Details

sample171.0ms

Algorithm

intervals

Results

58.0ms	82×	body	2560	valid
51.0ms	104×	body	1280	valid
21.0ms	256×	body	80	nan
13.0ms	35×	body	640	valid
4.0ms	13×	body	320	valid
3.0ms	15×	body	160	valid
1.0ms	7×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5018
8	4522
7	1213
6	455
5	218
4	138
3	77
2	42
1	20
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize29.0ms

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))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
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×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

22.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
26.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
31.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.5s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1179
1	372
0	145

prune335.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize23.0ms

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)))))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
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×	`acos-asin` `cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-r` `*-commutative` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

36.0ms	(/ (- 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)))))
22.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
192.0ms	(expm1 (log1p (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
48.0ms	(* 5.0 (* v v))
8.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify1.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	1209
1	388
0	156

prune530.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.9b	(log (exp (* 5.0 (* v v))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
24×	`times-frac`
18×	`add-cube-cbrt`
15×	`pow1`
12×	`difference-of-squares`
11×	`add-cbrt-cube` `add-exp-log`
10×	`distribute-lft-out--`
8×	`log-pow`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`log-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`acos-asin` `cbrt-undiv` `exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `div-sub` `div-exp` `rem-log-exp` `associate-r` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

56.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
13.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.0ms	(log (exp (* 5.0 (* v v))))

series176.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
35.0ms	(* 5.0 (* v v))
7.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
43.0ms	(log (exp (* 5.0 (* v v))))

simplify2.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
3	4110
2	1152
1	431
0	175

prune601.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize76.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))))
1.0b	(* (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
2.9b	(log (exp (* 5.0 (* v v))))
2.9b	(log (exp (* 5.0 (* v v))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`pow1`
21×	`sqrt-prod`
15×	`*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`log-prod` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `log-pow` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`exp-prod` `exp-to-pow` `rem-log-exp`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))))
20.0ms	(* (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
7.0ms	(log (exp (* 5.0 (* v v))))
7.0ms	(log (exp (* 5.0 (* v v))))

series127.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))))
5.0ms	(* (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))))
52.0ms	(log (exp (* 5.0 (* v v))))
50.0ms	(log (exp (* 5.0 (* v v))))

simplify4.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
4	3137
3	787
2	305
1	166
0	89

prune464.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes229.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.9s	3014×	body	2560	valid
1.3s	2492×	body	1280	valid
1.2s	8171×	body	80	nan
477.0ms	1252×	body	640	valid
138.0ms	630×	body	320	valid
107.0ms	408×	body	160	valid
17.0ms	204×	body	80	valid