Details

sample171.0ms

Algorithm

intervals

Results

61.0ms	90×	body	1280	valid
49.0ms	81×	body	2560	valid
18.0ms	270×	body	80	nan
12.0ms	40×	body	640	valid
6.0ms	24×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	6×	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: 0.5b

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))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite59.0ms

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:

36.0ms	(/ (- 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)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
37.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.0s

Counts

78 → 78

Iterations

Useful iterations: done (2.0s)

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

prune261.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 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))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `expm1-log1p` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

53.0ms	(/ (- 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)))))
33.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
173.0ms	(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
39.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.0s

Counts

92 → 92

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	156	1530
1	346	1461
2	1027	1330
3	3283	1328
done	5000	1326

prune404.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.0b	(- (exp (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 1)
0.1b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
21×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `prod-diff`
6×	`add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `sub-neg` `expm1-def` `frac-2neg` `diff-log` `difference-of-sqr-1` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

59.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
25.0ms	(- (exp (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 1)
21.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
245.0ms	(- (exp (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 1)
32.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.8s

Counts

112 → 112

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	199	2315
1	442	2071
2	1180	1810
3	3686	1707
done	5000	1704

prune457.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.1b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite70.0ms

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))
31.0ms	(* 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)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* 5.0 (* v v))
49.0ms	(* 5.0 (* v v))
7.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
9.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.6s

Counts

74 → 74

Iterations

Useful iterations: 2 (75.0ms)

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

prune384.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

regimes168.0ms

Accuracy

0% (0.3b remaining)

Error of 0.8b against oracle of 0.5b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
done	11	13

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.3s	2939×	body	2560	valid
1.6s	2516×	body	1280	valid
973.0ms	7862×	body	80	nan
373.0ms	1266×	body	640	valid
137.0ms	632×	body	320	valid
63.0ms	438×	body	160	valid
17.0ms	209×	body	80	valid