Details

sample138.0ms

Algorithm

intervals

Results

53.0ms	237×	body	10240	exit
34.0ms	92×	body	1280	valid
23.0ms	101×	body	640	valid
12.0ms	30×	body	320	valid
2.0ms	20×	body	160	valid
1.0ms	13×	body	80	valid

simplify2.8s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.5b	(- (exp x) (exp (- x)))

rewrite97.0ms

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)))
65.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
16.0ms	(- (exp x) (exp (- x)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (exp x) (exp (- x)))
106.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
47.0ms	(- (exp x) (exp (- x)))

simplify2.5s

Counts

103 → 103

Iterations

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

prune463.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

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)

series114.0ms

Counts

1 → 3

Calls

1 calls:

113.0ms

(tanh x)

simplify1.9s

Counts

15 → 15

Iterations

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

prune89.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize28.0ms

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)
0.4b	(* x -1/3)

rewrite42.0ms

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))
29.0ms	(* (* x -1/3) x)
10.0ms	(* x -1/3)

series274.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(fma 2/15 (pow x 5) x)
80.0ms	(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
27.0ms	(* (* x -1/3) x)
19.0ms	(* x -1/3)

simplify1.9s

Counts

72 → 72

Iterations

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

prune332.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

2.0ms	(sqrt (tanh x))
1.0ms	(tanh x)
1.0ms	(tanh x)
16.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(sqrt (tanh x))
120.0ms	(tanh x)
140.0ms	(tanh x)
101.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

simplify2.8s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
3	2677
2	634
1	237
0	133

prune450.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

47.2% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.9b

bsearch31.0ms

Steps

Iters	Range		Point
6	1.7501962730858363e-09	1.0117869227030548e-08	5.249326471263704e-09

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample8.3s

Algorithm

intervals

Results

4.8s	7703×	body	10240	exit
1.9s	3333×	body	1280	valid
853.0ms	2420×	body	640	valid
284.0ms	1234×	body	320	valid
73.0ms	601×	body	160	valid
26.0ms	412×	body	80	valid