Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	82×	body	1280	valid
8.0ms	73×	body	10240	exit
5.0ms	41×	body	640	valid
3.0ms	39×	body	320	valid
2.0ms	85×	body	80	valid
1.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
2.5b	(- (exp x) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

7.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series46.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354

prune113.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

7.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
6.0ms	(+ (* 1/12 x) (/ 1 x))
4.0ms	(* 1/12 x)

series72.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
44.0ms	(+ (* 1/12 x) (/ 1 x))
14.0ms	(* 1/12 x)

simplify103.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	200	216
1	705	205
2	3820	204
3	5002	204

prune81.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
2.5b	(- 1 (/ 1.0 (exp x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

4.0ms	(/ 1.0 (exp x))
10.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms	(- 1 (/ 1.0 (exp x)))

series102.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
53.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
36.0ms	(- 1 (/ 1.0 (exp x)))

simplify37.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	310	724
1	1324	622
2	5002	621

prune152.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (cbrt (pow (- 1 (/ 1.0 (exp x))) 3)))
0.0b	(pow (- 1 (/ 1.0 (exp x))) 3)
0.1b	(cbrt (pow (- 1 (/ 1.0 (exp x))) 3))
2.5b	(- 1 (/ 1.0 (exp x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

156×	`add-sqr-sqrt`
110×	`cbrt-prod`
104×	`*-un-lft-identity`
101×	`times-frac`
52×	`add-cube-cbrt` `difference-of-squares`
48×	`unpow-prod-down` `cube-prod`
25×	`associate-/r*`
13×	`distribute-lft-out--`
9×	`add-exp-log`
6×	`pow1` `cube-div` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
4×	`cbrt-div` `flip3--` `flip--`
3×	`pow-unpow` `associate-/l*`
2×	`pow-flip` `pow1/3` `div-exp` `associate-/r/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `rec-exp` `pow-pow` `frac-2neg` `diff-log` `1-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `div-inv` `inv-pow` `rem-cube-cbrt`

Counts

4 → 207

Calls

4 calls:

18.0ms	(/ 1 (cbrt (pow (- 1 (/ 1.0 (exp x))) 3)))
8.0ms	(pow (- 1 (/ 1.0 (exp x))) 3)
9.0ms	(cbrt (pow (- 1 (/ 1.0 (exp x))) 3))
7.0ms	(- 1 (/ 1.0 (exp x)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (cbrt (pow (- 1 (/ 1.0 (exp x))) 3)))
69.0ms	(pow (- 1 (/ 1.0 (exp x))) 3)
41.0ms	(cbrt (pow (- 1 (/ 1.0 (exp x))) 3))
36.0ms	(- 1 (/ 1.0 (exp x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	468	1963
1	2072	1641
2	5001	1597

prune234.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

97.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

394.0ms	2222×	body	1280	valid
308.0ms	2609×	body	10240	exit
190.0ms	1692×	body	640	valid
60.0ms	2879×	body	80	valid
59.0ms	819×	body	320	valid
18.0ms	390×	body	160	valid