Details

sample208.0ms

Algorithm

intervals

Results

103.0ms	237×	body	10240	exit
47.0ms	92×	body	1280	valid
33.0ms	101×	body	640	valid
5.0ms	30×	body	320	valid
2.0ms	20×	body	160	valid
1.0ms	13×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
11	1389
10	396
9	196
8	153
7	111
6	81
5	55
4	41
3	31
2	25
1	15
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.5b	(- (exp x) (exp (- x)))

rewrite80.0ms

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`
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 → 73

Calls

3 calls:

11.0ms	(+ (exp x) (exp (- x)))
47.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
20.0ms	(- (exp x) (exp (- x)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (exp x) (exp (- x)))
97.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
50.0ms	(- (exp x) (exp (- x)))

simplify2.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	3082
2	880
1	293
0	117

prune278.0ms

Pruning

3 alts after pruning (3 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` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series106.0ms

Counts

1 → 3

Calls

1 calls:

106.0ms

(tanh x)

simplify2.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5002
4	3011
3	634
2	205
1	92
0	42

prune58.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
0.1b	(* (pow x 5) 2/15)
0.1b	(* x (* (* x x) -1/3))
0.2b	(* (* x x) -1/3)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`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` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 76

Calls

4 calls:

12.0ms	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
9.0ms	(* (pow x 5) 2/15)
45.0ms	(* x (* (* x x) -1/3))
14.0ms	(* (* x x) -1/3)

series421.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
79.0ms	(* (pow x 5) 2/15)
56.0ms	(* x (* (* x x) -1/3))
40.0ms	(* (* x x) -1/3)

simplify3.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
3	4789
2	992
1	306
0	121

prune403.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (tanh x))
0.0b	(tanh x)
0.0b	(tanh x)
0.3b	(* (sqrt (tanh x)) (sqrt (tanh x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`sqrt-div`
26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`tanh-def`
9×	`frac-times` `sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

2.0ms	(sqrt (tanh x))
1.0ms	(tanh x)
1.0ms	(tanh x)
26.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

series443.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(sqrt (tanh x))
136.0ms	(tanh x)
97.0ms	(tanh x)
110.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

simplify2.1s

Counts

112 → 112

Iterations

Iter	Nodes
done	5003
3	2123
2	540
1	227
0	127

prune476.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	2
0	2

end0.0ms

sample8.3s

Algorithm

intervals

Results

4.5s	7703×	body	10240	exit
1.8s	3333×	body	1280	valid
785.0ms	2420×	body	640	valid
694.0ms	1234×	body	320	valid
69.0ms	601×	body	160	valid
25.0ms	412×	body	80	valid