Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	78×	body	1280	valid
7.0ms	69×	body	10240	exit
6.0ms	56×	body	640	valid
2.0ms	25×	body	320	valid
2.0ms	88×	body	80	valid
0.0ms	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))
2.7b	(- (exp x) 1.0)

rewrite14.0ms

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:

8.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series46.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify68.0ms

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

prune114.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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)

rewrite27.0ms

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:

17.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
6.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series70.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
40.0ms	(+ (* 1/12 x) (/ 1 x))
16.0ms	(* 1/12 x)

simplify102.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	200	222
1	701	209
2	3831	207
3	5003	207

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 1/12 x) (/ 1 x)))
0.5b	(cbrt (+ (* 1/12 x) (/ 1 x)))
0.5b	(cbrt (+ (* 1/12 x) (/ 1 x)))
0.5b	(* (cbrt (+ (* 1/12 x) (/ 1 x))) (cbrt (+ (* 1/12 x) (/ 1 x))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

6.0ms	(cbrt (+ (* 1/12 x) (/ 1 x)))
6.0ms	(cbrt (+ (* 1/12 x) (/ 1 x)))
6.0ms	(cbrt (+ (* 1/12 x) (/ 1 x)))
50.0ms	(* (cbrt (+ (* 1/12 x) (/ 1 x))) (cbrt (+ (* 1/12 x) (/ 1 x))))

series473.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ (* 1/12 x) (/ 1 x)))
112.0ms	(cbrt (+ (* 1/12 x) (/ 1 x)))
111.0ms	(cbrt (+ (* 1/12 x) (/ 1 x)))
134.0ms	(* (cbrt (+ (* 1/12 x) (/ 1 x))) (cbrt (+ (* 1/12 x) (/ 1 x))))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	361	1208
1	1243	1135
2	5001	1081

prune253.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
2.7b	(- 1 (/ 1.0 (exp x)))

rewrite36.0ms

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:

18.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
3.0ms	(/ 1.0 (exp x))
9.0ms	(- 1 (/ 1.0 (exp x)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify38.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (29.0ms)

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

prune139.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

96.1% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 21.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

387.0ms	2327×	body	1280	valid
271.0ms	2534×	body	10240	exit
172.0ms	1635×	body	640	valid
56.0ms	2835×	body	80	valid
54.0ms	807×	body	320	valid
17.0ms	397×	body	160	valid