Details

sample197.0ms

Algorithm

intervals

Results

103.0ms	269×	body	10240	exit
45.0ms	107×	body	1280	valid
22.0ms	85×	body	640	valid
6.0ms	34×	body	320	valid
2.0ms	17×	body	160	valid
1.0ms	13×	body	80	valid

simplify3.3s

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: 58.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
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` `tanh-undef` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 94

Calls

3 calls:

13.0ms	(+ (exp x) (exp (- x)))
73.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
27.0ms	(- (exp x) (exp (- x)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (exp x) (exp (- x)))
112.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
45.0ms	(- (exp x) (exp (- x)))

simplify2.9s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	147	1789
1	342	1599
2	944	1426
3	3562	1362
done	5000	1362

prune266.0ms

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)

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:

2.0ms

(tanh x)

series113.0ms

Counts

1 → 3

Calls

1 calls:

113.0ms

(tanh x)

simplify2.0s

Counts

15 → 15

Iterations

Useful iterations: 3 (109.0ms)

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

prune50.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series266.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))
177.0ms	(fma 2/15 (pow x 5) x)

simplify3.6s

Counts

26 → 26

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	33	298
1	56	292
2	155	255
3	679	255
4	4223	255
done	5000	255

prune96.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(tanh x)
4.7b	(log (exp (tanh x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
3×	`pow1` `log-prod` `exp-prod`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-log-exp` `tanh-def`

Counts

2 → 29

Calls

2 calls:

1.0ms	(tanh x)
3.0ms	(log (exp (tanh x)))

series602.0ms

Counts

2 → 6

Calls

2 calls:

497.0ms	(tanh x)
104.0ms	(log (exp (tanh x)))

simplify2.0s

Counts

35 → 35

Iterations

Useful iterations: 3 (165.0ms)

Iter	Nodes	Cost
0	67	266
1	119	181
2	234	168
3	622	166
4	2887	166
done	5000	166

prune106.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

49.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.0b

bsearch57.0ms

Steps

Iters	Range		Point
9	-108.06719872485291	-0.00012163823945093722	-0.005609947366707223

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
done	15	19

end0.0ms

sample7.5s

Algorithm

intervals

Results

4.1s	7765×	body	10240	exit
1.7s	3336×	body	1280	valid
967.0ms	2401×	body	640	valid
290.0ms	1172×	body	320	valid
105.0ms	646×	body	160	valid
26.0ms	445×	body	80	valid