Details

sample197.0ms

Algorithm

intervals

Results

111.0ms	241×	body	10240	exit
39.0ms	99×	body	1280	valid
19.0ms	81×	body	640	valid
7.0ms	44×	body	320	valid
2.0ms	18×	body	160	valid
1.0ms	14×	body	80	valid

simplify7.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3482
7	523
6	130
5	66
4	42
3	31
2	25
1	15
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.6b	(- (exp x) (exp (- x)))

rewrite82.0ms

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:

9.0ms	(+ (exp x) (exp (- x)))
61.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
10.0ms	(- (exp x) (exp (- x)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ (exp x) (exp (- x)))
121.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
60.0ms	(- (exp x) (exp (- x)))

simplify621.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1242
1	293
0	117

prune271.0ms

Pruning

2 alts after pruning (2 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)

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(tanh x)

simplify2.1s

Counts

13 → 13

Iterations

Iter	Nodes
done	5002
4	4595
3	812
2	227
1	92
0	42

prune45.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `+-commutative` `sum-log` `flip3-+` `unpow3` `flip-+`

Counts

3 → 67

Calls

3 calls:

7.0ms	(+ x (* -1/3 (pow x 3)))
16.0ms	(* 2/15 (pow x 5))
10.0ms	(* -1/3 (pow x 3))

series279.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(+ x (* -1/3 (pow x 3)))
79.0ms	(* 2/15 (pow x 5))
56.0ms	(* -1/3 (pow x 3))

simplify532.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1070
1	296
0	116

prune235.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 2/15 (pow x 5))
0.1b	(* 1/9 (pow x 6))
0.1b	(* (pow x 3) -1/3)
26.4b	(/ (- (* x x) (* 1/9 (pow x 6))) (- x (* (pow x 3) -1/3)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
18×	`associate-l`
17×	`associate-r`
12×	`unpow-prod-down` `add-cbrt-cube`
10×	`unswap-sqr`
9×	`times-frac` `prod-exp`
6×	`sqr-pow`
4×	`pow1` `cube-prod` `add-log-exp`
3×	`pow-to-exp` `associate-/r` `pow-exp` `-commutative` `cbrt-unprod` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cube-mult` `cbrt-undiv` `clear-num` `frac-2neg` `unpow3` `div-sub` `div-exp` `div-inv`

Counts

4 → 113

Calls

4 calls:

18.0ms	(* 2/15 (pow x 5))
18.0ms	(* 1/9 (pow x 6))
19.0ms	(* (pow x 3) -1/3)
36.0ms	(/ (- (* x x) (* 1/9 (pow x 6))) (- x (* (pow x 3) -1/3)))

series481.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 2/15 (pow x 5))
73.0ms	(* 1/9 (pow x 6))
48.0ms	(* (pow x 3) -1/3)
292.0ms	(/ (- (* x x) (* 1/9 (pow x 6))) (- x (* (pow x 3) -1/3)))

simplify1.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2470
1	502
0	203

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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

sample8.6s

Algorithm

intervals

Results

4.6s	7425×	body	10240	exit
2.3s	3391×	body	1280	valid
836.0ms	2390×	body	640	valid
314.0ms	1209×	body	320	valid
113.0ms	601×	body	160	valid
27.0ms	409×	body	80	valid