Details

sample110.0ms

Algorithm

intervals

Results

48.0ms	94×	body	2560	valid
24.0ms	84×	body	1280	valid
11.0ms	273×	body	80	nan
7.0ms	32×	body	640	valid
4.0ms	30×	body	320	valid
1.0ms	12×	body	160	valid
0.0ms	4×	body	80	valid

simplify762.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	906
5	235
4	146
3	77
2	42
1	19
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.3b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

22.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
22.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
35.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.4s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1987
1	366
0	139

prune334.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0))
0.1b	(* (* v v) (* v v))
0.2b	(* 5.0 (* v v))
0.3b	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

122×	`pow1`
36×	`pow-prod-up`
27×	`pow-prod-down`
26×	`add-cbrt-cube` `add-exp-log`
22×	`associate-l` `pow-sqr`
20×	`add-sqr-sqrt`
18×	`pow-plus`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow2` `times-frac` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative` `difference-of-squares`
2×	`frac-times` `flip3-+` `associate-*r/` `associate-/r/` `flip-+`
1×	`distribute-rgt-in` `acos-asin` `cbrt-undiv` `distribute-lft-in` `flip3--` `swap-sqr` `div-exp` `associate-*l/` `div-inv` `flip--`

Counts

4 → 133

Calls

4 calls:

197.0ms	(* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0))
46.0ms	(* (* v v) (* v v))
18.0ms	(* 5.0 (* v v))
2.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0))
55.0ms	(* (* v v) (* v v))
42.0ms	(* 5.0 (* v v))
10.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))

simplify2.9s

Counts

145 → 145

Iterations

Iter	Nodes
done	5001
2	4629
1	704
0	194

prune503.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))))
0.1b	(* (* v v) (* v v))
0.2b	(* 5.0 (* v v))
0.3b	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

121×	`pow1`
36×	`pow-prod-up`
26×	`pow-prod-down`
22×	`pow-sqr`
21×	`add-cbrt-cube` `add-exp-log`
18×	`pow-plus`
13×	`pow2`
11×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`exp-prod` `associate-l` `add-log-exp`
3×	`log-prod` `exp-sum`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`acos-asin` `swap-sqr` `log-pow` `rem-exp-log`

Counts

4 → 105

Calls

4 calls:

3.0ms	(exp (log (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))))
36.0ms	(* (* v v) (* v v))
22.0ms	(* 5.0 (* v v))
3.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(exp (log (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))))
42.0ms	(* (* v v) (* v v))
32.0ms	(* 5.0 (* v v))
7.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))

simplify1.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	1814
1	302
0	113

prune331.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))
1.0b	(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0))))
1.0b	(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0))))
1.0b	(* (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))) (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 83

Calls

4 calls:

1.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))
2.0ms	(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0))))
1.0ms	(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0))))
24.0ms	(* (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))) (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))
25.0ms	(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0))))
24.0ms	(sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0))))
9.0ms	(* (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))) (sqrt (acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (* (* v v) (* v v)) (* 1.0 1.0))) (+ (* v v) 1.0)))))

simplify5.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
3	4946
2	750
1	178
0	79

prune373.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

regimes96.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.8s	2971×	body	2560	valid
1.1s	2545×	body	1280	valid
765.0ms	1216×	body	640	valid
572.0ms	7960×	body	80	nan
121.0ms	643×	body	320	valid
55.0ms	430×	body	160	valid
14.0ms	195×	body	80	valid