Details

Time bar (total: 20.5s)

sample59.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
16.0ms216×body80nan

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5000
44048
3819
2163
144
019

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.4b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube add-exp-log
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×*-un-lft-identity add-cube-cbrt
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×frac-times cbrt-undiv div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
12.0ms
(* 5.0 (* v v))
5.0ms
(* PI t)
149.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
39.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 5.0 (* v v))
23.0ms
(* PI t)
778.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
245.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify422.0ms

Counts
106 → 106
Iterations
IterNodes
done5001
1807
0253

prune780.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize146.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 5.0 v) v)
0.2b
(* 3.0 (* v v))
0.4b
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* 3.0 (pow v (* 2 2)))))))))
0.4b
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* 3.0 (pow v (* 2 2))))))))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
28×add-cbrt-cube add-exp-log
25×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
16×pow1
13×associate-/l*
9×prod-exp cbrt-unprod
8×associate-*r* associate-*r/
7×associate-*l* pow-prod-down
6×cbrt-undiv div-exp
4×sqrt-div add-log-exp
3×*-commutative div-inv
2×flip3-- div-sub associate-/r/ flip-- unswap-sqr
1×clear-num associate-/r* frac-2neg sqrt-prod associate-/l/
Counts
4 → 107
Calls
4 calls:
13.0ms
(* (* 5.0 v) v)
24.0ms
(* 3.0 (* v v))
57.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* 3.0 (pow v (* 2 2)))))))))
59.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* 3.0 (pow v (* 2 2))))))))

series782.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (* 5.0 v) v)
46.0ms
(* 3.0 (* v v))
468.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) (* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* 3.0 (pow v (* 2 2)))))))))
213.0ms
(* t (sqrt (* 2.0 (- (* 1.0 1.0) (* 3.0 (* 3.0 (pow v (* 2 2))))))))

simplify1.8s

Counts
119 → 119
Iterations
IterNodes
done5002
23810
1688
0255

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI t)
0.4b
(/ (* (* PI t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))) 5.0)
0.5b
(* (* PI t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)))
6.4b
(/ (pow v 2) (/ (* (* PI t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))) 5.0))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
58×add-exp-log
45×add-sqr-sqrt
43×*-un-lft-identity add-cube-cbrt
34×add-cbrt-cube
24×unpow-prod-down div-exp
16×prod-exp
11×pow1 div-inv
10×cbrt-undiv associate-/r* cbrt-unprod
9×associate-/l*
8×unpow2 sqr-pow
7×associate-*r*
4×pow-to-exp sqrt-div associate-*l* pow-prod-down associate-*l/ pow-exp associate-*r/ add-log-exp
2×clear-num frac-2neg flip3-- *-commutative flip-- associate-/l/
1×associate-/r/ sqrt-prod unswap-sqr
Counts
4 → 162
Calls
4 calls:
6.0ms
(* PI t)
59.0ms
(/ (* (* PI t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))) 5.0)
64.0ms
(* (* PI t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)))
43.0ms
(/ (pow v 2) (/ (* (* PI t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))) 5.0))

series928.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* PI t)
283.0ms
(/ (* (* PI t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))) 5.0)
293.0ms
(* (* PI t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0)))
325.0ms
(/ (pow v 2) (/ (* (* PI t) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))) 5.0))

simplify462.0ms

Counts
174 → 174
Iterations
IterNodes
done5000
1806
0300

prune2.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* v v) (* v v))
0.2b
(* (* v 5.0) v)
0.2b
(* 3.0 (* v v))
0.3b
(* (/ 1 t) (/ (/ (- 1.0 (* (* v 5.0) v)) PI) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
127×pow1
112×times-frac
86×add-sqr-sqrt
65×add-exp-log
63×associate-*r*
58×*-un-lft-identity
55×add-cube-cbrt
47×add-cbrt-cube
36×pow-prod-up
30×pow-prod-down
26×prod-exp
22×pow-sqr
20×cbrt-unprod
18×pow-plus div-exp associate-*l*
13×pow2 sqrt-prod
11×unswap-sqr
9×cbrt-undiv
6×div-inv
4×*-commutative add-log-exp
3×rec-exp 1-exp associate-*l/
2×sqrt-div associate-/r/
1×frac-times flip3-- swap-sqr associate-*r/ flip--
Counts
4 → 210
Calls
4 calls:
27.0ms
(* (* v v) (* v v))
13.0ms
(* (* v 5.0) v)
23.0ms
(* 3.0 (* v v))
103.0ms
(* (/ 1 t) (/ (/ (- 1.0 (* (* v 5.0) v)) PI) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))))

series620.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* v v) (* v v))
28.0ms
(* (* v 5.0) v)
36.0ms
(* 3.0 (* v v))
506.0ms
(* (/ 1 t) (/ (/ (- 1.0 (* (* v 5.0) v)) PI) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))) 2.0))))

simplify619.0ms

Counts
222 → 222
Iterations
IterNodes
done5001
11278
0373

prune2.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations
IterNodes
done54
154
041

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.4s8232×body80nan
1.0s8000×body80valid