Details

sample163.0ms

Algorithm

intervals

Results

67.0ms	261×	body	10240	exit
44.0ms	111×	body	1280	valid
27.0ms	72×	body	640	valid
6.0ms	40×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	14×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5010
13	2564
12	739
11	416
10	285
9	201
8	156
7	122
6	81
5	59
4	41
3	31
2	25
1	15
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.7b	(- (exp x) (exp (- x)))

rewrite90.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `fma-def` `fma-neg` `log1p-expm1-u`
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 → 94

Calls

3 calls:

14.0ms	(+ (exp x) (exp (- x)))
54.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
19.0ms	(- (exp x) (exp (- x)))

series475.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (exp x) (exp (- x)))
387.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
51.0ms	(- (exp x) (exp (- x)))

simplify2.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3724
2	1044
1	357
0	147

prune490.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

1.0ms

(tanh x)

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(tanh x)

simplify2.0s

Counts

15 → 15

Iterations

Iter	Nodes
done	5032
4	2952
3	635
2	208
1	93
0	44

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2/15 (pow x 5) x)
0.0b	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
0.1b	(* (* x -1/3) x)
0.3b	(* x -1/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef`
1×	`unswap-sqr`

Counts

4 → 60

Calls

4 calls:

0.0ms	(fma 2/15 (pow x 5) x)
0.0ms	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
25.0ms	(* (* x -1/3) x)
8.0ms	(* x -1/3)

series287.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(fma 2/15 (pow x 5) x)
84.0ms	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
40.0ms	(* (* x -1/3) x)
17.0ms	(* x -1/3)

simplify2.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2367
2	555
1	188
0	85

prune417.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh x)
0.0b	(tanh x)
0.3b	(* (sqrt (tanh x)) (sqrt (tanh x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`tanh-def`
9×	`frac-times`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 90

Calls

3 calls:

1.0ms	(tanh x)
1.0ms	(tanh x)
17.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

series324.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(tanh x)
115.0ms	(tanh x)
94.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5102
3	2073
2	486
1	222
0	118

prune423.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample8.5s

Algorithm

intervals

Results

4.8s	7688×	body	10240	exit
1.9s	3325×	body	1280	valid
941.0ms	2458×	body	640	valid
397.0ms	1192×	body	320	valid
80.0ms	622×	body	160	valid
27.0ms	403×	body	80	valid