Details

sample223.0ms

Algorithm

intervals

Results

84.0ms	241×	body	10240	exit
55.0ms	81×	body	640	valid
53.0ms	99×	body	1280	valid
10.0ms	44×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	14×	body	80	valid

simplify8.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	31	13
4	42	13
5	66	13
6	130	13
7	523	13
8	3482	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.6b	(- (exp x) (exp (- x)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `tanh-undef` `div-inv`

Counts

3 → 73

Calls

3 calls:

11.0ms	(+ (exp x) (exp (- x)))
43.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
19.0ms	(- (exp x) (exp (- x)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (exp x) (exp (- x)))
94.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
76.0ms	(- (exp x) (exp (- x)))

simplify603.0ms

Counts

82 → 82

Iterations

Useful iterations: done (599.0ms)

Iter	Nodes	Cost
0	117	1385
1	293	1333
2	1242	1241
done	5001	1239

prune453.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

2.0ms

(tanh x)

series127.0ms

Counts

1 → 3

Calls

1 calls:

127.0ms

(tanh x)

simplify2.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	42	107
1	92	83
2	227	79
3	812	79
4	4595	79
done	5002	79

prune40.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* 2/15 (pow x 5)))
0.0b	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
0.1b	(* 2/15 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `sum-log` `diff-log` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `+-commutative` `sub-neg` `flip3-+` `flip3--` `unpow3` `associate--l+` `flip-+` `flip--`

Counts

4 → 81

Calls

4 calls:

4.0ms	(+ x (* 2/15 (pow x 5)))
43.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
13.0ms	(* 2/15 (pow x 5))
10.0ms	(* 1/3 (pow x 3))

series426.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(+ x (* 2/15 (pow x 5)))
84.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
88.0ms	(* 2/15 (pow x 5))
45.0ms	(* 1/3 (pow x 3))

simplify695.0ms

Counts

93 → 93

Iterations

Useful iterations: done (690.0ms)

Iter	Nodes	Cost
0	133	981
1	345	861
2	1327	823
done	5001	812

prune426.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 2/15 (pow x 5))
0.1b	(* 2/15 (pow x 5))
0.1b	(* 1/3 (pow x 3))
0.2b	(* (sqrt (+ x (* 2/15 (pow x 5)))) (sqrt (+ x (* 2/15 (pow x 5)))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
32×	`associate-r`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
19×	`pow1`
18×	`sqrt-prod`
15×	`associate-l`
14×	`unswap-sqr`
12×	`unpow-prod-down` `add-cbrt-cube` `sqrt-div`
10×	`prod-exp`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`flip3-+` `flip-+` `sqr-pow`
5×	`pow-prod-up`
4×	`frac-times` `cube-prod` `*-commutative` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `pow-exp` `pow-sqr`
2×	`associate-l/` `associate-r/`
1×	`pow2` `cube-mult` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unpow3`

Counts

4 → 138

Calls

4 calls:

9.0ms	(* 2/15 (pow x 5))
10.0ms	(* 2/15 (pow x 5))
16.0ms	(* 1/3 (pow x 3))
30.0ms	(* (sqrt (+ x (* 2/15 (pow x 5)))) (sqrt (+ x (* 2/15 (pow x 5)))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* 2/15 (pow x 5))
71.0ms	(* 2/15 (pow x 5))
42.0ms	(* 1/3 (pow x 3))
132.0ms	(* (sqrt (+ x (* 2/15 (pow x 5)))) (sqrt (+ x (* 2/15 (pow x 5)))))

simplify1.2s

Counts

150 → 150

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	178	2108
1	434	1453
2	1756	1345
done	5001	1317

prune580.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample8.6s

Algorithm

intervals

Results

4.4s	7425×	body	10240	exit
2.0s	3391×	body	1280	valid
1.4s	2390×	body	640	valid
249.0ms	1209×	body	320	valid
79.0ms	601×	body	160	valid
39.0ms	409×	body	80	valid