbrt-cube
42×prod-exp cbrt-unprod
36×associate-*r/
16×cbrt-undiv sqrt-div div-exp associate-/r/
14×pow1 flip3-- flip--
8×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity associate-*r*
6×pow-prod-down
4×times-frac associate-*l/ associate-/l* add-log-exp
2×frac-2neg associate-*l* clear-num associate-/r* sqrt-prod *-commutative div-inv
Counts
4 → 120
Calls
4 calls:
161.0ms
(/ 1.0 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
54.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
40.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
196.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.8s

Counts
4 → 12
Calls
4 calls:
547.0ms
(/ 1.0 (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
249.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
242.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
767.0ms
(/ (* 5.0 (* v v)) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify644.0ms

Counts
132 → 132
Iterations

Useful iterations: done (636.0ms)

IterNodesCost
02844355
18673863
done50003133

prune716.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize42.0ms

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)
0.5b
(* t (sqrt 2.0))

rewrite572.0ms

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:
20.0ms
(* 5.0 (* v v))
474.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* t (sqrt 2.0)) PI) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
45.0ms
(* (* t (sqrt 2.0)) PI)
28.0ms
(* t (sqrt 2.0))

series993.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 5.0 (* v v))
766.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* t (sqrt 2.0)) PI) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
124.0ms
(* (* t (sqrt 2.0)) PI)
59.0ms
(* t (sqrt 2.0))

simplify2.1s

Counts
109 → 109
Iterations

Useful iterations: 2 (709.0ms)

IterNodesCost
02582332
17542162
237901820
done50001820

prune398.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

regimes386.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02029
12629
done2629

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.5s7944×body80nan
1.0s8000×body80valid