Details

sample56.0ms

Algorithm

intervals

Results

29.0ms	71×	body	10240	exit
10.0ms	266×	body	80	valid
2.0ms	4×	body	1280	valid
2.0ms	8×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	4×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	23	5
3	23	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.3b	(log (+ 1.0 (exp x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `fma-neg` `prod-diff` `associate--l+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 62

Calls

3 calls:

3.0ms	(+ 1.0 (exp x))
8.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
57.0ms	(- (log (+ 1.0 (exp x))) (* x y))
57.0ms	(log (+ 1.0 (exp x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	236	404
1	702	369
2	2284	367
3	5002	340

prune141.0ms

Filtered

71 candidates to 54 candidates (76.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.3b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.7b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
5.7b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `log-div` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod`
2×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `sum-cubes` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

4.0ms	(pow (exp x) 3)
11.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
7.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
8.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series269.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp x) 3)
92.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
48.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
106.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	398	699
1	1683	631
2	5001	622

prune268.0ms

Filtered

95 candidates to 66 candidates (69.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	95	4	99

Merged error: 0b

Counts

99 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3)
0.7b	(cbrt (pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3))
5.7b	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
5.7b	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `log-prod`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-pow` `flip3-+` `fma-neg` `pow1/3` `diff-log` `rem-log-exp` `prod-diff` `pow-exp` `flip--` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 85

Calls

4 calls:

3.0ms	(pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3)
2.0ms	(cbrt (pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3))
7.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
14.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3)
87.0ms	(cbrt (pow (log (+ (pow 1.0 3) (pow (exp x) 3))) 3))
187.0ms	(- (* (exp x) (exp x)) (* 1.0 (exp x)))
105.0ms	(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	409	930
1	1503	846
2	5002	835

prune274.0ms

Filtered

97 candidates to 62 candidates (63.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	97	4	101

Merged error: 0b

Counts

101 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
0.0b	(fma 1/2 (pow x 2) (+ x 2.0))
7.5b	(log (fma 1/2 (pow x 2) (+ x 2.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
4×	`add-exp-log` `fma-neg` `prod-diff` `add-log-exp`
3×	`expm1-log1p-u` `associate--l+` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `fma-udef`

Counts

3 → 49

Calls

3 calls:

4.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
1.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
2.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
16.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
52.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify87.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	229	423
1	763	380
2	3267	376
3	5001	356

prune123.0ms

Filtered

58 candidates to 46 candidates (79.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	58	4	62

Merged error: 0b

Counts

62 → 4

regimes67.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	19
1	24	19

end0.0ms

sample1.7s

Algorithm

intervals

Results

994.0ms	2393×	body	10240	exit
336.0ms	8386×	body	80	valid
70.0ms	257×	body	640	valid
59.0ms	118×	body	1280	valid
31.0ms	190×	body	320	valid
11.0ms	110×	body	160	valid