Details

sample52.0ms

Algorithm

intervals

Results

36.0ms	103×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (exp a) (exp b))
34.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify86.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	163	384
1	486	357
2	1239	355
3	4158	355
4	5001	355

prune144.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.5b	(- a (log (+ (exp a) (exp b))))
2.4b	(log (+ (exp a) (exp b)))

rewrite26.0ms

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:

9.0ms	(exp (- a (log (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
6.0ms	(- a (log (+ (exp a) (exp b))))
6.0ms	(log (+ (exp a) (exp b)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(exp (- a (log (+ (exp a) (exp b)))))
18.0ms	(+ (exp a) (exp b))
34.0ms	(- a (log (+ (exp a) (exp b))))
32.0ms	(log (+ (exp a) (exp b)))

simplify92.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (85.0ms)

Iter	Nodes	Cost
0	233	551
1	543	509
2	1225	495
3	4110	491
4	5001	489

prune197.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.5b	(log (/ (exp a) (+ (exp a) (exp b))))
0.8b	(/ (exp a) (+ (exp a) (exp b)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

8.0ms	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
5.0ms	(log (/ (exp a) (+ (exp a) (exp b))))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series129.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
20.0ms	(+ (exp a) (exp b))
47.0ms	(log (/ (exp a) (+ (exp a) (exp b))))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify51.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	285	1040
1	822	980
2	2144	944
3	5001	917

prune279.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.5b	(- a (+ (log (sqrt (+ (exp a) (exp b)))) (log (sqrt (+ (exp a) (exp b))))))
2.4b	(log (sqrt (+ (exp a) (exp b))))
2.4b	(log (sqrt (+ (exp a) (exp b))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

4.0ms	(+ (exp a) (exp b))
21.0ms	(- a (+ (log (sqrt (+ (exp a) (exp b)))) (log (sqrt (+ (exp a) (exp b))))))
4.0ms	(log (sqrt (+ (exp a) (exp b))))
4.0ms	(log (sqrt (+ (exp a) (exp b))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (exp a) (exp b))
58.0ms	(- a (+ (log (sqrt (+ (exp a) (exp b)))) (log (sqrt (+ (exp a) (exp b))))))
52.0ms	(log (sqrt (+ (exp a) (exp b))))
54.0ms	(log (sqrt (+ (exp a) (exp b))))

simplify58.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	241	864
1	670	763
2	1955	758
3	5002	744

prune254.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

regimes90.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3369×	body	10240	exit
203.0ms	8000×	body	80	valid