Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	21×	body	10240	exit
1.0ms	67×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (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)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
35.0ms	(/ (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	1239	355
3	4158	355
4	5001	355

prune111.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.7b	(- a (log (+ (exp a) (exp b))))
1.9b	(log (+ (exp a) (exp b)))

rewrite27.0ms

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

series128.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp a) (exp b))
45.0ms	(exp (- a (log (+ (exp a) (exp b)))))
34.0ms	(- a (log (+ (exp a) (exp b))))
32.0ms	(log (+ (exp a) (exp b)))

simplify84.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (79.0ms)

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

prune177.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
0.5b	(log (/ (exp a) (+ (exp a) (exp b))))
1.0b	(/ (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:

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

series127.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (exp a) (exp b))
33.0ms	(exp (log (/ (exp a) (+ (exp a) (exp b)))))
46.0ms	(log (/ (exp a) (+ (exp a) (exp b))))
30.0ms	(/ (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

prune300.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

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

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes91.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample536.0ms

Algorithm

intervals

Results

184.0ms	8000×	body	80	valid
106.0ms	690×	body	10240	exit
59.0ms	2767×	body	80	overflowed