Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	90×	body	80	overflowed

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: 0.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite12.0ms

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

series49.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify92.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

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

prune101.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	5	52

Merged error: 0b

Counts

52 → 5

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)))))
0.5b	(- a (log (+ (exp a) (exp b))))
2.1b	(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))))
5.0ms	(log (+ (exp a) (exp b)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp a) (exp b))
50.0ms	(exp (- a (log (+ (exp a) (exp b)))))
32.0ms	(- a (log (+ (exp a) (exp b))))
37.0ms	(log (+ (exp a) (exp b)))

simplify90.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (84.0ms)

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

prune154.0ms

Filtered

80 candidates to 55 candidates (68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Merged error: 0b

Counts

85 → 5

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
60×	`times-frac`
47×	`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×	`associate-/r*`
3×	`pow-unpow` `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 → 153

Calls

4 calls:

4.0ms	(+ (exp b) (exp a))
12.0ms	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
9.0ms	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
7.0ms	(/ (exp a) (+ (exp b) (exp a)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp b) (exp a))
55.0ms	(pow (/ (exp a) (+ (exp b) (exp a))) 3)
32.0ms	(cbrt (pow (/ (exp a) (+ (exp b) (exp a))) 3))
32.0ms	(/ (exp a) (+ (exp b) (exp a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	433	1586
1	1879	1472
2	5001	1455

prune226.0ms

Filtered

165 candidates to 82 candidates (49.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	165	5	170

Merged error: 0b

Counts

170 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ (exp a) (exp b)))
0.3b	(cbrt (+ (exp a) (exp b)))
0.5b	(/ (/ (exp a) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (cbrt (+ (exp a) (exp b))))
0.8b	(/ (exp a) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
114×	`cbrt-div`
92×	`*-un-lft-identity`
74×	`associate-/r/`
72×	`cbrt-prod`
57×	`flip3-+` `flip-+`
56×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`frac-times`
18×	`associate-r/` `associate-l/` `distribute-lft-out` `associate-/l*`
14×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`div-inv`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
2×	`frac-2neg` `pow1/3` `prod-exp` `clear-num` `cbrt-unprod`
1×	`associate-/l/`

Counts

4 → 203

Calls

4 calls:

4.0ms	(cbrt (+ (exp a) (exp b)))
4.0ms	(cbrt (+ (exp a) (exp b)))
22.0ms	(/ (/ (exp a) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (cbrt (+ (exp a) (exp b))))
14.0ms	(/ (exp a) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt (+ (exp a) (exp b)))
60.0ms	(cbrt (+ (exp a) (exp b)))
32.0ms	(/ (/ (exp a) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (cbrt (+ (exp a) (exp b))))
125.0ms	(/ (exp a) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	686	4986
1	2517	4572
2	5001	4484

prune461.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	215	5	220

Merged error: 0b

Counts

220 → 5

regimes91.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample483.0ms

Algorithm

intervals

Results

209.0ms	8000×	body	80	valid
91.0ms	3492×	body	80	overflowed

Details

sample17.0ms

simplify4.0ms

prune2.0ms

localize8.0ms

rewrite12.0ms

series49.0ms

simplify92.0ms

prune101.0ms

localize8.0ms

rewrite23.0ms

series137.0ms

simplify90.0ms

prune154.0ms

localize8.0ms

rewrite39.0ms

series137.0ms

simplify59.0ms

prune226.0ms

localize9.0ms

rewrite57.0ms

series278.0ms

simplify82.0ms

prune461.0ms

regimes91.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample483.0ms

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