Details

sample269.0ms

Algorithm

intervals

Results

118.0ms	250×	body	10240	exit
68.0ms	107×	body	1280	valid
55.0ms	72×	body	640	valid
11.0ms	45×	body	320	valid
3.0ms	17×	body	160	valid
1.0ms	15×	body	80	valid

simplify42.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.7b	(- (exp x) (exp (- x)))

rewrite75.0ms

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:

16.0ms	(+ (exp x) (exp (- x)))
47.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
11.0ms	(- (exp x) (exp (- x)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (exp x) (exp (- x)))
109.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
64.0ms	(- (exp x) (exp (- x)))

simplify872.0ms

Counts

85 → 85

Iterations

Iter	Nodes
3	2697
2	867
1	296
0	120

prune651.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 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)

series104.0ms

Counts

1 → 3

Calls

1 calls:

104.0ms

(tanh x)

simplify582.0ms

Counts

14 → 14

Iterations

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

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`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`
5×	`pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow2` `pow-to-exp` `+-commutative` `associate-+r+` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 87

Calls

4 calls:

44.0ms	(+ (* (* x (* x x)) -1/3) (+ (* (pow x 5) 2/15) x))
10.0ms	(* (pow x 5) 2/15)
13.0ms	(* x (* x x))
41.0ms	(* (* x (* x x)) -1/3)

series207.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* (* x (* x x)) -1/3) (+ (* (pow x 5) 2/15) x))
56.0ms	(* (pow x 5) 2/15)
37.0ms	(* x (* x x))
44.0ms	(* (* x (* x x)) -1/3)

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
3	5129
2	1066
1	339
0	135

prune727.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh x)
0.0b	(* (tanh x) (tanh x))
0.1b	(* (* (tanh x) (tanh x)) (tanh x))
37.4b	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

171×	`frac-times`
105×	`tanh-def`
63×	`cbrt-div`
57×	`associate-*l/`
33×	`associate-*r/`
30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 218

Calls

4 calls:

2.0ms	(tanh x)
16.0ms	(* (tanh x) (tanh x))
33.0ms	(* (* (tanh x) (tanh x)) (tanh x))
24.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(tanh x)
142.0ms	(* (tanh x) (tanh x))
140.0ms	(* (* (tanh x) (tanh x)) (tanh x))
120.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))

simplify774.0ms

Counts

230 → 230

Iterations

Iter	Nodes
2	2504
1	835
0	331

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	2
0	2

end0.0ms

sample9.8s

Algorithm

intervals

Results

5.1s	7662×	body	10240	exit
2.2s	3382×	body	1280	valid
1.8s	2373×	body	640	valid
307.0ms	1228×	body	320	valid
95.0ms	599×	body	160	valid
35.0ms	418×	body	80	valid