Details

sample99.0ms

Algorithm

intervals

Results

29.0ms	76×	body	1280	valid
29.0ms	81×	body	10240	exit
14.0ms	45×	body	640	valid
6.0ms	108×	body	80	valid
5.0ms	8×	body	160	valid
4.0ms	19×	body	320	valid

simplify23.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.4b

localize13.0ms

Local error

Found 2 expressions with local error:

3.0b	(- (exp x) 1)
0.0b	(/ (exp x) (- (exp x) 1))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
21×	`times-frac` `add-cube-cbrt`
10×	`difference-of-squares`
9×	`prod-diff`
7×	`associate-/r*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `add-exp-log` `associate-/l*`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`cbrt-undiv` `expm1-def` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 80

Calls

2 calls:

Slowest

32.0ms	(/ (exp x) (- (exp x) 1))
14.0ms	(- (exp x) 1)

series63.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

42.0ms	(/ (exp x) (- (exp x) 1))
21.0ms	(- (exp x) 1)

simplify2.6s

Counts: 86 → 86

prune560.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(* (/ (exp x) (expm1 (+ x x))) (+ (exp x) 1))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`pow1` `associate-r` `add-log-exp`
3×	`fma-def` `flip3-+` `flip-+`
2×	`expm1-log1p-u` `frac-times` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `unswap-sqr`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `sum-log` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

2 → 60

Calls

2 calls:

Slowest

40.0ms	(* (/ (exp x) (expm1 (+ x x))) (+ (exp x) 1))
9.0ms	(+ (exp x) 1)

series80.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

71.0ms	(* (/ (exp x) (expm1 (+ x x))) (+ (exp x) 1))
9.0ms	(+ (exp x) 1)

simplify2.2s

Counts: 66 → 66

prune528.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(/ (+ (exp x) 1) (expm1 (+ x x)))
0.0b	(* (exp x) (/ (+ (exp x) 1) (expm1 (+ x x))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt`
16×	`associate-r`
10×	`add-cbrt-cube`
8×	`add-exp-log` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `fma-def` `associate-l*` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 92

Calls

3 calls:

Slowest

30.0ms	(* (exp x) (/ (+ (exp x) 1) (expm1 (+ x x))))
19.0ms	(/ (+ (exp x) 1) (expm1 (+ x x)))
7.0ms	(+ (exp x) 1)

series145.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

79.0ms	(* (exp x) (/ (+ (exp x) 1) (expm1 (+ x x))))
55.0ms	(/ (+ (exp x) 1) (expm1 (+ x x)))
10.0ms	(+ (exp x) 1)

simplify824.0ms

Counts: 101 → 101

prune624.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

26.9b	(cbrt (* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x))))
0.2b	(* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x)))
0.1b	(* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x)))
0.0b	(/ (exp x) (expm1 x))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
59×	`times-frac` `add-cbrt-cube`
47×	`*-un-lft-identity` `add-cube-cbrt`
41×	`add-exp-log`
30×	`pow1`
26×	`associate-r`
22×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
14×	`associate-l`
13×	`swap-sqr`
11×	`frac-times` `associate-*l/`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `associate-/r` `pow-sqr` `associate-/l`
2×	`pow3` `*-commutative`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `rem-cbrt-cube`

Counts

4 → 185

Calls

4 calls:

Slowest

82.0ms	(* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x)))
57.0ms	(cbrt (* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x))))
26.0ms	(* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x)))
5.0ms	(/ (exp x) (expm1 x))

series196.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

83.0ms	(* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x)))
54.0ms	(* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x)))
32.0ms	(cbrt (* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x))))
26.0ms	(/ (exp x) (expm1 x))

simplify1.0s

Counts: 197 → 197

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.3s	2585×	body	10240	exit
799.0ms	2258×	body	1280	valid
439.0ms	1674×	body	640	valid
134.0ms	828×	body	320	valid
130.0ms	2790×	body	80	valid
100.0ms	450×	body	160	valid