Details

sample297.0ms

Algorithm

intervals

Results

159.0ms	263×	body	10240	exit
71.0ms	106×	body	1280	valid
36.0ms	84×	body	640	valid
10.0ms	37×	body	320	valid
4.0ms	23×	body	160	valid
1.0ms	6×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2082
12	2082
11	1389
10	396
9	196
8	153
7	111
6	81
5	55
4	41
3	31
2	25
1	15
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.6b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.6b	(- (exp x) (exp (- x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
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×	`pow1` `insert-posit16`
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 → 76

Calls

3 calls:

21.0ms	(+ (exp x) (exp (- x)))
48.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
10.0ms	(- (exp x) (exp (- x)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (exp x) (exp (- x)))
118.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
72.0ms	(- (exp x) (exp (- x)))

simplify943.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2003
3	2003
2	886
1	296
0	120

prune343.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `tanh-def` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

2.0ms

(tanh x)

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(tanh x)

simplify890.0ms

Counts

14 → 14

Iterations

Iter	Nodes
done	2003
4	2003
3	628
2	208
1	95
0	43

prune94.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`associate-r`
6×	`add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 80

Calls

4 calls:

25.0ms	(+ (* (* x -1/3) (* x x)) x)
16.0ms	(* (pow x 5) 2/15)
37.0ms	(* (* x -1/3) (* x x))
10.0ms	(* x -1/3)

series309.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (* (* x -1/3) (* x x)) x)
86.0ms	(* (pow x 5) 2/15)
75.0ms	(* (* x -1/3) (* x x))
23.0ms	(* x -1/3)

simplify1.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	2004
3	2004
2	1244
1	327
0	124

prune682.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh x)
0.0b	(tanh x)
0.1b	(* (* (tanh x) (tanh x)) (tanh x))
40.6b	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

162×	`frac-times`
98×	`tanh-def`
63×	`cbrt-div`
54×	`associate-*l/`
30×	`associate-*r/`
23×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow2` `pow3` `pow-sqr`
1×	`cbrt-prod` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 188

Calls

4 calls:

1.0ms	(tanh x)
1.0ms	(tanh x)
47.0ms	(* (* (tanh x) (tanh x)) (tanh x))
27.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(tanh x)
94.0ms	(tanh x)
114.0ms	(* (* (tanh x) (tanh x)) (tanh x))
85.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

simplify1.2s

Counts

200 → 200

Iterations

Iter	Nodes
done	2000
3	2000
2	1953
1	767
0	303

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (1.8b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample10.4s

Algorithm

intervals

Results

5.1s	7677×	body	10240	exit
2.9s	3209×	body	1280	valid
1.5s	2504×	body	640	valid
423.0ms	1212×	body	320	valid
117.0ms	664×	body	160	valid
37.0ms	411×	body	80	valid