Details

sample302.0ms

Algorithm

intervals

Results

166.0ms	279×	body	10240	exit
66.0ms	100×	body	1280	valid
35.0ms	77×	body	640	valid
14.0ms	46×	body	320	valid
4.0ms	23×	body	160	valid
1.0ms	10×	body	80	valid

simplify13.3s

Counts

1 → 1

Iterations

Iter	Nodes
15	9856
14	1999
13	591
12	238
11	133
10	84
9	64
8	58
7	55
6	51
5	47
4	39
3	29
2	23
1	15
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.8b	(- (exp x) (exp (- x)))

rewrite74.0ms

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:

17.0ms	(+ (exp x) (exp (- x)))
44.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
11.0ms	(- (exp x) (exp (- x)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (exp x) (exp (- x)))
118.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
54.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
3	2756
2	871
1	294
0	120

prune483.0ms

Pruning

2 alts after pruning (2 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` `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:

1.0ms

(tanh x)

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(tanh x)

simplify958.0ms

Counts

14 → 14

Iterations

Iter	Nodes
4	2416
3	545
2	198
1	93
0	43

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 91

Calls

4 calls:

16.0ms	(+ (* (pow x 5) 2/15) (+ x (* (* (* x x) x) -1/3)))
8.0ms	(* (pow x 5) 2/15)
19.0ms	(* (* x x) x)
68.0ms	(* (* (* x x) x) -1/3)

series212.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (* (pow x 5) 2/15) (+ x (* (* (* x x) x) -1/3)))
62.0ms	(* (pow x 5) 2/15)
39.0ms	(* (* x x) x)
43.0ms	(* (* (* x x) x) -1/3)

simplify3.5s

Counts

103 → 103

Iterations

Iter	Nodes
3	5085
2	1102
1	337
0	133

prune899.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh x)
0.0b	(* (tanh x) (tanh x))
0.1b	(* (* (tanh x) (tanh x)) (tanh x))
38.1b	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

171×	`frac-times`
105×	`tanh-def`
63×	`cbrt-div`
57×	`associate-*l/`
33×	`associate-*r/`
30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 218

Calls

4 calls:

2.0ms	(tanh x)
27.0ms	(* (tanh x) (tanh x))
37.0ms	(* (* (tanh x) (tanh x)) (tanh x))
29.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(tanh x)
117.0ms	(* (tanh x) (tanh x))
161.0ms	(* (* (tanh x) (tanh x)) (tanh x))
125.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

simplify1.0s

Counts

230 → 230

Iterations

Iter	Nodes
2	2535
1	833
0	331

prune2.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	16
1	16
0	11

end0.0ms

sample10.7s

Algorithm

intervals

Results

5.2s	7522×	body	10240	exit
2.6s	3319×	body	1280	valid
2.1s	2446×	body	640	valid
347.0ms	1249×	body	320	valid
174.0ms	608×	body	160	valid
33.0ms	378×	body	80	valid