Details

sample56.0ms

Algorithm

intervals

Results

40.0ms	106×	body	10240	exit
6.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.2b	(/ (exp a) (+ (exp a) (exp b)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/l*`
2×	`pow1` `expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

8.0ms	(+ (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))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify96.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	171	405
1	513	376
2	1324	374
3	4489	373
4	5001	373

prune140.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.9b

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))
1.0b	(- a (log (+ (exp a) (exp b))))
3.1b	(log (+ (exp a) (exp b)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
24×	`prod-diff`
23×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1`
9×	`log-pow` `add-log-exp`
8×	`log-prod`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`fma-def` `fma-neg` `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 → 106

Calls

4 calls:

6.0ms	(exp (- a (log (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
8.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(exp (- a (log (+ (exp a) (exp b)))))
18.0ms	(+ (exp a) (exp b))
32.0ms	(- a (log (+ (exp a) (exp b))))
38.0ms	(log (+ (exp a) (exp b)))

simplify83.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	308	1330
1	791	946
2	2960	789
3	5001	691

prune251.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp a))
0.0b	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
1.0b	(- a (log (fma (sqrt (exp a)) (sqrt (exp a)) (exp b))))
3.1b	(log (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1`
6×	`log-prod`
5×	`add-exp-log` `log-pow` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `log1p-expm1-u`
3×	`exp-prod` `fma-neg` `sqrt-prod` `associate--r+`
2×	`distribute-lft-out--`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `pow1/2` `diff-log` `rem-log-exp` `flip--` `fma-udef` `difference-of-squares`

Counts

4 → 77

Calls

4 calls:

2.0ms	(sqrt (exp a))
1.0ms	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
5.0ms	(- a (log (fma (sqrt (exp a)) (sqrt (exp a)) (exp b))))
2.0ms	(log (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (exp a))
37.0ms	(fma (sqrt (exp a)) (sqrt (exp a)) (exp b))
54.0ms	(- a (log (fma (sqrt (exp a)) (sqrt (exp a)) (exp b))))
53.0ms	(log (fma (sqrt (exp a)) (sqrt (exp a)) (exp b)))

simplify77.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	211	1062
1	548	643
2	2501	630
3	5001	508

prune244.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ (exp a) (fma (- (exp b)) (exp b) (exp (+ a a)))) (- (exp a) (exp b)))
1.2b	(/ (exp a) (fma (- (exp b)) (exp b) (exp (+ a a))))
3.8b	(fma (- (exp b)) (exp b) (exp (+ a a)))
3.8b	(- (exp a) (exp b))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
39×	`add-cube-cbrt`
27×	`prod-diff`
19×	`times-frac`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
9×	`add-exp-log`
6×	`pow1` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `fma-neg` `associate-/r` `flip--` `associate-/l`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef`

Counts

4 → 129

Calls

4 calls:

14.0ms	(* (/ (exp a) (fma (- (exp b)) (exp b) (exp (+ a a)))) (- (exp a) (exp b)))
4.0ms	(/ (exp a) (fma (- (exp b)) (exp b) (exp (+ a a))))
1.0ms	(fma (- (exp b)) (exp b) (exp (+ a a)))
5.0ms	(- (exp a) (exp b))

series280.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (/ (exp a) (fma (- (exp b)) (exp b) (exp (+ a a)))) (- (exp a) (exp b)))
82.0ms	(/ (exp a) (fma (- (exp b)) (exp b) (exp (+ a a))))
45.0ms	(fma (- (exp b)) (exp b) (exp (+ a a)))
24.0ms	(- (exp a) (exp b))

simplify61.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	492	2193
1	2084	1777
2	5003	1731

prune358.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.9b

regimes50.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3431×	body	10240	exit
199.0ms	8000×	body	80	valid