Details

sample307.0ms

Algorithm

intervals

Results

173.0ms	260×	body	10240	exit
72.0ms	113×	body	1280	valid
32.0ms	71×	body	640	valid
12.0ms	42×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify97.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize14.0ms

Local error

Found 2 expressions with local error:

5.3b	(- (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
20×	`times-frac` `add-cube-cbrt`
9×	`prod-diff`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `tanh-undef` `flip-+` `div-inv`

Counts

2 → 79

Calls

2 calls:

Slowest

64.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
17.0ms	(- (exp x) (exp (- x)))

series176.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

115.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
60.0ms	(- (exp x) (exp (- x)))

simplify1.1s

Counts: 85 → 85

prune747.0ms

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×	`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)

series94.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

94.0ms

(tanh x)

simplify827.0ms

Counts: 16 → 16

prune135.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* 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)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `fma-udef`
1×	`associate-l` `pow3` `*-commutative` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

Slowest

22.0ms	(* (* 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)

series260.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

143.0ms	(fma (pow x 5) 2/15 x)
64.0ms	(fma (* (* x x) x) -1/3 (fma (pow x 5) 2/15 x))
53.0ms	(* (* x x) x)

simplify2.0s

Counts: 62 → 62

prune595.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

38.9b	(cbrt (* (* (fma 2/15 (* x (* (* x x) (* x x))) x) (fma 2/15 (* x (* (* x x) (* x x))) x)) (fma 2/15 (* x (* (* x x) (* x x))) x)))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

337×	`pow1`
108×	`pow-prod-up`
69×	`pow-prod-down`
66×	`pow-sqr`
54×	`pow-plus`
40×	`add-cbrt-cube` `add-exp-log`
39×	`pow2`
24×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `associate-r` `associate-l` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 211

Calls

4 calls:

Slowest

38.0ms	(* (* x x) (* x x))
37.0ms	(* (* x x) (* x x))
23.0ms	(* (* x x) (* x x))
17.0ms	(cbrt (* (* (fma 2/15 (* x (* (* x x) (* x x))) x) (fma 2/15 (* x (* (* x x) (* x x))) x)) (fma 2/15 (* x (* (* x x) (* x x))) x)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(cbrt (* (* (fma 2/15 (* x (* (* x x) (* x x))) x) (fma 2/15 (* x (* (* x x) (* x x))) x)) (fma 2/15 (* x (* (* x x) (* x x))) x)))
54.0ms	(* (* x x) (* x x))
52.0ms	(* (* x x) (* x x))
36.0ms	(* (* x x) (* x x))

simplify732.0ms

Counts: 223 → 223

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.3s

Algorithm

intervals

Results

5.3s	7731×	body	10240	exit
2.3s	3372×	body	1280	valid
1.0s	2429×	body	640	valid
360.0ms	1164×	body	320	valid
99.0ms	651×	body	160	valid
30.0ms	384×	body	80	valid