Details

sample142.0ms

Algorithm

intervals

Results

54.0ms	240×	body	10240	exit
43.0ms	106×	body	1280	valid
17.0ms	69×	body	640	valid
8.0ms	49×	body	320	valid
2.0ms	17×	body	160	valid
1.0ms	15×	body	80	valid

simplify3.4s

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	52	13
6	55	13
7	87	13
8	100	13
9	136	13
10	201	13
11	355	13
12	892	13
13	2913	13
done	5000	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize7.0ms

Local error

Found 2 expressions with local error:

1.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite94.0ms

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×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 61

Calls

2 calls:

76.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
44.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

67 → 67

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	106	1228
1	250	1185
2	650	1107
3	1646	1103
done	5001	1095

prune204.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

3.0ms

(tanh x)

series137.0ms

Counts

1 → 3

Calls

1 calls:

137.0ms

(tanh x)

simplify2.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	42	107
1	89	83
2	194	79
3	549	79
4	2651	79
done	5001	79

prune22.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
0.0b	(+ x (* 2/15 (pow x 5)))
0.1b	(* 2/15 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `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` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `associate--l+` `flip--` `flip-+`

Counts

4 → 81

Calls

4 calls:

41.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
5.0ms	(+ x (* 2/15 (pow x 5)))
11.0ms	(* 2/15 (pow x 5))
16.0ms	(* 1/3 (pow x 3))

series384.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
201.0ms	(+ x (* 2/15 (pow x 5)))
52.0ms	(* 2/15 (pow x 5))
64.0ms	(* 1/3 (pow x 3))

simplify3.2s

Counts

93 → 93

Iterations

Useful iterations: 3 (900.0ms)

Iter	Nodes	Cost
0	133	981
1	319	861
2	957	823
3	4564	812
done	5001	812

prune218.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))))
1.3b	(/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
177×	`*-un-lft-identity`
125×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
31×	`associate-/r*`
26×	`distribute-lft-out`
22×	`distribute-lft-out--` `difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `flip3-+` `diff-log` `flip-+` `inv-pow`

Counts

3 → 187

Calls

3 calls:

60.0ms	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))))
62.0ms	(/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x))))
20.0ms	(- (exp x) (exp (- x)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ 1 (/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x)))))
78.0ms	(/ (+ (exp x) (exp (- x))) (- (exp x) (exp (- x))))
36.0ms	(- (exp x) (exp (- x)))

simplify2.3s

Counts

196 → 196

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	237	4755
1	520	4267
2	1226	3936
3	3234	3817
done	5000	3817

prune302.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.8s	7604×	body	10240	exit
1.4s	3256×	body	1280	valid
653.0ms	2480×	body	640	valid
195.0ms	1227×	body	320	valid
59.0ms	606×	body	160	valid
27.0ms	431×	body	80	valid