Details

sample34.0ms

Algorithm

intervals

Results

12.0ms	79×	body	1280	valid
6.0ms	65×	body	10240	exit
5.0ms	53×	body	640	valid
2.0ms	98×	body	80	valid
1.0ms	12×	body	320	valid
1.0ms	14×	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: 40.3b

localize4.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (exp x) (- (exp x) 1.0))
4.1b	(- (exp x) 1.0)

rewrite31.0ms

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:

20.0ms	(/ (exp x) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)

series37.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/ (exp x) (- (exp x) 1.0))
13.0ms	(- (exp x) 1.0)

simplify69.0ms

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

prune115.0ms

Pruning

4 alts after pruning (4 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)

rewrite47.0ms

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:

28.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
11.0ms	(+ (* 1/12 x) (/ 1 x))
6.0ms	(* 1/12 x)

series66.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
37.0ms	(+ (* 1/12 x) (/ 1 x))
15.0ms	(* 1/12 x)

simplify102.0ms

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

prune78.0ms

Pruning

4 alts after pruning (3 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))))
4.1b	(- 1 (/ 1.0 (exp x)))

rewrite56.0ms

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:

6.0ms	(/ 1.0 (exp x))
32.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
15.0ms	(- 1 (/ 1.0 (exp x)))

series91.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ 1.0 (exp x))
47.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
32.0ms	(- 1 (/ 1.0 (exp x)))

simplify36.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (28.0ms)

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

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(log (exp (/ 1.0 (exp x))))
0.0b	(/ 1 (- 1 (log (exp (/ 1.0 (exp x))))))
4.1b	(- 1 (log (exp (/ 1.0 (exp x)))))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
39×	`times-frac`
33×	`add-cube-cbrt`
19×	`log-pow`
13×	`exp-prod`
11×	`pow1`
10×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`log-prod` `associate-/l*`
5×	`add-log-exp`
3×	`div-exp` `div-inv` `associate--r+`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `rem-log-exp` `inv-pow`

Counts

4 → 120

Calls

4 calls:

6.0ms	(/ 1.0 (exp x))
9.0ms	(log (exp (/ 1.0 (exp x))))
79.0ms	(/ 1 (- 1 (log (exp (/ 1.0 (exp x))))))
42.0ms	(- 1 (log (exp (/ 1.0 (exp x)))))

series107.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1.0 (exp x))
12.0ms	(log (exp (/ 1.0 (exp x))))
44.0ms	(/ 1 (- 1 (log (exp (/ 1.0 (exp x))))))
35.0ms	(- 1 (log (exp (/ 1.0 (exp x)))))

simplify36.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	334	916
1	1261	744
2	5001	710

prune214.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	27
1	41	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

367.0ms	2277×	body	1280	valid
252.0ms	2525×	body	10240	exit
173.0ms	1687×	body	640	valid
51.0ms	806×	body	320	valid
50.0ms	2833×	body	80	valid
17.0ms	399×	body	160	valid