Details

sample211.0ms

Algorithm

intervals

Results

85.0ms	253×	body	10240	exit
52.0ms	113×	body	1280	valid
43.0ms	77×	body	640	valid
8.0ms	41×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	10×	body	80	valid

simplify3.6s

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	56	13
6	59	13
7	95	13
8	110	13
9	155	13
10	227	13
11	395	13
12	965	13
13	3061	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize9.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.6b	(- (exp x) (exp (- x)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `times-frac`
9×	`prod-diff`
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`
3×	`fma-neg`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `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 → 77

Calls

2 calls:

81.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
25.0ms	(- (exp x) (exp (- x)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
49.0ms	(- (exp x) (exp (- x)))

simplify2.6s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	134	1618
1	308	1438
2	858	1284
3	3357	1224
done	5000	1224

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

1.0ms

(tanh x)

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

(tanh x)

simplify1.7s

Counts

15 → 15

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	44	113
1	92	87
2	201	82
3	594	81
4	2826	81
done	5000	81

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))

simplify2.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	24	188
1	46	185
2	125	160
3	537	160
4	3575	160
done	5000	160

prune40.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.3b	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
5.6b	(- 1 (exp (* -2 x)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
24×	`times-frac`
23×	`add-cube-cbrt`
12×	`difference-of-squares`
9×	`prod-diff`
8×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 99

Calls

3 calls:

13.0ms	(+ 1 (exp (* -2 x)))
67.0ms	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
17.0ms	(- 1 (exp (* -2 x)))

series89.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ 1 (exp (* -2 x)))
58.0ms	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
19.0ms	(- 1 (exp (* -2 x)))

simplify3.1s

Counts

108 → 108

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	146	1968
1	331	1686
2	857	1517
3	3042	1460
done	5000	1428

prune236.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

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

sample8.0s

Algorithm

intervals

Results

4.4s	7558×	body	10240	exit
1.8s	3398×	body	1280	valid
934.0ms	2364×	body	640	valid
352.0ms	1213×	body	320	valid
72.0ms	606×	body	160	valid
26.0ms	419×	body	80	valid