Details

sample55.0ms

Algorithm

intervals

Results

29.0ms	64×	body	10240	exit
9.0ms	264×	body	80	valid
3.0ms	12×	body	640	valid
2.0ms	3×	body	1280	valid
1.0ms	6×	body	320	valid
0.0ms	5×	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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.3b	(log (+ 1.0 (exp x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ 1.0 (exp x))
65.0ms	(log (+ 1.0 (exp x)))

simplify105.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 4 (101.0ms)

Iter	Nodes	Cost
0	137	181
1	364	163
2	1024	163
3	3614	161
4	5001	159

prune85.0ms

Filtered

40 candidates to 31 candidates (77.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	4	41

Merged error: 0.2b

Counts

41 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`cbrt-prod`
12×	`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×	`expm1-log1p-u` `log-prod` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
2×	`cube-mult` `log-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 86

Calls

4 calls:

8.0ms	(+ (exp x) 1.0)
4.0ms	(log (+ (exp x) 1.0))
2.0ms	(cbrt (pow (log (+ (exp x) 1.0)) 3))
3.0ms	(pow (log (+ (exp x) 1.0)) 3)

series244.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (exp x) 1.0)
58.0ms	(log (+ (exp x) 1.0))
63.0ms	(cbrt (pow (log (+ (exp x) 1.0)) 3))
116.0ms	(pow (log (+ (exp x) 1.0)) 3)

simplify42.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	269	526
1	1001	494
2	5001	485

prune172.0ms

Filtered

98 candidates to 58 candidates (59.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	98	4	102

Merged error: 0.2b

Counts

102 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(log (+ (exp x) 1.0))
0.3b	(log (+ (exp x) 1.0))
0.7b	(cbrt (* (pow (log (+ (exp x) 1.0)) 2) (log (+ (exp x) 1.0))))
0.7b	(pow (log (+ (exp x) 1.0)) 2)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-prod`
7×	`add-exp-log`
4×	`expm1-log1p-u` `unpow-prod-down` `log-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-pow`
2×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `unpow2`
1×	`cbrt-prod` `pow-to-exp` `pow-pow` `pow1/3` `pow3` `pow-exp` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

4.0ms	(log (+ (exp x) 1.0))
4.0ms	(log (+ (exp x) 1.0))
3.0ms	(cbrt (* (pow (log (+ (exp x) 1.0)) 2) (log (+ (exp x) 1.0))))
6.0ms	(pow (log (+ (exp x) 1.0)) 2)

series270.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(log (+ (exp x) 1.0))
63.0ms	(log (+ (exp x) 1.0))
59.0ms	(cbrt (* (pow (log (+ (exp x) 1.0)) 2) (log (+ (exp x) 1.0))))
85.0ms	(pow (log (+ (exp x) 1.0)) 2)

simplify71.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	211	501
1	642	390
2	2416	387
3	5001	382

prune171.0ms

Filtered

79 candidates to 54 candidates (68.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0.2b

Counts

83 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (log (+ 1.0 (exp x))))
0.0b	(+ 1.0 (exp x))
0.0b	(expm1 (log1p (log (+ 1.0 (exp x)))))
0.3b	(log (+ 1.0 (exp x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
5×	`pow1` `add-exp-log` `expm1-log1p-u`
4×	`log-prod` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def`
2×	`log-div` `flip3-+` `flip-+` `distribute-lft-out`
1×	`+-commutative` `log1p-udef` `expm1-log1p` `log1p-expm1` `rem-log-exp` `sum-log` `log-pow` `expm1-udef`

Counts

4 → 56

Calls

4 calls:

1.0ms	(log1p (log (+ 1.0 (exp x))))
3.0ms	(+ 1.0 (exp x))
1.0ms	(expm1 (log1p (log (+ 1.0 (exp x)))))
3.0ms	(log (+ 1.0 (exp x)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(log1p (log (+ 1.0 (exp x))))
8.0ms	(+ 1.0 (exp x))
230.0ms	(expm1 (log1p (log (+ 1.0 (exp x)))))
64.0ms	(log (+ 1.0 (exp x)))

simplify86.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	251	370
1	777	332
2	2932	322
3	5001	321

prune138.0ms

Filtered

68 candidates to 49 candidates (72.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	68	4	72

Merged error: 0.2b

Counts

72 → 4

regimes43.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	11
1	15	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

995.0ms	2499×	body	10240	exit
318.0ms	8483×	body	80	valid
61.0ms	231×	body	640	valid
54.0ms	111×	body	1280	valid
25.0ms	161×	body	320	valid
11.0ms	117×	body	160	valid