Details

sample279.0ms

Algorithm

intervals

Results

152.0ms	252×	body	10240	exit
62.0ms	97×	body	1280	valid
32.0ms	80×	body	640	valid
12.0ms	42×	body	320	valid
3.0ms	22×	body	160	valid
1.0ms	15×	body	80	valid

simplify70.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

70.0ms

(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.2b

localize15.0ms

Local error

Found 3 expressions with local error:

5.9b	(- (exp x) (exp (- x)))
0.7b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b	(+ (exp x) (exp (- x)))

rewrite67.0ms

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

43.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
13.0ms	(- (exp x) (exp (- x)))
10.0ms	(+ (exp x) (exp (- x)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

124.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
65.0ms	(- (exp x) (exp (- x)))
31.0ms	(+ (exp x) (exp (- x)))

simplify5.8s

Counts

91 → 106

Calls

91 calls:

Slowest

361.0ms	(- (pow (exp x) 3) (pow (exp (- x)) 3))
299.0ms	(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
259.0ms	(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
254.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
241.0ms	(fma 1 (exp x) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))

prune806.0ms

Pruning

3 alts after pruning (3 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

2.0ms

(tanh x)

series143.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

143.0ms

(tanh x)

simplify637.0ms

Counts

3 → 16

Calls

3 calls:

Slowest

341.0ms	(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
198.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
96.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune119.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b	(* x -1/3)
0.0b	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0b	(fma 2/15 (pow x 5) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

Slowest

10.0ms	(* x -1/3)
0.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0ms	(fma 2/15 (pow x 5) x)

series325.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

189.0ms	(fma 2/15 (pow x 5) x)
109.0ms	(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
27.0ms	(* x -1/3)

simplify1.2s

Counts

18 → 52

Calls

18 calls:

Slowest

210.0ms	(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
207.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
179.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
146.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
143.0ms	(+ x (* 2/15 (pow x 5)))

prune479.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

35.9b	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))
0.1b	(* (* (tanh x) (tanh x)) (tanh x))
0.0b	(* (tanh x) (tanh x))
0.0b	(tanh x)

rewrite120.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 226

Calls

4 calls:

Slowest

51.0ms	(* (* (tanh x) (tanh x)) (tanh x))
35.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))
24.0ms	(* (tanh x) (tanh x))
2.0ms	(tanh x)

series510.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

170.0ms	(* (* (tanh x) (tanh x)) (tanh x))
120.0ms	(cbrt (* (* (tanh x) (tanh x)) (tanh x)))
116.0ms	(* (tanh x) (tanh x))
104.0ms	(tanh x)

simplify1.4m

Counts

254 → 238

Calls

254 calls:

Slowest

1.3s	(* (+ (exp x) (exp (- x))) (+ (exp (* 2 x)) 1))
1.2s	(* (+ (exp x) (exp (- x))) (+ (exp (* 2 x)) 1))
1.1s	(* (* (+ (exp x) (exp (- x))) (+ (exp (* 2 x)) 1)) (+ 1 (exp (* -2 x))))
938.0ms	(* (+ (exp x) (exp (- x))) (+ (exp (* 2 x)) 1))
884.0ms	(* (* (+ (exp x) (exp (- x))) (+ 1 (exp (* -2 x)))) (+ (exp (* 2 x)) 1))

prune2.3s

Pruning

3 alts after pruning (1 fresh and 2 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

bsearch1.0ms

end0.0ms

sample11.1s

Algorithm

intervals

Results

6.2s	7641×	body	10240	exit
2.9s	3336×	body	1280	valid
1.2s	2384×	body	640	valid
423.0ms	1229×	body	320	valid
121.0ms	626×	body	160	valid
38.0ms	425×	body	80	valid