Details

sample204.0ms

Algorithm

intervals

Results

104.0ms	267×	body	10240	exit
49.0ms	102×	body	1280	valid
23.0ms	80×	body	640	valid
8.0ms	43×	body	320	valid
3.0ms	23×	body	160	valid
1.0ms	8×	body	80	valid

simplify1.9s

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: 59.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
7.1b	(- (exp x) (exp (- x)))

rewrite76.0ms

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:

14.0ms	(+ (exp x) (exp (- x)))
48.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
11.0ms	(- (exp x) (exp (- x)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
87.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
50.0ms	(- (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

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite4.0ms

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:

4.0ms

(tanh x)

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(tanh x)

simplify1.9s

Counts

13 → 13

Iterations

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

prune53.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

66.0ms	(- (* 2/15 (pow x 5)) (- (* (* 1/3 (* x x)) x) x))
10.0ms	(* 2/15 (pow x 5))
41.0ms	(* (* 1/3 (* x x)) x)
13.0ms	(* 1/3 (* x x))

series225.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* 2/15 (pow x 5)) (- (* (* 1/3 (* x x)) x) x))
67.0ms	(* 2/15 (pow x 5))
54.0ms	(* (* 1/3 (* x x)) x)
27.0ms	(* 1/3 (* x x))

simplify3.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	4632
2	950
1	333
0	128

prune396.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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

sample8.0s

Algorithm

intervals

Results

4.1s	7593×	body	10240	exit
2.3s	3400×	body	1280	valid
813.0ms	2366×	body	640	valid
270.0ms	1242×	body	320	valid
114.0ms	614×	body	160	valid
23.0ms	378×	body	80	valid