Details

sample127.0ms

Algorithm

intervals

Results

50.0ms	97×	body	1280	valid
37.0ms	87×	body	2560	valid
11.0ms	262×	body	80	nan
8.0ms	36×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	6×	body	80	valid

simplify5.5s

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: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

20.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify4.2s

Counts

37 → 37

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	57	413
1	109	410
2	267	352
3	561	352
4	878	352
5	2162	352
done	5000	352

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize26.0ms

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)))))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite30.0ms

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:

0.0ms	(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)))))
20.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
191.0ms	(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
51.0ms	(* 5.0 (* v v))
6.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify4.1s

Counts

65 → 65

Iterations

Useful iterations: 2 (74.0ms)

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

prune240.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite66.0ms

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))
26.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 5.0 (* v v))
41.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify4.0s

Counts

74 → 74

Iterations

Useful iterations: 2 (79.0ms)

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

prune394.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.4b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.2b	(log (exp (* 5.0 (* v v))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

39.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
6.0ms	(log (exp (* 5.0 (* v v))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
14.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
52.0ms	(log (exp (* 5.0 (* v v))))

simplify4.4s

Counts

69 → 69

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	90	851
1	143	789
2	297	687
3	595	687
4	968	687
5	3334	687
done	5001	685

prune418.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

regimes197.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	36
1	22	36
done	22	36

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.0s	3086×	body	2560	valid
1.6s	2446×	body	1280	valid
1.1s	7995×	body	80	nan
544.0ms	1234×	body	640	valid
133.0ms	604×	body	320	valid
62.0ms	423×	body	160	valid
17.0ms	207×	body	80	valid