Details

sample178.0ms

Algorithm

intervals

Results

71.0ms	105×	body	2560	valid
38.0ms	79×	body	1280	valid
21.0ms	34×	body	640	valid
18.0ms	281×	body	80	nan
6.0ms	23×	body	320	valid
2.0ms	10×	body	160	valid
1.0ms	5×	body	80	valid

simplify918.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	944
5	254
4	155
3	84
2	43
1	20
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite72.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 69

Calls

3 calls:

42.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
25.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
49.0ms	(* 5.0 (* v v))
9.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.8s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1832
1	373
0	145

prune476.0ms

Pruning

4 alts after pruning (4 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) 1.0))
0.0b	(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.1b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`acos-asin` `cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

19.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0ms	(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
13.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

461.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
176.0ms	(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
37.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2006
1	390
0	156

prune600.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (/ (- (* v v) 1.0) (* v v))))
0.1b	(/ (- (* v v) 1.0) (* v v))
0.4b	(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (/ (- (* v v) 1.0) (* v v)))))
0.7b	(/ 5.0 (/ (- (* v v) 1.0) (* v v)))

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

1063×	`times-frac`
702×	`add-sqr-sqrt`
539×	`*-un-lft-identity`
533×	`add-cube-cbrt`
522×	`prod-diff`
156×	`difference-of-squares`
108×	`div-inv`
79×	`associate-/r/`
32×	`flip3--` `flip--`
18×	`add-cbrt-cube` `fma-neg` `add-exp-log`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `associate-/l/`
1×	`acos-asin` `sub-neg` `diff-log` `div-sub` `frac-sub`

Counts

4 → 655

Calls

4 calls:

143.0ms	(- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (/ (- (* v v) 1.0) (* v v))))
37.0ms	(/ (- (* v v) 1.0) (* v v))
52.0ms	(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (/ (- (* v v) 1.0) (* v v)))))
15.0ms	(/ 5.0 (/ (- (* v v) 1.0) (* v v)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (/ (- (* v v) 1.0) (* v v))))
128.0ms	(/ (- (* v v) 1.0) (* v v))
11.0ms	(acos (- (/ 1.0 (- (* v v) 1.0)) (/ 5.0 (/ (- (* v v) 1.0) (* v v)))))
104.0ms	(/ 5.0 (/ (- (* v v) 1.0) (* v v)))

simplify2.4s

Counts

667 → 667

Iterations

Iter	Nodes
done	5001
1	2165
0	895

prune5.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite16.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 91

Calls

4 calls:

1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
10.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series60.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
24.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
26.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
5.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	2201
2	429
1	144
0	77

prune369.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

regimes166.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
0	10

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.0s	2927×	body	2560	valid
1.9s	2526×	body	1280	valid
539.0ms	8005×	body	80	nan
422.0ms	1306×	body	640	valid
134.0ms	619×	body	320	valid
97.0ms	419×	body	160	valid
17.0ms	203×	body	80	valid