Details

sample310.0ms

Algorithm

intervals

Results

174.0ms	250×	body	10240	exit
76.0ms	118×	body	1280	valid
34.0ms	78×	body	640	valid
9.0ms	31×	body	320	valid
3.0ms	15×	body	160	valid
1.0ms	14×	body	80	valid

simplify107.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize13.0ms

Local error

Found 3 expressions with local error:

3.8b	(- (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite110.0ms

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:

Slowest

76.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
17.0ms	(+ (exp x) (exp (- x)))
15.0ms	(- (exp x) (exp (- x)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

103.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
55.0ms	(- (exp x) (exp (- x)))
39.0ms	(+ (exp x) (exp (- x)))

simplify1.0s

Counts: 85 → 85

prune646.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

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:

Slowest

2.0ms

(tanh x)

series125.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

125.0ms

(tanh x)

simplify802.0ms

Counts: 14 → 14

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 1/3 x)
0.1b	(* (* 1/3 x) (* x x))
0.1b	(* (pow x 5) 2/15)
0.0b	(+ (* (pow x 5) 2/15) (- x (* (* 1/3 x) (* x x))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`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`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`associate-+r+` `sum-log` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `pow-exp` `flip-+`

Counts

4 → 84

Calls

4 calls:

Slowest

30.0ms	(* (* 1/3 x) (* x x))
17.0ms	(+ (* (pow x 5) 2/15) (- x (* (* 1/3 x) (* x x))))
10.0ms	(* (pow x 5) 2/15)
5.0ms	(* 1/3 x)

series210.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

79.0ms	(+ (* (pow x 5) 2/15) (- x (* (* 1/3 x) (* x x))))
60.0ms	(* (pow x 5) 2/15)
53.0ms	(* (* 1/3 x) (* x x))
18.0ms	(* 1/3 x)

simplify1.5s

Counts: 96 → 96

prune682.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (tanh x)) (sqrt (tanh x)))
0.0b	(tanh x)
0.0b	(tanh x)
0.0b	(sqrt (tanh x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`sqrt-div`
26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`tanh-def`
9×	`frac-times` `sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

Slowest

21.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))
2.0ms	(sqrt (tanh x))
2.0ms	(tanh x)
2.0ms	(tanh x)

series415.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

110.0ms	(tanh x)
109.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))
108.0ms	(tanh x)
89.0ms	(sqrt (tanh x))

simplify877.0ms

Counts: 116 → 116

prune714.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample9.6s

Algorithm

intervals

Results

4.7s	7492×	body	10240	exit
2.4s	3346×	body	1280	valid
1.8s	2444×	body	640	valid
334.0ms	1226×	body	320	valid
94.0ms	578×	body	160	valid
33.0ms	406×	body	80	valid