Details

sample302.0ms

Algorithm

intervals

Results

179.0ms	277×	body	10240	exit
63.0ms	103×	body	1280	valid
31.0ms	82×	body	640	valid
9.0ms	35×	body	320	valid
3.0ms	16×	body	160	valid
2.0ms	20×	body	80	valid

simplify39.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	51
6	51
5	49
4	41
3	31
2	25
1	15
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.6b	(- (exp x) (exp (- x)))

rewrite100.0ms

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` `insert-posit16`
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 → 76

Calls

3 calls:

9.0ms	(+ (exp x) (exp (- x)))
79.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
11.0ms	(- (exp x) (exp (- x)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (exp x) (exp (- x)))
93.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
63.0ms	(- (exp x) (exp (- x)))

simplify958.0ms

Counts

85 → 85

Iterations

Iter	Nodes
3	2697
2	867
1	296
0	120

prune692.0ms

Pruning

4 alts after pruning (4 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` `insert-posit16` `tanh-def` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(tanh x)

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(tanh x)

simplify618.0ms

Counts

14 → 14

Iterations

Iter	Nodes
4	2435
3	551
2	200
1	95
0	43

prune95.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x x) (* -1/3 x)) (+ (* (pow x 5) 2/15) x))
0.1b	(* (pow x 5) 2/15)
0.1b	(* (* x x) (* -1/3 x))
0.3b	(* -1/3 x)

rewrite80.0ms

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×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-r`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

34.0ms	(+ (* (* x x) (* -1/3 x)) (+ (* (pow x 5) 2/15) x))
12.0ms	(* (pow x 5) 2/15)
26.0ms	(* (* x x) (* -1/3 x))
6.0ms	(* -1/3 x)

series254.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (* (* x x) (* -1/3 x)) (+ (* (pow x 5) 2/15) x))
71.0ms	(* (pow x 5) 2/15)
51.0ms	(* (* x x) (* -1/3 x))
30.0ms	(* -1/3 x)

simplify2.1s

Counts

94 → 94

Iterations

Iter	Nodes
3	4840
2	1092
1	323
0	131

prune667.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 2/15 (* (* (* x x) x) (* x x)))
0.1b	(* (* x x) x)
0.1b	(* (* x x) x)
0.2b	(* (* (* x x) x) 1/3)

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

80×	`pow1`
52×	`add-cbrt-cube` `add-exp-log`
34×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`pow-plus` `pow-prod-up`
10×	`add-sqr-sqrt` `associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`pow2` `pow-sqr` `*-commutative` `insert-posit16` `add-log-exp`
2×	`pow3` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

187.0ms	(* 2/15 (* (* (* x x) x) (* x x)))
22.0ms	(* (* x x) x)
31.0ms	(* (* x x) x)
56.0ms	(* (* (* x x) x) 1/3)

series229.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* 2/15 (* (* (* x x) x) (* x x)))
48.0ms	(* (* x x) x)
47.0ms	(* (* x x) x)
66.0ms	(* (* (* x x) x) 1/3)

simplify1.5s

Counts

126 → 126

Iterations

Iter	Nodes
3	3529
2	850
1	282
0	108

prune976.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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
1	2
0	2

end0.0ms

sample9.9s

Algorithm

intervals

Results

5.2s	7630×	body	10240	exit
2.3s	3374×	body	1280	valid
1.5s	2413×	body	640	valid
395.0ms	1180×	body	320	valid
165.0ms	608×	body	160	valid
61.0ms	425×	body	80	valid