Details

sample298.0ms

Algorithm

intervals

Results

175.0ms	279×	body	10240	exit
61.0ms	100×	body	1280	valid
31.0ms	77×	body	640	valid
12.0ms	46×	body	320	valid
4.0ms	23×	body	160	valid
1.0ms	10×	body	80	valid

simplify12.7s

Counts

1 → 1

Iterations

Iter	Nodes
15	9602
14	1972
13	611
12	247
11	137
10	88
9	68
8	62
7	59
6	55
5	51
4	39
3	29
2	23
1	15
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize31.0ms

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)))

rewrite88.0ms

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` `insert-posit16` `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 → 97

Calls

3 calls:

12.0ms	(+ (exp x) (exp (- x)))
47.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
27.0ms	(- (exp x) (exp (- x)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
98.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
56.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

106 → 106

Iterations

Iter	Nodes
3	3283
2	1002
1	358
0	150

prune729.0ms

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` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

1.0ms

(tanh x)

series106.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

(tanh x)

simplify719.0ms

Counts

16 → 16

Iterations

Iter	Nodes
4	2482
3	563
2	196
1	92
0	45

prune112.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `pow-prod-up`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

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

series309.0ms

Counts

3 → 9

Calls

3 calls:

176.0ms	(fma (pow x 5) 2/15 x)
87.0ms	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
46.0ms	(* x (* x x))

simplify3.9s

Counts

58 → 58

Iterations

Iter	Nodes
4	6888
3	1161
2	300
1	122
0	71

prune555.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)))

rewrite124.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 226

Calls

4 calls:

1.0ms	(tanh x)
12.0ms	(* (tanh x) (tanh x))
60.0ms	(* (* (tanh x) (tanh x)) (tanh x))
46.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(tanh x)
131.0ms	(* (tanh x) (tanh x))
161.0ms	(* (* (tanh x) (tanh x)) (tanh x))
111.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

simplify831.0ms

Counts

238 → 238

Iterations

Iter	Nodes
2	2504
1	850
0	339

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (1.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	9

end0.0ms

sample10.4s

Algorithm

intervals

Results

5.4s	7522×	body	10240	exit
2.6s	3319×	body	1280	valid
1.5s	2446×	body	640	valid
367.0ms	1249×	body	320	valid
107.0ms	608×	body	160	valid
74.0ms	378×	body	80	valid