Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	62×	body	1280	valid
8.0ms	78×	body	10240	exit
5.0ms	46×	body	640	valid
2.0ms	108×	body	80	valid
2.0ms	27×	body	320	valid
1.0ms	13×	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: 37.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
3.8b	(- (exp x) 1.0)

rewrite29.0ms

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:

17.0ms	(/ (exp x) (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)

series42.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (16.0ms)

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

prune114.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

12.0ms	(+ (* 1/12 x) (/ 1 x))
7.0ms	(* 1/12 x)

series57.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* 1/12 x) (/ 1 x))
14.0ms	(* 1/12 x)

simplify70.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	130	119
1	448	110
2	2305	109
3	5001	109

prune56.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.8b	(- 1 (/ 1.0 (exp x)))

rewrite58.0ms

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:

31.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
8.0ms	(/ 1.0 (exp x))
15.0ms	(- 1 (/ 1.0 (exp x)))

series99.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
14.0ms	(/ 1.0 (exp x))
38.0ms	(- 1 (/ 1.0 (exp x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	310	724
1	1324	622
2	5001	621

prune147.0ms

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 (- 1 (log (exp (/ 1.0 (exp x))))))
0.0b	(/ 1.0 (exp x))
0.3b	(log (exp (/ 1.0 (exp x))))
3.8b	(- 1 (log (exp (/ 1.0 (exp x)))))

rewrite147.0ms

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:

83.0ms	(/ 1 (- 1 (log (exp (/ 1.0 (exp x))))))
7.0ms	(/ 1.0 (exp x))
10.0ms	(log (exp (/ 1.0 (exp x))))
44.0ms	(- 1 (log (exp (/ 1.0 (exp x)))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1 (- 1 (log (exp (/ 1.0 (exp x))))))
13.0ms	(/ 1.0 (exp x))
14.0ms	(log (exp (/ 1.0 (exp x))))
36.0ms	(- 1 (log (exp (/ 1.0 (exp x)))))

simplify38.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	334	916
1	1261	744
2	5002	710

prune220.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

97.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	20
1	33	20

end0.0ms

sample1.1s

Algorithm

intervals

Results

374.0ms	2283×	body	1280	valid
259.0ms	2513×	body	10240	exit
172.0ms	1665×	body	640	valid
58.0ms	2915×	body	80	valid
50.0ms	761×	body	320	valid
16.0ms	379×	body	160	valid