Details

sample96.0ms

Algorithm

intervals

Results

27.0ms	69×	body	1280	valid
26.0ms	91×	body	10240	exit
20.0ms	55×	body	640	valid
5.0ms	31×	body	320	valid
4.0ms	90×	body	80	valid
1.0ms	11×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.7b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1))
3.6b	(- (exp x) 1)

rewrite60.0ms

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:

29.0ms	(/ (exp x) (- (exp x) 1))
16.0ms	(- (exp x) 1)

series47.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (exp x) (- (exp x) 1))
17.0ms	(- (exp x) 1)

simplify1.9s

Counts

86 → 86

Iterations

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

prune227.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1)
0.3b	(/ (exp x) (expm1 (+ x x)))
0.3b	(* (/ (exp x) (expm1 (+ x x))) (+ (exp x) 1))

rewrite73.0ms

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)
10.0ms	(/ (exp x) (expm1 (+ x x)))
51.0ms	(* (/ (exp x) (expm1 (+ x x))) (+ (exp x) 1))

series112.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (exp x) 1)
50.0ms	(/ (exp x) (expm1 (+ x x)))
52.0ms	(* (/ (exp x) (expm1 (+ x x))) (+ (exp x) 1))

simplify1.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5024
2	1856
1	452
0	140

prune413.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 expressions with local error:

0.2b	(fma (/ (exp x) (expm1 (+ x x))) (exp x) (/ (exp x) (expm1 (+ x x))))
0.3b	(/ (exp x) (expm1 (+ x x)))
0.3b	(/ (exp x) (expm1 (+ x x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

1.0ms	(fma (/ (exp x) (expm1 (+ x x))) (exp x) (/ (exp x) (expm1 (+ x x))))
13.0ms	(/ (exp x) (expm1 (+ x x)))
13.0ms	(/ (exp x) (expm1 (+ x x)))

series256.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(fma (/ (exp x) (expm1 (+ x x))) (exp x) (/ (exp x) (expm1 (+ x x))))
65.0ms	(/ (exp x) (expm1 (+ x x)))
74.0ms	(/ (exp x) (expm1 (+ x x)))

simplify1.8s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	1178
2	475
1	172
0	86

prune455.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:

19.0ms	(+ (fma x 1/12 1/2) (/ 1 x))
1.0ms	(fma x 1/12 1/2)

series90.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (fma x 1/12 1/2) (/ 1 x))
62.0ms	(fma x 1/12 1/2)

simplify1.5s

Counts

37 → 37

Iterations

Iter	Nodes
done	5002
3	1296
2	341
1	105
0	45

prune143.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

761.0ms	2245×	body	1280	valid
706.0ms	2428×	body	10240	exit
509.0ms	2832×	body	80	valid
388.0ms	1667×	body	640	valid
183.0ms	828×	body	320	valid
39.0ms	431×	body	160	valid