Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	105×	body	80	overflowed

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune3.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

4.0ms	(+ (exp a) (exp b))
6.0ms	(/ (exp a) (+ (exp a) (exp b)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (exp a) (exp b))
11.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify88.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	163	384
1	486	357
2	1209	355
3	4128	355
4	5002	355

prune50.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
1.0b	(- a (log (+ (exp a) (exp b))))
3.8b	(log (+ (exp a) (exp b)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

4.0ms	(+ (exp a) (exp b))
5.0ms	(exp (- a (log (+ (exp a) (exp b)))))
7.0ms	(- a (log (+ (exp a) (exp b))))
6.0ms	(log (+ (exp a) (exp b)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (exp a) (exp b))
11.0ms	(exp (- a (log (+ (exp a) (exp b)))))
8.0ms	(- a (log (+ (exp a) (exp b))))
9.0ms	(log (+ (exp a) (exp b)))

simplify86.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	233	551
1	545	511
2	1232	496
3	4120	490
4	5001	488

prune77.0ms

Filtered

55 candidates to 80 candidates (-45.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Merged error: 0b

Counts

83 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.3b	(/ (exp a) (+ (exp a) (exp b)))
0.3b	(/ (exp a) (+ (exp a) (exp b)))
0.3b	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

122×	`*-un-lft-identity`
98×	`sqrt-prod`
90×	`add-sqr-sqrt` `times-frac`
62×	`add-cube-cbrt`
29×	`swap-sqr`
27×	`distribute-lft-out`
21×	`associate-r` `associate-l`
19×	`pow1`
12×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `associate-/r*`
7×	`flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`pow-prod-up`
4×	`sqrt-div`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 186

Calls

4 calls:

4.0ms	(+ (exp a) (exp b))
6.0ms	(/ (exp a) (+ (exp a) (exp b)))
6.0ms	(/ (exp a) (+ (exp a) (exp b)))
25.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp a) (exp b))
11.0ms	(/ (exp a) (+ (exp a) (exp b)))
11.0ms	(/ (exp a) (+ (exp a) (exp b)))
11.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	326	1942
1	1527	1807
2	5002	1781

prune145.0ms

Filtered

118 candidates to 198 candidates (-67.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	198	3	201

Merged error: 0b

Counts

201 → 3

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0b

Counts

3 → 3

regimes172.0ms

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

sample601.0ms

Algorithm

intervals

Results

223.0ms	8000×	body	80	valid
92.0ms	3415×	body	80	overflowed

Details

sample36.0ms

simplify5.0ms

prune3.0ms

localize5.0ms

rewrite11.0ms

series16.0ms

simplify88.0ms

prune50.0ms

localize8.0ms

rewrite23.0ms

series33.0ms

simplify86.0ms

prune77.0ms

localize8.0ms

rewrite50.0ms

series41.0ms

simplify59.0ms

prune145.0ms

localize5.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes172.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample601.0ms

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