Details

sample122.0ms

Algorithm

intervals

Results

50.0ms	103×	body	2560	valid
20.0ms	61×	body	1280	valid
15.0ms	44×	body	640	valid
11.0ms	250×	body	80	nan
5.0ms	28×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	10×	body	80	valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	20	14
2	43	14
3	84	14
4	155	14
5	241	14
6	330	14
7	482	14
8	1107	14
done	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize9.0ms

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
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×	`cbrt-undiv` `acos-asin` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

40.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
21.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
35.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.4s

Counts

78 → 78

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	145	1268
1	335	1223
2	1014	1120
3	3300	1118
done	5001	1116

prune313.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (acos (/ (- 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))
1.0b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt`
5×	`expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`acos-asin` `log1p-udef` `expm1-log1p` `log1p-expm1` `associate-r` `*-commutative` `expm1-udef` `unswap-sqr`

Counts

4 → 53

Calls

4 calls:

1.0ms	(log1p (acos (/ (- 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)))))
30.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
218.0ms	(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
29.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.6s

Counts

65 → 65

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	79	934
1	133	905
2	285	783
3	584	783
4	916	783
5	2195	783
done	5000	783

prune202.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
0.1b	(* 5.0 (pow v 2))
1.0b	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
24×	`times-frac`
19×	`add-cube-cbrt`
16×	`difference-of-squares`
10×	`add-exp-log`
8×	`unpow-prod-down` `associate-r` `associate-/r*`
7×	`add-cbrt-cube`
6×	`unpow2` `sqr-pow`
4×	`distribute-lft-out--` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `associate-l` `prod-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `pow-to-exp` `frac-2neg` `div-sub` `div-exp` `pow-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

3 → 93

Calls

3 calls:

43.0ms	(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
13.0ms	(* 5.0 (pow v 2))
1.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0))
26.0ms	(* 5.0 (pow v 2))
5.0ms	(acos (/ (- 1.0 (* 5.0 (pow v 2))) (- (pow v 2) 1.0)))

simplify2.9s

Counts

102 → 102

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	184	1763
1	411	1690
2	1049	1523
3	3536	1519
done	5000	1516

prune352.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`acos-asin` `associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

33.0ms	(* 5.0 (* v v))
21.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 5.0 (* v v))
34.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
6.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.6s

Counts

74 → 74

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	57	826
1	109	820
2	267	704
3	561	704
4	878	704
5	2162	704
done	5000	704

prune368.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

regimes194.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	11	14
done	11	14

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.5s	2961×	body	2560	valid
838.0ms	2548×	body	1280	valid
324.0ms	8080×	body	80	nan
284.0ms	1202×	body	640	valid
111.0ms	659×	body	320	valid
47.0ms	406×	body	160	valid
15.0ms	224×	body	80	valid