Details

sample248.0ms

Algorithm

intervals

Results

123.0ms	271×	body	10240	exit
57.0ms	104×	body	1280	valid
25.0ms	73×	body	640	valid
12.0ms	51×	body	320	valid
2.0ms	17×	body	160	valid
1.0ms	11×	body	80	valid

simplify18.4s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.0b	(- (exp x) (exp (- x)))

rewrite170.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 73

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
115.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
26.0ms	(- (exp x) (exp (- x)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (exp x) (exp (- x)))
150.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
71.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts

82 → 82

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	117	1385
1	293	1333
2	1244	1241
done	5000	1239

prune449.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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:

3.0ms

(tanh x)

series142.0ms

Counts

1 → 3

Calls

1 calls:

142.0ms

(tanh x)

simplify3.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (49.0ms)

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

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

70.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
25.0ms	(* 2/15 (pow x 5))
28.0ms	(* 1/3 (pow x 3))

series281.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
100.0ms	(* 2/15 (pow x 5))
72.0ms	(* 1/3 (pow x 3))

simplify1.1s

Counts

79 → 79

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	121	815
1	306	726
2	1144	684
done	5000	675

prune439.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh x)
0.0b	(pow (tanh x) 3)
37.5b	(cbrt (pow (tanh x) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cube-div` `unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow-unpow` `cbrt-div` `tanh-def` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

2.0ms	(tanh x)
7.0ms	(pow (tanh x) 3)
7.0ms	(cbrt (pow (tanh x) 3))

series546.0ms

Counts

3 → 9

Calls

3 calls:

161.0ms	(tanh x)
223.0ms	(pow (tanh x) 3)
162.0ms	(cbrt (pow (tanh x) 3))

simplify1.9s

Counts

69 → 69

Iterations

Useful iterations: 2 (370.0ms)

Iter	Nodes	Cost
0	101	666
1	301	463
2	1476	422
done	5000	422

prune317.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample11.3s

Algorithm

intervals

Results

6.1s	7609×	body	10240	exit
2.4s	3331×	body	1280	valid
1.5s	2471×	body	640	valid
441.0ms	1224×	body	320	valid
151.0ms	591×	body	160	valid
34.0ms	383×	body	80	valid