Details

sample81.0ms

Algorithm

intervals

Results

54.0ms	182×	body	1280	valid
6.0ms	42×	body	640	valid
6.0ms	246×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	12×	body	160	valid

simplify215.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	100	5
6	144	5
7	296	5
8	1321	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.0b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `add-cube-cbrt` `sub-neg` `associate-+l+` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `difference-of-squares`

Counts

2 → 35

Calls

2 calls:

10.0ms	(- (exp x) 2.0)
51.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(- (exp x) 2.0)
53.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify93.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	211	282
1	715	269
2	3477	260
3	5001	260

prune90.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.1b	(* 1/360 (pow x 6))
0.1b	(* 1/12 (pow x 4))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-exp-log`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `associate-+r+` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

26.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
12.0ms	(* 1/360 (pow x 6))
12.0ms	(* 1/12 (pow x 4))

series124.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
45.0ms	(* 1/360 (pow x 6))
33.0ms	(* 1/12 (pow x 4))

simplify43.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	283	367
1	1255	340
2	5001	327

prune158.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/12 (pow x 4))
45.3b	(/ (+ (pow x 4) (- (* (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))) (- (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
32×	`times-frac`
27×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`difference-of-squares`
17×	`unpow-prod-down`
12×	`add-cbrt-cube`
11×	`sqr-pow`
9×	`associate-l` `prod-exp` `distribute-lft-out` `unswap-sqr`
8×	`associate-/r*`
5×	`distribute-lft-out--` `unpow2`
4×	`pow1` `associate-/l*` `add-log-exp`
3×	`pow-to-exp` `div-sub` `pow-exp` `*-commutative` `cbrt-unprod`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `neg-sub0` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `unsub-neg` `clear-num` `flip--` `flip-+` `div-inv`

Counts

4 → 138

Calls

4 calls:

12.0ms	(* 1/12 (pow x 4))
12.0ms	(* 1/12 (pow x 4))
12.0ms	(* 1/12 (pow x 4))
76.0ms	(/ (+ (pow x 4) (- (* (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))) (- (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

series232.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 1/12 (pow x 4))
34.0ms	(* 1/12 (pow x 4))
33.0ms	(* 1/12 (pow x 4))
132.0ms	(/ (+ (pow x 4) (- (* (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))) (- (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	360	2546
1	1741	2337
2	5002	2205

prune347.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.7s	5633×	body	1280	valid
197.0ms	1261×	body	640	valid
189.0ms	7991×	body	80	valid
58.0ms	628×	body	320	valid
19.0ms	309×	body	160	valid