Details

sample100.0ms

Algorithm

intervals

Results

42.0ms	103×	body	2560	valid
16.0ms	61×	body	1280	valid
9.0ms	250×	body	80	nan
9.0ms	44×	body	640	valid
4.0ms	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	19	14
2	42	14
3	77	14
4	146	14
5	222	14
6	297	14
7	436	14
8	1043	14
done	5000	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

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)))

rewrite48.0ms

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×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `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 → 63

Calls

3 calls:

27.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
18.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
27.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.6s

Counts

72 → 72

Iterations

Useful iterations: 3 (841.0ms)

Iter	Nodes	Cost
0	139	1198
1	322	1158
2	959	1054
3	2995	1052
done	5000	1052

prune200.0ms

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	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.0b	(log (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)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-exp-log`
9×	`add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`log-prod`
4×	`exp-prod` `add-log-exp`
3×	`associate-l` `exp-sum` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-pow`
1×	`acos-asin` `rem-log-exp` `associate-r` `*-commutative` `rem-exp-log` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

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

series137.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
95.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
30.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.7s

Counts

66 → 66

Iterations

Useful iterations: 4 (653.0ms)

Iter	Nodes	Cost
0	80	1058
1	140	1018
2	301	852
3	606	852
4	955	846
5	2294	846
done	5000	846

prune200.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize14.0ms

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)))

rewrite44.0ms

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×	`add-log-exp`
2×	`acos-asin` `associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

20.0ms	(* 5.0 (* v v))
20.0ms	(* 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)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 5.0 (* v v))
28.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.3s

Counts

66 → 66

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	53	742
1	105	736
2	262	620
3	554	620
4	875	620
5	2155	620
done	5000	620

prune223.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
1.0b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
1.0b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.2b	(log (exp (* 5.0 (* v v))))

rewrite31.0ms

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`
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 → 49

Calls

4 calls:

20.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
7.0ms	(log (exp (* 5.0 (* v v))))

series114.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 5.0 (* v v))
9.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
47.0ms	(log (exp (* 5.0 (* v v))))

simplify4.1s

Counts

61 → 61

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	82	759
1	136	705
2	288	603
3	600	603
4	1016	603
5	3348	603
done	5001	601

prune470.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.0b

regimes169.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	13	34
1	14	34
done	14	34

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	2961×	body	2560	valid
845.0ms	2548×	body	1280	valid
327.0ms	8080×	body	80	nan
288.0ms	1202×	body	640	valid
119.0ms	659×	body	320	valid
49.0ms	406×	body	160	valid
16.0ms	224×	body	80	valid