Details

sample51.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
15.0ms	245×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	1567
9	1567
8	1565
7	1415
6	1135
5	757
4	385
3	181
2	70
1	27
0	14

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* (* v v) 3.0)))
0.0b	(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
0.0b	(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
0.2b	(* (* v v) 3.0)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`associate-r`
23×	`add-cbrt-cube` `add-exp-log`
18×	`*-un-lft-identity` `add-cube-cbrt`
17×	`pow1`
14×	`times-frac`
11×	`sqrt-prod`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-l`
7×	`pow-prod-down`
6×	`sqrt-div` `associate-*r/`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--` `difference-of-squares`
2×	`frac-times` `cbrt-undiv` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 102

Calls

4 calls:

8.0ms	(sqrt (- 1.0 (* (* v v) 3.0)))
33.0ms	(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
46.0ms	(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
34.0ms	(* (* v v) 3.0)

series838.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(sqrt (- 1.0 (* (* v v) 3.0)))
211.0ms	(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
471.0ms	(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
54.0ms	(* (* v v) 3.0)

simplify2.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	4405
1	676
0	241

prune581.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* (* v v) 3.0)))
0.0b	(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
0.0b	(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
0.2b	(* (* v v) 3.0)

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`associate-r`
23×	`add-cbrt-cube` `add-exp-log`
18×	`*-un-lft-identity` `add-cube-cbrt`
17×	`pow1`
14×	`times-frac`
11×	`sqrt-prod`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-l`
7×	`pow-prod-down`
6×	`sqrt-div` `associate-*r/`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--` `difference-of-squares`
2×	`frac-times` `cbrt-undiv` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 102

Calls

4 calls:

4.0ms	(sqrt (- 1.0 (* (* v v) 3.0)))
27.0ms	(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
86.0ms	(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
25.0ms	(* (* v v) 3.0)

series1.2s

Counts

4 → 12

Calls

4 calls:

138.0ms	(sqrt (- 1.0 (* (* v v) 3.0)))
595.0ms	(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
430.0ms	(* (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0)) (sqrt (- 1.0 (* (* v v) 3.0))))
45.0ms	(* (* v v) 3.0)

simplify2.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	4405
1	676
0	241

prune583.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
20×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
7×	`associate-r` `unswap-sqr`
6×	`sqrt-div`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down`
3×	`flip3--` `flip--` `add-log-exp`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `div-inv`

Counts

3 → 86

Calls

3 calls:

4.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
37.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
33.0ms	(* 3.0 (* v v))

series460.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
289.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
41.0ms	(* 3.0 (* v v))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2367
1	491
0	190

prune516.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (sqrt 2.0) (/ (sqrt 1.0) (pow v 4)))
1.0b	(* 0.375 (sqrt 2.0))
1.0b	(* (sqrt 2.0) 0.28125)
1.2b	(/ (* 0.375 (sqrt 2.0)) (/ (/ (sqrt 1.0) v) v))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

880×	`times-frac`
425×	`add-sqr-sqrt`
417×	`*-un-lft-identity` `add-cube-cbrt`
350×	`sqrt-prod`
126×	`unpow-prod-down`
116×	`associate-/r*`
42×	`sqr-pow`
39×	`add-exp-log`
34×	`add-cbrt-cube`
19×	`div-exp`
17×	`div-inv`
15×	`cbrt-undiv`
9×	`associate-r` `associate-l`
8×	`pow1`
7×	`associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/r/` `*-commutative`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 553

Calls

4 calls:

32.0ms	(/ (sqrt 2.0) (/ (sqrt 1.0) (pow v 4)))
8.0ms	(* 0.375 (sqrt 2.0))
8.0ms	(* (sqrt 2.0) 0.28125)
24.0ms	(/ (* 0.375 (sqrt 2.0)) (/ (/ (sqrt 1.0) v) v))

series325.0ms

Counts

4 → 8

Calls

4 calls:

125.0ms	(/ (sqrt 2.0) (/ (sqrt 1.0) (pow v 4)))
0.0ms	(* 0.375 (sqrt 2.0))
0.0ms	(* (sqrt 2.0) 0.28125)
199.0ms	(/ (* 0.375 (sqrt 2.0)) (/ (/ (sqrt 1.0) v) v))

simplify1.7s

Counts

561 → 561

Iterations

Iter	Nodes
done	5001
1	2507
0	867

prune4.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	8055×	body	80	nan
660.0ms	8000×	body	80	valid