Details

sample57.0ms

Algorithm

intervals

Results

41.0ms	107×	body	10240	exit
6.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	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: 0.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.4b	(/ (exp a) (+ (exp a) (exp b)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

4.0ms	(+ (exp a) (exp b))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify90.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	171	405
1	513	376
2	1324	374
3	4489	373
4	5001	373

prune104.0ms

Filtered

58 candidates to 44 candidates (75.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 0.1b

Counts

59 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.6b	(- a (log (+ (exp a) (exp b))))
1.6b	(log (+ (exp a) (exp b)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

4.0ms	(+ (exp a) (exp b))
8.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series89.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (exp a) (exp b))
33.0ms	(- a (log (+ (exp a) (exp b))))
38.0ms	(log (+ (exp a) (exp b)))

simplify72.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	239	776
1	611	565
2	2217	556
3	5001	449

prune145.0ms

Filtered

81 candidates to 52 candidates (64.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	2	83

Merged error: 0.1b

Counts

83 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp b) (exp a))
0.0b	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
0.4b	(/ (exp a) (+ (exp b) (exp a)))
0.5b	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
60×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`cbrt-prod`
36×	`unpow-prod-down` `cube-prod`
17×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `associate-/l*`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube`

Counts

4 → 164

Calls

4 calls:

4.0ms	(+ (exp b) (exp a))
9.0ms	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
7.0ms	(/ (exp a) (+ (exp b) (exp a)))
9.0ms	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))

series137.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp b) (exp a))
49.0ms	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
31.0ms	(/ (exp a) (+ (exp b) (exp a)))
36.0ms	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))

simplify58.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	446	1633
1	1907	1511
2	5002	1493

prune245.0ms

Filtered

176 candidates to 93 candidates (52.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	176	2	178

Merged error: 0.1b

Counts

178 → 2

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3411×	body	10240	exit
199.0ms	8000×	body	80	valid