Details

sample202.0ms

Algorithm

intervals

Results

83.0ms	247×	body	10240	exit
46.0ms	94×	body	1280	valid
41.0ms	74×	body	640	valid
10.0ms	49×	body	320	valid
4.0ms	30×	body	160	valid
1.0ms	9×	body	80	valid

simplify14.0s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.3b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
8.0b	(- (exp x) (exp (- x)))

rewrite117.0ms

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:

22.0ms	(+ (exp x) (exp (- x)))
77.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
14.0ms	(- (exp x) (exp (- x)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (exp x) (exp (- x)))
125.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
62.0ms	(- (exp x) (exp (- x)))

simplify638.0ms

Counts

82 → 82

Iterations

Useful iterations: done (633.0ms)

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

prune237.0ms

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)

rewrite2.0ms

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)

series105.0ms

Counts

1 → 3

Calls

1 calls:

105.0ms

(tanh x)

simplify1.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (39.0ms)

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

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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`
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×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

9.0ms	(+ x (* 2/15 (pow x 5)))
18.0ms	(* 2/15 (pow x 5))
20.0ms	(* 1/3 (pow x 3))

series288.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms	(+ x (* 2/15 (pow x 5)))
70.0ms	(* 2/15 (pow x 5))
61.0ms	(* 1/3 (pow x 3))

simplify507.0ms

Counts

76 → 76

Iterations

Useful iterations: done (506.0ms)

Iter	Nodes	Cost
0	113	650
1	291	565
2	1033	535
done	5000	532

prune211.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (tanh x) 3)
0.0b	(tanh x)
34.8b	(cbrt (pow (tanh x) 3))

rewrite10.0ms

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:

4.0ms	(pow (tanh x) 3)
1.0ms	(tanh x)
4.0ms	(cbrt (pow (tanh x) 3))

series328.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(pow (tanh x) 3)
95.0ms	(tanh x)
83.0ms	(cbrt (pow (tanh x) 3))

simplify1.1s

Counts

69 → 69

Iterations

Useful iterations: 2 (210.0ms)

Iter	Nodes	Cost
0	101	666
1	301	463
2	1495	422
done	5001	422

prune131.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample7.2s

Algorithm

intervals

Results

3.6s	7518×	body	10240	exit
1.9s	3311×	body	1280	valid
856.0ms	2434×	body	640	valid
210.0ms	1196×	body	320	valid
106.0ms	665×	body	160	valid
22.0ms	394×	body	80	valid