Details

sample299.0ms

Algorithm

intervals

Results

165.0ms	250×	body	10240	exit
75.0ms	118×	body	1280	valid
33.0ms	78×	body	640	valid
8.0ms	31×	body	320	valid
3.0ms	15×	body	160	valid
1.0ms	14×	body	80	valid

simplify109.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize28.0ms

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)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
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×	`expm1-log1p-u` `pow1` `fma-def` `fma-neg` `insert-posit16` `log1p-expm1-u`
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 → 97

Calls

3 calls:

Slowest

85.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
25.0ms	(- (exp x) (exp (- x)))
15.0ms	(+ (exp x) (exp (- x)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

126.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
48.0ms	(- (exp x) (exp (- x)))
35.0ms	(+ (exp x) (exp (- x)))

simplify1.2s

Counts: 106 → 106

prune924.0ms

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` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

Slowest

3.0ms

(tanh x)

series120.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

120.0ms

(tanh x)

simplify893.0ms

Counts: 16 → 16

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `pow-prod-up`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

Slowest

13.0ms	(* x (* x x))
0.0ms	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
0.0ms	(fma (pow x 5) 2/15 x)

series342.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

206.0ms	(fma (pow x 5) 2/15 x)
85.0ms	(fma (* x (* x x)) -1/3 (fma (pow x 5) 2/15 x))
52.0ms	(* x (* x x))

simplify2.2s

Counts: 58 → 58

prune871.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

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))

rewrite42.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 112

Calls

4 calls:

Slowest

31.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))
4.0ms	(sqrt (tanh x))
2.0ms	(tanh x)
2.0ms	(tanh x)

series470.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(* (sqrt (tanh x)) (sqrt (tanh x)))
118.0ms	(tanh x)
115.0ms	(tanh x)
99.0ms	(sqrt (tanh x))

simplify952.0ms

Counts: 124 → 124

prune908.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.8s

Algorithm

intervals

Results

5.0s	7492×	body	10240	exit
2.1s	3346×	body	1280	valid
1.5s	2444×	body	640	valid
722.0ms	1226×	body	320	valid
141.0ms	578×	body	160	valid
35.0ms	406×	body	80	valid