Details

sample157.0ms

Algorithm

intervals

Results

58.0ms	229×	body	10240	exit
38.0ms	94×	body	1280	valid
22.0ms	90×	body	640	valid
20.0ms	46×	body	320	valid
2.0ms	17×	body	160	valid
0.0ms	9×	body	80	valid

simplify12.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	31	13
4	42	13
5	66	13
6	130	13
7	567	13
8	4527	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.2b	(- (exp x) (exp (- x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 61

Calls

2 calls:

58.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
18.0ms	(- (exp x) (exp (- x)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
42.0ms	(- (exp x) (exp (- x)))

simplify980.0ms

Counts

67 → 67

Iterations

Useful iterations: done (976.0ms)

Iter	Nodes	Cost
0	106	1228
1	264	1185
2	1065	1111
done	5001	1109

prune187.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize4.0ms

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)

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

(tanh x)

simplify1.9s

Counts

13 → 13

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	42	107
1	92	83
2	218	79
3	703	79
4	3589	79
done	5001	79

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
19×	`add-cube-cbrt` `associate-r`
15×	`add-exp-log`
12×	`times-frac`
9×	`add-cbrt-cube`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `associate-/r*` `distribute-lft-out` `sqr-pow`
3×	`pow1` `associate-/l*` `add-log-exp`
2×	`pow-to-exp` `flip3-+` `pow-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `frac-2neg` `unpow3` `div-exp` `clear-num` `div-inv`

Counts

3 → 91

Calls

3 calls:

126.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
13.0ms	(* 1/60 (pow x 5))
20.0ms	(* 1/3 (pow x 3))

series256.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
74.0ms	(* 1/60 (pow x 5))
59.0ms	(* 1/3 (pow x 3))

simplify806.0ms

Counts

100 → 100

Iterations

Useful iterations: done (802.0ms)

Iter	Nodes	Cost
0	188	1796
1	487	1690
2	1829	1582
done	5001	1579

prune423.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample7.8s

Algorithm

intervals

Results

4.2s	7585×	body	10240	exit
2.0s	3263×	body	1280	valid
804.0ms	2490×	body	640	valid
221.0ms	1214×	body	320	valid
72.0ms	628×	body	160	valid
27.0ms	405×	body	80	valid