Details

sample164.0ms

Algorithm

intervals

Results

74.0ms	266×	body	10240	exit
47.0ms	117×	body	1280	valid
19.0ms	72×	body	640	valid
6.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify2.1s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.1b	(- (exp x) (exp (- x)))

rewrite105.0ms

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:

15.0ms	(+ (exp x) (exp (- x)))
69.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
17.0ms	(- (exp x) (exp (- x)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (exp x) (exp (- x)))
104.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
54.0ms	(- (exp x) (exp (- x)))

simplify2.4s

Counts

82 → 82

Iterations

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

prune376.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

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:

2.0ms

(tanh x)

series125.0ms

Counts

1 → 3

Calls

1 calls:

124.0ms

(tanh x)

simplify2.0s

Counts

13 → 13

Iterations

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

prune39.0ms

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

rewrite114.0ms

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:

14.0ms	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
14.0ms	(* (pow x 5) 2/15)
63.0ms	(* x (* (* x x) -1/3))
19.0ms	(* (* x x) -1/3)

series399.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
82.0ms	(* (pow x 5) 2/15)
57.0ms	(* x (* (* x x) -1/3))
39.0ms	(* (* x x) -1/3)

simplify3.2s

Counts

88 → 88

Iterations

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

prune356.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 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

Iter	Nodes
done	2
0	2

end0.0ms

sample7.2s

Algorithm

intervals

Results

3.8s	7563×	body	10240	exit
1.9s	3251×	body	1280	valid
794.0ms	2490×	body	640	valid
260.0ms	1248×	body	320	valid
68.0ms	606×	body	160	valid
26.0ms	405×	body	80	valid