Details

sample271.0ms

Algorithm

intervals

Results

149.0ms	272×	body	10240	exit
65.0ms	121×	body	1280	valid
24.0ms	68×	body	640	valid
8.0ms	37×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	301
1	15	301
2	25	301
3	31	301
4	41	301
5	55	301
6	81	301
7	111	301
8	153	301
9	196	301
10	396	301
11	1389	301
done	5002	301

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.1b	(- (exp x) (exp (- x)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

47.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
20.0ms	(- (exp x) (exp (- x)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
53.0ms	(- (exp x) (exp (- x)))

simplify3.9s

Counts

67 → 67

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	106	31037
1	264	29503
2	766	27916
3	2582	27841
done	5002	27772

prune346.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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)

series112.0ms

Counts

1 → 3

Calls

1 calls:

112.0ms

(tanh x)

simplify3.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	42	3134
1	92	2512
2	205	2441
3	634	2441
4	3011	2441
done	5002	2441

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
5×	`pow-prod-up`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative`
2×	`diff-log` `sqr-pow`
1×	`pow2` `pow-to-exp` `sum-log` `sub-neg` `pow-plus` `flip3--` `cube-unmult` `pow-exp` `associate--l+` `pow-sqr` `flip--`

Counts

4 → 84

Calls

4 calls:

49.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (* x (* x x))))
13.0ms	(* 2/15 (pow x 5))
13.0ms	(* x (* x x))
62.0ms	(* 1/3 (* x (* x x)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (* x (* x x))))
94.0ms	(* 2/15 (pow x 5))
53.0ms	(* x (* x x))
52.0ms	(* 1/3 (* x (* x x)))

simplify2.3s

Counts

96 → 96

Iterations

Useful iterations: 2 (376.0ms)

Iter	Nodes	Cost
0	129	27188
1	317	23741
2	1045	23263
done	5000	23263

prune386.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp x) (exp x))
0.5b	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
0.5b	(/ (/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))
4.0b	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

188×	`*-un-lft-identity`
184×	`times-frac`
94×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
48×	`distribute-lft-out`
26×	`associate-/l*` `difference-of-squares`
18×	`exp-prod`
14×	`associate-/r/`
13×	`add-cbrt-cube`
11×	`pow1` `add-exp-log`
8×	`associate-/r*`
7×	`flip3-+` `flip-+` `div-inv`
6×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
3×	`div-sub` `swap-sqr` `associate-r` `associate-l` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`pow2` `sub-neg` `pow-plus` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 220

Calls

4 calls:

27.0ms	(* (exp x) (exp x))
68.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
128.0ms	(/ (/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))
30.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

series449.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (exp x) (exp x))
161.0ms	(/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x))))
189.0ms	(/ (/ (- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x)))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x))))
75.0ms	(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))

simplify3.7s

Counts

232 → 232

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	295	145363
1	760	133532
2	3006	131040
done	5003	131000

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes60.0ms

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	56
done	2	56

end0.0ms

sample8.2s

Algorithm

intervals

Results

4.4s	7478×	body	10240	exit
2.3s	3370×	body	1280	valid
803.0ms	2386×	body	640	valid
233.0ms	1191×	body	320	valid
74.0ms	607×	body	160	valid
32.0ms	446×	body	80	valid