Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	77×	body	1280	valid
9.0ms	88×	body	10240	exit
6.0ms	53×	body	640	valid
2.0ms	90×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	14×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 42.5b

localize4.0ms

Local error

Found 2 expressions with local error:

1.2b	(/ (exp x) (- (exp x) 1.0))
4.9b	(- (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)

series43.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (exp x) (- (exp x) 1.0))
14.0ms	(- (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

prune118.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

5.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series54.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* 1/12 x) (/ 1 x))
16.0ms	(* 1/12 x)

simplify68.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (16.0ms)

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

prune57.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
4.9b	(- 1 (/ 1.0 (exp x)))

rewrite33.0ms

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:

19.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
3.0ms	(/ 1.0 (exp x))
8.0ms	(- 1 (/ 1.0 (exp x)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
12.0ms	(/ 1.0 (exp x))
34.0ms	(- 1 (/ 1.0 (exp x)))

simplify37.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	310	728
1	1324	625
2	5002	623

prune149.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- 1 (exp (- (log 1.0) x))))
4.9b	(- 1 (exp (- (log 1.0) x)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

35.0ms	(/ 1 (- 1 (exp (- (log 1.0) x))))
16.0ms	(- 1 (exp (- (log 1.0) x)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ 1 (- 1 (exp (- (log 1.0) x))))
34.0ms	(- 1 (exp (- (log 1.0) x)))

simplify100.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	200	550
1	858	468
2	3483	455
3	5001	455

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 22.3b

bsearch63.0ms

Steps

Iters	Range		Point
10	5.939545479408298e-16	0.006665254470786589	0.0009641487078301664
9	-14674.600957416102	-0.00012459925560949148	-0.0018711434362285975

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	33
1	39	33

end0.0ms

sample1.1s

Algorithm

intervals

Results

374.0ms	2183×	body	1280	valid
277.0ms	2589×	body	10240	exit
183.0ms	1659×	body	640	valid
61.0ms	790×	body	320	valid
57.0ms	2974×	body	80	valid
18.0ms	394×	body	160	valid