Details

sample405.0ms

Algorithm

intervals

Results

244.0ms	304×	body	10240	exit
84.0ms	95×	body	1280	valid
42.0ms	96×	body	640	valid
8.0ms	33×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	13×	body	80	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	1403
10	375
9	196
8	153
7	111
6	81
5	55
4	41
3	31
2	25
1	15
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.0b	(- (exp x) (exp (- x)))

rewrite180.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 73

Calls

3 calls:

31.0ms	(+ (exp x) (exp (- x)))
109.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
35.0ms	(- (exp x) (exp (- x)))

series264.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (exp x) (exp (- x)))
150.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
66.0ms	(- (exp x) (exp (- x)))

simplify5.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
3	3305
2	887
1	293
0	117

prune544.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `tanh-def` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

2.0ms

(tanh x)

series151.0ms

Counts

1 → 3

Calls

1 calls:

150.0ms

(tanh x)

simplify3.9s

Counts

13 → 13

Iterations

Iter	Nodes
done	5002
4	3054
3	633
2	207
1	92
0	42

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 5) 2/15) (- x (* (* x x) (* 1/3 x))))
0.0b	(* (pow x 5) 2/15)
0.1b	(* (* x x) (* 1/3 x))
0.4b	(* 1/3 x)

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

32.0ms	(+ (* (pow x 5) 2/15) (- x (* (* x x) (* 1/3 x))))
25.0ms	(* (pow x 5) 2/15)
65.0ms	(* (* x x) (* 1/3 x))
13.0ms	(* 1/3 x)

series308.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ (* (pow x 5) 2/15) (- x (* (* x x) (* 1/3 x))))
93.0ms	(* (pow x 5) 2/15)
85.0ms	(* (* x x) (* 1/3 x))
27.0ms	(* 1/3 x)

simplify6.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5003
3	4434
2	1006
1	316
0	125

prune549.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(tanh x)
5.1b	(log (exp (tanh x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
3×	`pow1` `log-prod` `exp-prod`
2×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
1×	`rem-log-exp` `tanh-def`

Counts

2 → 25

Calls

2 calls:

3.0ms	(tanh x)
6.0ms	(log (exp (tanh x)))

series305.0ms

Counts

2 → 6

Calls

2 calls:

149.0ms	(tanh x)
156.0ms	(log (exp (tanh x)))

simplify3.7s

Counts

31 → 31

Iterations

Iter	Nodes
done	5044
4	3052
3	686
2	249
1	119
0	63

prune181.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

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

sample11.6s

Algorithm

intervals

Results

7.0s	7490×	body	10240	exit
2.4s	3306×	body	1280	valid
1.1s	2387×	body	640	valid
322.0ms	1223×	body	320	valid
231.0ms	683×	body	160	valid
35.0ms	401×	body	80	valid