Details

sample76.0ms

Algorithm

intervals

Results

23.0ms	71×	body	1280	valid
22.0ms	75×	body	10240	exit
9.0ms	45×	body	640	valid
6.0ms	36×	body	320	valid
4.0ms	91×	body	80	valid
1.0ms	13×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.9b

localize14.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (exp x) (- (exp x) 1))
4.7b	(- (exp x) 1)

rewrite49.0ms

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:

36.0ms	(/ (exp x) (- (exp x) 1))
11.0ms	(- (exp x) 1)

series69.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (exp x) (- (exp x) 1))
26.0ms	(- (exp x) 1)

simplify2.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5009
3	2011
2	607
1	258
0	126

prune173.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1)
1.0b	(* (/ (exp x) (expm1 (+ x x))) (+ (exp x) 1))
1.0b	(/ (exp x) (expm1 (+ x x)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

10.0ms	(+ (exp x) 1)
32.0ms	(* (/ (exp x) (expm1 (+ x x))) (+ (exp x) 1))
7.0ms	(/ (exp x) (expm1 (+ x x)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (exp x) 1)
53.0ms	(* (/ (exp x) (expm1 (+ x x))) (+ (exp x) 1))
47.0ms	(/ (exp x) (expm1 (+ x x)))

simplify1.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5018
2	1897
1	451
0	140

prune454.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1)
1.0b	(* (exp x) (/ (+ (exp x) 1) (expm1 (+ x x))))
1.0b	(/ (+ (exp x) 1) (expm1 (+ x x)))

rewrite98.0ms

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:

15.0ms	(+ (exp x) 1)
40.0ms	(* (exp x) (/ (+ (exp x) 1) (expm1 (+ x x))))
41.0ms	(/ (+ (exp x) 1) (expm1 (+ x x)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (exp x) 1)
83.0ms	(* (exp x) (/ (+ (exp x) 1) (expm1 (+ x x))))
68.0ms	(/ (+ (exp x) 1) (expm1 (+ x x)))

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1158
1	332
0	127

prune325.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.9b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma 1/12 x 1/2) (/ 1 x))
0.1b	(fma 1/12 x 1/2)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+` `div-inv`

Counts

2 → 31

Calls

2 calls:

13.0ms	(+ (fma 1/12 x 1/2) (/ 1 x))
1.0ms	(fma 1/12 x 1/2)

series67.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (fma 1/12 x 1/2) (/ 1 x))
50.0ms	(fma 1/12 x 1/2)

simplify1.5s

Counts

37 → 37

Iterations

Iter	Nodes
done	5009
3	1590
2	424
1	117
0	44

prune100.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.1s	2513×	body	10240	exit
1.0s	2262×	body	1280	valid
959.0ms	1624×	body	640	valid
264.0ms	2763×	body	80	valid
186.0ms	891×	body	320	valid
92.0ms	460×	body	160	valid