Details

sample306.0ms

Algorithm

intervals

Results

131.0ms	224×	body	10240	exit
107.0ms	120×	body	1280	valid
37.0ms	77×	body	640	valid
12.0ms	38×	body	320	valid
3.0ms	12×	body	160	valid
1.0ms	9×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2031
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: 58.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
3.8b	(- (exp x) (exp (- x)))

rewrite91.0ms

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:

9.0ms	(+ (exp x) (exp (- x)))
60.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
21.0ms	(- (exp x) (exp (- x)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (exp x) (exp (- x)))
119.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
49.0ms	(- (exp x) (exp (- x)))

simplify610.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	2003
2	886
1	296
0	120

prune298.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

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:

3.0ms

(tanh x)

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

(tanh x)

simplify509.0ms

Counts

14 → 14

Iterations

Iter	Nodes
done	2000
3	628
2	208
1	95
0	43

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

23.0ms	(+ x (- (* (pow x 5) 2/15) (* (* 1/3 x) (* x x))))
16.0ms	(* (pow x 5) 2/15)
30.0ms	(* (* 1/3 x) (* x x))
5.0ms	(* 1/3 x)

series247.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (- (* (pow x 5) 2/15) (* (* 1/3 x) (* x x))))
83.0ms	(* (pow x 5) 2/15)
55.0ms	(* (* 1/3 x) (* x x))
29.0ms	(* 1/3 x)

simplify633.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2005
2	893
1	301
0	128

prune334.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

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))
41.3b	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

rewrite98.0ms

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:

1.0ms	(tanh x)
11.0ms	(* (tanh x) (tanh x))
54.0ms	(* (* (tanh x) (tanh x)) (tanh x))
27.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(tanh x)
134.0ms	(* (tanh x) (tanh x))
148.0ms	(* (* (tanh x) (tanh x)) (tanh x))
119.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

simplify631.0ms

Counts

230 → 230

Iterations

Iter	Nodes
done	2001
1	845
0	331

prune989.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample9.4s

Algorithm

intervals

Results

4.8s	7340×	body	10240	exit
2.9s	3355×	body	1280	valid
943.0ms	2414×	body	640	valid
385.0ms	1212×	body	320	valid
99.0ms	627×	body	160	valid
31.0ms	392×	body	80	valid