Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	68×	body	1280	valid
8.0ms	76×	body	10240	exit
5.0ms	47×	body	640	valid
2.0ms	102×	body	80	valid
2.0ms	29×	body	320	valid
0.0ms	10×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4
done	8	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.8b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1.0))
2.6b	(- (exp x) 1.0)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 67

Calls

2 calls:

21.0ms	(/ (exp x) (- (exp x) 1.0))
12.0ms	(- (exp x) 1.0)

series43.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify191.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (185.0ms)

Iter	Nodes	Cost
0	237	520
1	786	429
2	4651	416
3	5001	404
done	5001	404

prune147.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

6.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
0.0ms	(fma 1/12 x (/ 1 x))

series68.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (fma 1/12 x (/ 1 x)) 1/2)
52.0ms	(fma 1/12 x (/ 1 x))

simplify38.0ms

Counts

34 → 34

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	90	126
1	306	119
2	1283	117
3	5001	116
done	5001	116

prune63.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.0b	(* (exp x) (exp x))
0.0b	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
2.6b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

226×	`add-sqr-sqrt`
163×	`*-un-lft-identity`
144×	`prod-diff`
126×	`unpow-prod-down` `cube-prod`
123×	`add-cube-cbrt`
84×	`associate-l`
76×	`times-frac`
64×	`difference-of-squares`
58×	`sqr-pow`
26×	`cube-mult` `unpow3`
21×	`exp-prod`
20×	`distribute-lft-out--`
14×	`pow1`
12×	`fma-neg` `add-cbrt-cube`
8×	`add-exp-log`
6×	`associate-r` `add-log-exp`
5×	`pow-prod-down`
4×	`difference-cubes` `expm1-log1p-u` `pow-pow` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`pow-unpow` `swap-sqr` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`frac-times` `flip3--` `flip3-+` `associate-r/` `associate-/r/` `-commutative` `flip--` `flip-+`
1×	`cbrt-undiv` `pow2` `distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `pow-plus` `diff-log` `div-exp` `associate-*l/` `pow-exp` `div-inv` `rem-cube-cbrt`

Counts

4 → 364

Calls

4 calls:

4.0ms	(pow (exp x) 3)
18.0ms	(* (exp x) (exp x))
202.0ms	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
44.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series198.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
13.0ms	(* (exp x) (exp x))
118.0ms	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
43.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify75.0ms

Counts

376 → 376

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1233	4135
1	5002	3326
done	5002	3326

prune579.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

99% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 21.5b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19
done	30	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

360.0ms	2201×	body	1280	valid
250.0ms	2484×	body	10240	exit
175.0ms	1708×	body	640	valid
54.0ms	811×	body	320	valid
52.0ms	2888×	body	80	valid
16.0ms	392×	body	160	valid