Details

sample223.0ms

Algorithm

intervals

Results

117.0ms	272×	body	10240	exit
56.0ms	121×	body	1280	valid
21.0ms	68×	body	640	valid
10.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	301
1	15	301
2	25	301
3	31	301
4	41	301
5	59	301
6	81	301
7	122	301
8	156	301
9	201	301
10	285	301
11	416	301
12	739	301
13	2564	301
done	5010	301

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.3b

localize19.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.1b	(- (exp x) (exp (- x)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
20×	`times-frac` `add-cube-cbrt`
9×	`prod-diff`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `tanh-undef` `flip-+` `div-inv`

Counts

2 → 77

Calls

2 calls:

59.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
26.0ms	(- (exp x) (exp (- x)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
47.0ms	(- (exp x) (exp (- x)))

simplify4.3s

Counts

83 → 83

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	134	39360
1	322	36914
2	904	34972
3	3036	33198
done	5029	32693

prune306.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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)

series119.0ms

Counts

1 → 3

Calls

1 calls:

119.0ms

(tanh x)

simplify2.7s

Counts

15 → 15

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	44	3406
1	93	2743
2	208	2648
3	635	2598
4	2952	2597
done	5032	2597

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

3 → 46

Calls

3 calls:

0.0ms	(fma 2/15 (pow x 5) x)
0.0ms	(fma -1/3 (* x (* x x)) (fma 2/15 (pow x 5) x))
15.0ms	(* x (* x x))

series296.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(fma 2/15 (pow x 5) x)
67.0ms	(fma -1/3 (* x (* x x)) (fma 2/15 (pow x 5) x))
65.0ms	(* x (* x x))

simplify2.3s

Counts

55 → 55

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	67	14150
1	120	12822
2	359	12310
3	1429	12310
done	5002	12310

prune286.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (exp x))
0.2b	(sqrt (exp x))
0.5b	(/ (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))) (+ (exp x) (exp (- x))))
4.2b	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
12×	`times-frac`
8×	`sqrt-pow1`
6×	`pow1` `exp-prod` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`rem-sqrt-square` `pow1/2` `associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `fma-udef` `div-inv`

Counts

4 → 81

Calls

4 calls:

2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
24.0ms	(/ (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))) (+ (exp x) (exp (- x))))
1.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

series313.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (exp x))
14.0ms	(sqrt (exp x))
186.0ms	(/ (fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x)))) (+ (exp x) (exp (- x))))
90.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (exp (- x))))

simplify3.3s

Counts

93 → 93

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	119	33940
1	245	29280
2	711	25799
3	2280	25801
done	5005	25776

prune471.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	56
done	2	56

end0.0ms

sample9.0s

Algorithm

intervals

Results

4.9s	7478×	body	10240	exit
2.5s	3370×	body	1280	valid
898.0ms	2386×	body	640	valid
249.0ms	1191×	body	320	valid
82.0ms	446×	body	80	valid
78.0ms	607×	body	160	valid