Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	82×	body	10240	exit
11.0ms	67×	body	1280	valid
7.0ms	60×	body	640	valid
2.0ms	32×	body	320	valid
2.0ms	79×	body	80	valid
1.0ms	18×	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

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 44.5b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (exp x) (- (exp x) 1.0))
5.7b	(- (exp x) 1.0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`add-exp-log` `associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3--` `div-exp` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

2 → 68

Calls

2 calls:

7.0ms	(/ (exp x) (- (exp x) 1.0))
5.0ms	(- (exp x) 1.0)

series48.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (exp x) (- (exp x) 1.0))
16.0ms	(- (exp x) 1.0)

simplify177.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (171.0ms)

Iter	Nodes	Cost
0	236	523
1	784	433
2	4452	420
3	5001	408

prune117.0ms

Filtered

74 candidates to 50 candidates (32.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1/12 x (/ 1 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 1/12 x (/ 1 x))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(fma 1/12 x (/ 1 x))

simplify62.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	43
1	49	38
2	150	38
3	482	38
4	2335	38
5	5002	38

prune26.0ms

Filtered

13 candidates to 10 candidates (23.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
5.7b	(- 1 (/ 1.0 (exp x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
70×	`times-frac`
59×	`add-cube-cbrt`
39×	`prod-diff`
20×	`difference-of-squares`
11×	`associate-/r*`
10×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`div-inv` `distribute-lft-out--` `add-log-exp`
4×	`pow1` `div-exp`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 146

Calls

3 calls:

4.0ms	(/ 1.0 (exp x))
9.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
8.0ms	(- 1 (/ 1.0 (exp x)))

series105.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
55.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
37.0ms	(- 1 (/ 1.0 (exp x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	550	1840
1	2288	1283
2	5001	1190

prune139.0ms

Filtered

155 candidates to 73 candidates (52.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	155	4	159

Merged error: 0.0b

Counts

159 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.2b	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
0.3b	(/ (exp x) (/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0)))
5.9b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
103×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`associate-/r*`
20×	`associate-/r/`
18×	`distribute-lft-out`
14×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`associate-/l*`
7×	`div-exp`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `frac-2neg` `clear-num`
1×	`+-commutative` `sum-log` `fma-udef`

Counts

4 → 165

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
6.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
13.0ms	(/ (exp x) (/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0)))
1.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1.0)
74.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
88.0ms	(/ (exp x) (/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0)))
43.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	517	2252
1	2251	2142
2	5001	2139

prune363.0ms

Filtered

177 candidates to 133 candidates (24.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	177	4	181

Merged error: 0b

Counts

181 → 4

regimes56.0ms

Accuracy

97.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	15
1	25	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

386.0ms	2228×	body	1280	valid
275.0ms	2562×	body	10240	exit
173.0ms	1619×	body	640	valid
64.0ms	871×	body	320	valid
58.0ms	2854×	body	80	valid
22.0ms	428×	body	160	valid