Details

sample133.0ms

Algorithm

intervals

Results

44.0ms	86×	body	1280	valid
40.0ms	81×	body	2560	valid
12.0ms	231×	body	80	nan
11.0ms	43×	body	640	valid
3.0ms	20×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	8×	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: 0.7b

localize9.0ms

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))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite49.0ms

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:

28.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
17.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
28.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.7s

Counts

72 → 72

Iterations

Useful iterations: 3 (877.0ms)

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

prune216.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.2b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite24.0ms

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:

1.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
17.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
9.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
38.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.9s

Counts

66 → 66

Iterations

Useful iterations: 4 (719.0ms)

Iter	Nodes	Cost
0	80	1058
1	140	1018
2	301	852
3	606	852
4	962	846
5	2299	846
done	5000	846

prune194.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b	(pow E (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.2b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

2.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
6.0ms	(pow E (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
17.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series522.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
368.0ms	(pow E (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
36.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.2s

Counts

73 → 73

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	94	1295
1	188	1237
2	432	1076
3	1022	1076
4	2384	1074
done	5001	1062

prune238.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b	(pow E (pow (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 1))
0.2b	(* 5.0 (* v v))
0.7b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

2.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
8.0ms	(pow E (pow (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 1))
19.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series605.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
455.0ms	(pow E (pow (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 1))
38.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify4.8s

Counts

74 → 74

Iterations

Useful iterations: 4 (2.4s)

Iter	Nodes	Cost
0	103	1321
1	198	1204
2	479	1059
3	1291	1059
4	4782	1054
done	5001	1054

prune260.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	19
1	18	17
done	18	17

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.1s	3006×	body	2560	valid
1.6s	2396×	body	1280	valid
973.0ms	7982×	body	80	nan
436.0ms	1299×	body	640	valid
137.0ms	620×	body	320	valid
69.0ms	454×	body	160	valid
19.0ms	225×	body	80	valid