Details

sample190.0ms

Algorithm

intervals

Results

100.0ms	261×	body	10240	exit
47.0ms	111×	body	1280	valid
19.0ms	72×	body	640	valid
7.0ms	40×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	14×	body	80	valid

simplify2.0s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.7b	(- (exp x) (exp (- x)))

rewrite88.0ms

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:

13.0ms	(+ (exp x) (exp (- x)))
55.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
17.0ms	(- (exp x) (exp (- x)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
107.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
53.0ms	(- (exp x) (exp (- x)))

simplify2.1s

Counts

82 → 82

Iterations

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

prune345.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 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)

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(tanh x)

simplify2.0s

Counts

13 → 13

Iterations

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

prune56.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (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)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

22.0ms	(+ x (+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3))))
15.0ms	(* (pow x 5) 2/15)
59.0ms	(* x (* (* x x) -1/3))
23.0ms	(* (* x x) -1/3)

series541.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ x (+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3))))
69.0ms	(* (pow x 5) 2/15)
42.0ms	(* x (* (* x x) -1/3))
338.0ms	(* (* x x) -1/3)

simplify1.5s

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1053
1	325
0	128

prune418.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

1.0ms	(tanh x)
1.0ms	(tanh x)
17.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

series330.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(tanh x)
110.0ms	(tanh x)
123.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))

simplify1.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	1989
2	466
1	216
0	114

prune379.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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

sample8.6s

Algorithm

intervals

Results

4.5s	7688×	body	10240	exit
2.4s	3325×	body	1280	valid
982.0ms	2458×	body	640	valid
285.0ms	1192×	body	320	valid
80.0ms	622×	body	160	valid
25.0ms	403×	body	80	valid