Details

sample58.0ms

Algorithm

intervals

Results

32.0ms	74×	body	10240	exit
10.0ms	271×	body	80	valid
2.0ms	3×	body	1280	valid
2.0ms	6×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	4×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	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

localize7.0ms

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)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

3.0ms	(+ 1.0 (exp x))
5.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1.0 (exp x))
55.0ms	(- (log (+ 1.0 (exp x))) (* x y))
65.0ms	(log (+ 1.0 (exp x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	207	322
1	584	301
2	1729	298
3	5001	297

prune109.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	4	55

Merged error: 0.0b

Counts

55 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (cbrt (pow (log (+ 1.0 (exp x))) 3)) (* x y))
0.3b	(log (+ 1.0 (exp x)))
0.7b	(pow (log (+ 1.0 (exp x))) 3)
0.7b	(cbrt (pow (log (+ 1.0 (exp x))) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

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

series304.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (cbrt (pow (log (+ 1.0 (exp x))) 3)) (* x y))
58.0ms	(log (+ 1.0 (exp x)))
121.0ms	(pow (log (+ 1.0 (exp x))) 3)
62.0ms	(cbrt (pow (log (+ 1.0 (exp x))) 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	304	592
1	1120	533
2	5002	518

prune145.0ms

Filtered

87 candidates to 48 candidates (55.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (+ 1.0 (exp x))) (sqrt 3))
0.3b	(log (+ 1.0 (exp x)))
0.7b	(cbrt (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3)))
0.7b	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`unpow-prod-down`
17×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-prod` `pow-unpow`
9×	`pow1`
8×	`add-exp-log`
6×	`sqrt-prod`
5×	`pow-exp` `sqr-pow`
4×	`log-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp`
2×	`log-div` `pow-pow`
1×	`flip3-+` `pow1/3` `rem-log-exp` `flip-+` `distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

3.0ms	(pow (log (+ 1.0 (exp x))) (sqrt 3))
3.0ms	(log (+ 1.0 (exp x)))
4.0ms	(cbrt (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3)))
8.0ms	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3))

series1.8s

Counts

4 → 12

Calls

4 calls:

263.0ms	(pow (log (+ 1.0 (exp x))) (sqrt 3))
66.0ms	(log (+ 1.0 (exp x)))
817.0ms	(cbrt (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3)))
699.0ms	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	507	1088
1	2178	1000
2	5001	995

prune245.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3))) (sqrt (sqrt 3)))
0.0b	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3)))
0.3b	(log (+ 1.0 (exp x)))
0.7b	(cbrt (pow (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3))) (sqrt (sqrt 3))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

60×	`unpow-prod-down`
22×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`pow-unpow` `sqrt-prod`
16×	`cbrt-prod`
13×	`pow-exp`
10×	`add-exp-log`
8×	`pow1` `sqr-pow`
5×	`pow-to-exp`
4×	`log-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `pow-pow`
1×	`flip3-+` `pow1/3` `rem-log-exp` `flip-+` `distribute-lft-out`

Counts

4 → 105

Calls

4 calls:

6.0ms	(pow (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3))) (sqrt (sqrt 3)))
5.0ms	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3)))
3.0ms	(log (+ 1.0 (exp x)))
5.0ms	(cbrt (pow (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3))) (sqrt (sqrt 3))))

series3.1s

Counts

4 → 12

Calls

4 calls:

1.0s	(pow (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3))) (sqrt (sqrt 3)))
603.0ms	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3)))
66.0ms	(log (+ 1.0 (exp x)))
1.4s	(cbrt (pow (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3))) (sqrt (sqrt 3))))

simplify66.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	614	1880
1	2389	1738
2	5003	1729

prune361.0ms

Filtered

117 candidates to 77 candidates (65.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	116	4	120

Merged error: 0.0b

Counts

120 → 4

regimes80.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	23
1	20	23

end0.0ms

sample1.7s

Algorithm

intervals

Results

951.0ms	2366×	body	10240	exit
315.0ms	8351×	body	80	valid
72.0ms	268×	body	640	valid
58.0ms	117×	body	1280	valid
31.0ms	192×	body	320	valid
11.0ms	113×	body	160	valid