Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	116×	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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.8b	(/ (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)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

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

prune52.0ms

Filtered

51 candidates to 37 candidates (27.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.5b

Counts

52 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
1.2b	(- a (log (+ (exp a) (exp b))))
5.4b	(log (+ (exp a) (exp b)))

rewrite21.0ms

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:

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

series38.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(exp (- a (log (+ (exp a) (exp b)))))
8.0ms	(+ (exp a) (exp b))
9.0ms	(- a (log (+ (exp a) (exp b))))
10.0ms	(log (+ (exp a) (exp b)))

simplify89.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (83.0ms)

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

prune79.0ms

Filtered

80 candidates to 55 candidates (31.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Merged error: 0.5b

Counts

84 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
0.5b	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
0.7b	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
4.8b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
55×	`times-frac`
37×	`add-sqr-sqrt`
35×	`distribute-lft-out`
33×	`associate-l`
32×	`add-cube-cbrt`
28×	`unpow-prod-down` `cube-prod`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-exp-log` `associate-/r*`
7×	`sum-cubes`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`associate-/r/`
3×	`associate-r` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `sub-neg` `associate-+r+` `diff-log` `associate-*r/` `div-exp` `prod-exp` `sum-log` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `flip3--` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`

Counts

4 → 139

Calls

4 calls:

11.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
28.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
16.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
6.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
51.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
25.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
11.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify91.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	634	2252
1	3524	2010
2	5002	1998

prune211.0ms

Filtered

151 candidates to 97 candidates (35.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	150	5	155

Merged error: 0.5b

Counts

155 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
0.5b	(* (exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3))))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
4.8b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))
5.4b	(log (+ (pow (exp a) 3) (pow (exp b) 3)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
11×	`add-log-exp`
9×	`add-sqr-sqrt` `log-prod`
7×	`pow1` `add-cube-cbrt` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+` `distribute-lft-out`
4×	`unpow-prod-down` `log-div` `cube-prod` `exp-sum`
3×	`sub-neg` `exp-diff` `associate-r`
2×	`frac-times` `associate-+r+` `diff-log` `associate-*r/` `sum-log` `associate--r-`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `flip3--` `distribute-rgt-out--` `distribute-lft-in` `rem-log-exp` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `sum-cubes` `-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

12.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
19.0ms	(* (exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3))))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
6.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))
12.0ms	(log (+ (pow (exp a) 3) (pow (exp b) 3)))

series93.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
47.0ms	(* (exp (- a (log (+ (pow (exp a) 3) (pow (exp b) 3))))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
11.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))
20.0ms	(log (+ (pow (exp a) 3) (pow (exp b) 3)))

simplify65.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	462	1375
1	2221	1156
2	5003	1150

prune167.0ms

Filtered

89 candidates to 67 candidates (24.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	89	5	94

Merged error: 0.5b

Counts

94 → 5

regimes171.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample577.0ms

Algorithm

intervals

Results

220.0ms	8000×	body	80	valid
86.0ms	3297×	body	80	overflowed

Details

sample26.0ms

simplify4.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series17.0ms

simplify92.0ms

prune52.0ms

localize9.0ms

rewrite21.0ms

series38.0ms

simplify89.0ms

prune79.0ms

localize15.0ms

rewrite67.0ms

series103.0ms

simplify91.0ms

prune211.0ms

localize22.0ms

rewrite51.0ms

series93.0ms

simplify65.0ms

prune167.0ms

regimes171.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample577.0ms

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