Details

sample92.0ms

Algorithm

intervals

Results

32.0ms	82×	body	1280	valid
25.0ms	85×	body	10240	exit
14.0ms	50×	body	640	valid
6.0ms	92×	body	80	valid
4.0ms	20×	body	320	valid
1.0ms	12×	body	160	valid

simplify18.0ms

Calls

1 calls:

Slowest

18.0ms

(/ (exp x) (- (exp x) 1))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.2b

localize15.0ms

Local error

Found 2 expressions with local error:

3.5b	(- (exp x) 1)
0.5b	(/ (exp x) (- (exp x) 1))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
5×	`difference-of-sqr-1`
4×	`associate-/r*` `add-cbrt-cube`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`cbrt-undiv` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `div-exp` `div-inv`

Calls

2 calls:

Slowest

7.0ms	(/ (exp x) (- (exp x) 1))
6.0ms	(- (exp x) 1)

series73.0ms

Calls

2 calls:

Slowest

44.0ms	(/ (exp x) (- (exp x) 1))
29.0ms	(- (exp x) 1)

simplify1.3s

Calls

43 calls:

Slowest

403.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
170.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
75.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (- (exp x) 1)) (cbrt (- (exp x) 1))))
59.0ms	(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))
27.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))

prune424.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (exp x) (expm1 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

8.0ms

(/ (exp x) (expm1 x))

series42.0ms

Calls

1 calls:

Slowest

42.0ms

(/ (exp x) (expm1 x))

simplify462.0ms

Calls

28 calls:

Slowest

185.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x)))
36.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))
32.0ms	(+ (* 1/12 x) (+ (/ 1 x) 1/2))
24.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) 1)
22.0ms	(/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (expm1 x)))

prune260.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (expm1 x) (exp x))
0.0b	(/ 1 (/ (expm1 x) (exp x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
5×	`add-exp-log`
4×	`add-cbrt-cube`
3×	`pow1` `div-inv` `associate-/l*`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `div-sub` `associate-/r/` `pow-flip` `inv-pow` `expm1-udef`

Calls

2 calls:

Slowest

4.0ms	(/ (expm1 x) (exp x))
2.0ms	(/ 1 (/ (expm1 x) (exp x)))

series73.0ms

Calls

2 calls:

Slowest

43.0ms	(/ 1 (/ (expm1 x) (exp x)))
30.0ms	(/ (expm1 x) (exp x))

simplify741.0ms

Calls

47 calls:

Slowest

218.0ms	(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (exp x) (exp x)) (exp x)))
181.0ms	(- (+ x (* 1/6 (pow x 3))) (* 1/2 (pow x 2)))
40.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x))))
24.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) 1)
24.0ms	(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (sqrt (exp x)))

prune369.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b	(/ (/ 1 (expm1 x)) (/ 1 (exp x)))
0.0b	(/ 1 (expm1 x))
0.0b	(/ 1 (exp x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`times-frac`
15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`div-inv`
10×	`associate-/r*` `add-exp-log`
6×	`rec-exp`
5×	`pow1` `add-cbrt-cube`
4×	`div-exp` `associate-/l*`
3×	`expm1-log1p-u` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-flip` `inv-pow`
1×	`cbrt-undiv` `associate-/r/` `associate-/l/`

Calls

3 calls:

Slowest

5.0ms	(/ (/ 1 (expm1 x)) (/ 1 (exp x)))
1.0ms	(/ 1 (expm1 x))
1.0ms	(/ 1 (exp x))

series67.0ms

Calls

3 calls:

Slowest

29.0ms	(/ (/ 1 (expm1 x)) (/ 1 (exp x)))
26.0ms	(/ 1 (expm1 x))
12.0ms	(/ 1 (exp x))

simplify2.1s

Calls

61 calls:

Slowest

803.0ms	(/ (* (* (/ 1 (expm1 x)) (/ 1 (expm1 x))) (/ 1 (expm1 x))) (* (* (/ 1 (exp x)) (/ 1 (exp x))) (/ 1 (exp x))))
73.0ms	(- (+ (* 1/12 x) (/ 1 x)) 1/2)
66.0ms	(- (+ (* 1/2 (pow x 2)) 1) x)
64.0ms	(/ (* (cbrt (/ 1 (expm1 x))) (cbrt (/ 1 (expm1 x)))) (* (cbrt (/ 1 (exp x))) (cbrt (/ 1 (exp x)))))
62.0ms	(/ (/ 1 (expm1 x)) (/ 1 (exp x)))

prune694.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.0s	2533×	body	10240	exit
995.0ms	2270×	body	1280	valid
837.0ms	1700×	body	640	valid
233.0ms	783×	body	320	valid
161.0ms	2850×	body	80	valid
48.0ms	397×	body	160	valid