Details

sample57.0ms

Algorithm

intervals

Results

32.0ms	83×	body	10240	exit
10.0ms	271×	body	80	valid
2.0ms	6×	body	640	valid
1.0ms	3×	body	1280	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify6.0ms

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)))

rewrite14.0ms

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))
6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1.0 (exp x))
64.0ms	(- (log (+ 1.0 (exp x))) (* x y))
67.0ms	(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

prune131.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Merged error: 0.2b

Counts

55 → 3

localize12.0ms

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

rewrite18.0ms

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

series316.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (cbrt (pow (log (+ 1.0 (exp x))) 3)) (* x y))
67.0ms	(log (+ 1.0 (exp x)))
68.0ms	(cbrt (pow (log (+ 1.0 (exp x))) 3))
123.0ms	(pow (log (+ 1.0 (exp x))) 3)

simplify42.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (34.0ms)

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

prune185.0ms

Filtered

87 candidates to 48 candidates (55.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Merged error: 0.2b

Counts

90 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

198×	`cbrt-prod`
166×	`sqrt-prod`
103×	`add-sqr-sqrt`
56×	`unpow-prod-down` `cube-prod`
47×	`*-un-lft-identity`
39×	`add-cube-cbrt`
38×	`pow1` `swap-sqr`
36×	`unswap-sqr`
26×	`log-pow`
20×	`associate-r` `associate-l`
19×	`sqr-pow`
8×	`pow1/3`
7×	`add-exp-log` `cube-mult` `unpow3`
5×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 207

Calls

4 calls:

3.0ms	(pow (log (+ 1.0 (exp x))) 3)
19.0ms	(* (cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3))) (cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3))))
4.0ms	(cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3)))
4.0ms	(cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(pow (log (+ 1.0 (exp x))) 3)
66.0ms	(* (cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3))) (cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3))))
105.0ms	(cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3)))
112.0ms	(cbrt (sqrt (pow (log (+ 1.0 (exp x))) 3)))

simplify67.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	347	3452
1	1311	3226
2	5001	2954

prune399.0ms

Filtered

219 candidates to 86 candidates (39.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	219	3	222

Merged error: 0.2b

Counts

222 → 3

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (log 2.0) 2)
1.0b	(pow (log 2.0) 2)
7.2b	(- (* (* 0.75 (pow x 2)) (+ (log 2.0) (pow (log 2.0) 2))) (* 3/2 (/ (* (pow (log 2.0) 2) (pow x 2)) (pow 2.0 2))))
9.1b	(cbrt (+ (* (pow (log 2.0) 2) (+ (* x 1.5) (log 2.0))) (- (* (* 0.75 (pow x 2)) (+ (log 2.0) (pow (log 2.0) 2))) (* 3/2 (/ (* (pow (log 2.0) 2) (pow x 2)) (pow 2.0 2))))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `unpow-prod-down` `flip3-+` `frac-add` `flip-+`
6×	`add-exp-log` `pow-unpow` `frac-sub` `add-log-exp`
4×	`add-cbrt-cube`
3×	`cbrt-prod` `flip3--` `flip--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `associate--l+` `log-pow` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `diff-log`

Counts

4 → 75

Calls

4 calls:

3.0ms	(pow (log 2.0) 2)
3.0ms	(pow (log 2.0) 2)
11.0ms	(- (* (* 0.75 (pow x 2)) (+ (log 2.0) (pow (log 2.0) 2))) (* 3/2 (/ (* (pow (log 2.0) 2) (pow x 2)) (pow 2.0 2))))
19.0ms	(cbrt (+ (* (pow (log 2.0) 2) (+ (* x 1.5) (log 2.0))) (- (* (* 0.75 (pow x 2)) (+ (log 2.0) (pow (log 2.0) 2))) (* 3/2 (/ (* (pow (log 2.0) 2) (pow x 2)) (pow 2.0 2))))))

series1.4s

Counts

4 → 8

Calls

4 calls:

0.0ms	(pow (log 2.0) 2)
0.0ms	(pow (log 2.0) 2)
633.0ms	(- (* (* 0.75 (pow x 2)) (+ (log 2.0) (pow (log 2.0) 2))) (* 3/2 (/ (* (pow (log 2.0) 2) (pow x 2)) (pow 2.0 2))))
765.0ms	(cbrt (+ (* (pow (log 2.0) 2) (+ (* x 1.5) (log 2.0))) (- (* (* 0.75 (pow x 2)) (+ (log 2.0) (pow (log 2.0) 2))) (* 3/2 (/ (* (pow (log 2.0) 2) (pow x 2)) (pow 2.0 2))))))

simplify113.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	723	2074
1	3707	2003
2	5001	2000

prune557.0ms

Filtered

83 candidates to 59 candidates (71.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	84	2	86

Merged error: 0.2b

Counts

86 → 2

regimes35.0ms

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	13	7
1	13	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2506×	body	10240	exit
310.0ms	8428×	body	80	valid
69.0ms	251×	body	640	valid
58.0ms	116×	body	1280	valid
28.0ms	179×	body	320	valid
10.0ms	105×	body	160	valid