Details

sample125.0ms

Algorithm

intervals

Results

42.0ms	81×	body	2560	valid
29.0ms	86×	body	1280	valid
17.0ms	231×	body	80	nan
11.0ms	43×	body	640	valid
4.0ms	20×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	8×	body	80	valid

simplify5.7s

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

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)))

rewrite50.0ms

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:

25.0ms	(/ (- 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)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
39.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.2s

Counts

78 → 78

Iterations

Useful iterations: done (2.2s)

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

prune288.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize35.0ms

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)))

rewrite30.0ms

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×	`expm1-log1p-u` `exp-prod` `log1p-expm1-u` `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 → 62

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)))))
21.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
5.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
48.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify4.0s

Counts

74 → 74

Iterations

Useful iterations: 4 (708.0ms)

Iter	Nodes	Cost
0	88	1166
1	148	1122
2	309	956
3	601	956
4	936	950
5	2287	950
done	5000	950

prune190.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.7b

localize31.0ms

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)))

rewrite30.0ms

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×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `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 → 69

Calls

4 calls:

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

series502.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
358.0ms	(pow E (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
41.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.7s

Counts

81 → 81

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	102	1405
1	197	1347
2	445	1180
3	1041	1180
4	2407	1178
done	5000	1166

prune338.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize24.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 70

Calls

4 calls:

3.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
9.0ms	(pow E (pow (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 1))
20.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series611.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
415.0ms	(pow E (pow (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 1))
49.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify5.9s

Counts

82 → 82

Iterations

Useful iterations: 4 (2.7s)

Iter	Nodes	Cost
0	111	1435
1	207	1314
2	491	1163
3	1311	1163
4	4912	1158
done	5000	1158

prune353.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

regimes116.0ms

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

sample5.6s

Algorithm

intervals

Results

2.2s	3006×	body	2560	valid
1.1s	2396×	body	1280	valid
1.1s	7982×	body	80	nan
502.0ms	1299×	body	640	valid
172.0ms	620×	body	320	valid
71.0ms	454×	body	160	valid
19.0ms	225×	body	80	valid