Details

sample56.0ms

Algorithm

intervals

Results

30.0ms	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

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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)))

rewrite15.0ms

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:

4.0ms	(+ 1.0 (exp x))
6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
4.0ms	(log (+ 1.0 (exp x)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ 1.0 (exp x))
61.0ms	(- (log (+ 1.0 (exp x))) (* x y))
65.0ms	(log (+ 1.0 (exp x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (54.0ms)

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

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))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
21×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`fma-neg` `prod-diff`
16×	`unpow-prod-down` `cube-prod`
14×	`pow1`
9×	`log-pow`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `cube-mult` `log-prod` `unpow3` `log1p-expm1-u` `sqr-pow`
3×	`pow-unpow`
2×	`log-div`
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 → 117

Calls

4 calls:

9.0ms	(- (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)
3.0ms	(cbrt (pow (log (+ 1.0 (exp x))) 3))

series302.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (cbrt (pow (log (+ 1.0 (exp x))) 3)) (* x y))
58.0ms	(log (+ 1.0 (exp x)))
124.0ms	(pow (log (+ 1.0 (exp x))) 3)
59.0ms	(cbrt (pow (log (+ 1.0 (exp x))) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	363	867
1	1293	756
2	5001	737

prune215.0ms

Filtered

129 candidates to 70 candidates (54.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	129	4	133

Merged error: 0.0b

Counts

133 → 4

localize19.0ms

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))

rewrite18.0ms

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×	`expm1-log1p-u` `log-prod` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `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 → 91

Calls

4 calls:

3.0ms	(pow (log (+ 1.0 (exp x))) (sqrt 3))
4.0ms	(log (+ 1.0 (exp x)))
4.0ms	(cbrt (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3)))
5.0ms	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3))

series1.7s

Counts

4 → 12

Calls

4 calls:

276.0ms	(pow (log (+ 1.0 (exp x))) (sqrt 3))
60.0ms	(log (+ 1.0 (exp x)))
848.0ms	(cbrt (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3)))
539.0ms	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	530	1132
1	2262	1047
2	5002	1041

prune274.0ms

Filtered

103 candidates to 72 candidates (69.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

localize19.0ms

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))))

rewrite26.0ms

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×	`expm1-log1p-u` `log-prod` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `pow-pow`
1×	`flip3-+` `pow1/3` `rem-log-exp` `flip-+` `distribute-lft-out`

Counts

4 → 113

Calls

4 calls:

7.0ms	(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)))
4.0ms	(log (+ 1.0 (exp x)))
6.0ms	(cbrt (pow (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3))) (sqrt (sqrt 3))))

series3.2s

Counts

4 → 12

Calls

4 calls:

988.0ms	(pow (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3))) (sqrt (sqrt 3)))
591.0ms	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3)))
65.0ms	(log (+ 1.0 (exp x)))
1.6s	(cbrt (pow (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt (sqrt 3))) (sqrt (sqrt 3))))

simplify73.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	635	1947
1	2472	1807
2	5001	1797

prune377.0ms

Filtered

125 candidates to 85 candidates (68.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	124	4	128

Merged error: 0.0b

Counts

128 → 4

regimes78.0ms

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

961.0ms	2366×	body	10240	exit
310.0ms	8351×	body	80	valid
71.0ms	268×	body	640	valid
58.0ms	117×	body	1280	valid
30.0ms	192×	body	320	valid
13.0ms	113×	body	160	valid