Details

sample65.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75%

Results

7.0ms	256×	body	80	valid
3.0ms	124×	body	80	overflowed

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (exp a) (exp b))
12.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify91.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

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

prune59.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

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

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))
0.8b	(- a (log (+ (exp a) (exp b))))
2.7b	(log (+ (exp a) (exp b)))

rewrite24.0ms

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))))
6.0ms	(log (+ (exp a) (exp b)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(exp (- a (log (+ (exp a) (exp b)))))
5.0ms	(+ (exp a) (exp b))
9.0ms	(- a (log (+ (exp a) (exp b))))
10.0ms	(log (+ (exp a) (exp b)))

simplify86.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (79.0ms)

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

prune87.0ms

Filtered

55 candidates to 80 candidates (-45.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Merged error: 0b

Counts

85 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
11×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/r/` `add-cbrt-cube`
5×	`pow1` `add-exp-log`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`log-prod` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

7.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
4.0ms	(+ (exp a) (exp b))
8.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
5.0ms	(+ (exp a) (exp b))
11.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
11.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify103.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	237	834
1	612	771
2	1400	764
3	4554	762
4	5001	762

prune111.0ms

Filtered

80 candidates to 113 candidates (-41.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (log (+ (exp a) (exp b))) 3)
0.4b	(cbrt (pow (log (+ (exp a) (exp b))) 3))
0.8b	(- a (cbrt (pow (log (+ (exp a) (exp b))) 3)))
2.7b	(log (+ (exp a) (exp b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`cbrt-prod`
15×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`pow1`
9×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`log-pow` `add-cbrt-cube` `difference-of-squares`
4×	`log-prod`
3×	`pow-unpow` `sqr-pow`
2×	`cube-mult` `log-div` `unpow3`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `flip3-+` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `flip--` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 81

Calls

4 calls:

3.0ms	(pow (log (+ (exp a) (exp b))) 3)
2.0ms	(cbrt (pow (log (+ (exp a) (exp b))) 3))
7.0ms	(- a (cbrt (pow (log (+ (exp a) (exp b))) 3)))
6.0ms	(log (+ (exp a) (exp b)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(pow (log (+ (exp a) (exp b))) 3)
9.0ms	(cbrt (pow (log (+ (exp a) (exp b))) 3))
9.0ms	(- a (cbrt (pow (log (+ (exp a) (exp b))) 3)))
9.0ms	(log (+ (exp a) (exp b)))

simplify171.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	264	746
1	842	686
2	4498	674
3	5001	674

prune88.0ms

Filtered

50 candidates to 93 candidates (-86.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0b

Counts

98 → 5

regimes213.0ms

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

sample639.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75%

Results

228.0ms	8000×	body	80	valid
96.0ms	3444×	body	80	overflowed

Details

sample65.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series18.0ms

simplify91.0ms

prune59.0ms

localize9.0ms

rewrite24.0ms

series36.0ms

simplify86.0ms

prune87.0ms

localize9.0ms

rewrite29.0ms

series42.0ms

simplify103.0ms

prune111.0ms

localize11.0ms

rewrite21.0ms

series43.0ms

simplify171.0ms

prune88.0ms

regimes213.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample639.0ms

Profiling