Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
6.0ms	23×	body	10240	exit
5.0ms	97×	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: 1.5b

localize5.0ms

Local error

Found 1 expressions with local error:

1.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 35

Calls

1 calls:

9.0ms

(/ (exp a) (+ (exp a) (exp b)))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(/ (exp a) (+ (exp a) (exp b)))

simplify109.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	143	319
1	446	298
2	1221	297
3	4142	296
4	5001	296

prune86.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
1.3b	(- a (log (+ (exp a) (exp b))))
3.9b	(log (+ (exp a) (exp b)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`prod-diff`
21×	`add-cube-cbrt`
16×	`exp-sum`
12×	`pow1`
9×	`log-pow`
8×	`log-prod`
6×	`log-div` `exp-prod` `add-log-exp`
4×	`add-exp-log` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`expm1-log1p-u` `flip3-+` `fma-neg` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `rem-exp-log` `distribute-lft-out` `difference-of-squares`
1×	`flip3--` `exp-diff` `rem-log-exp` `flip--`

Counts

3 → 89

Calls

3 calls:

10.0ms	(exp (- a (log (+ (exp a) (exp b)))))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series110.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(exp (- a (log (+ (exp a) (exp b)))))
35.0ms	(- a (log (+ (exp a) (exp b))))
31.0ms	(log (+ (exp a) (exp b)))

simplify72.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	281	1244
1	687	868
2	2599	712
3	5002	580

prune186.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (- a (log (+ (exp a) (exp b)))) 3)
1.3b	(- a (log (+ (exp a) (exp b))))
3.9b	(log (+ (exp a) (exp b)))
16.1b	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
18×	`cbrt-prod`
14×	`pow1`
12×	`unpow-prod-down` `cube-prod` `prod-diff`
10×	`distribute-lft-out--`
9×	`log-pow`
8×	`log-prod`
6×	`add-exp-log`
5×	`add-cbrt-cube` `add-log-exp` `difference-of-squares`
4×	`cube-div` `expm1-log1p-u` `log-div` `log1p-expm1-u` `associate--r+`
3×	`pow-unpow` `flip3--` `fma-neg` `flip--`
2×	`cube-mult` `cbrt-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `associate--r-` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 119

Calls

4 calls:

5.0ms	(pow (- a (log (+ (exp a) (exp b)))) 3)
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))
6.0ms	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

series172.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(pow (- a (log (+ (exp a) (exp b)))) 3)
36.0ms	(- a (log (+ (exp a) (exp b))))
31.0ms	(log (+ (exp a) (exp b)))
44.0ms	(cbrt (pow (- a (log (+ (exp a) (exp b)))) 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	402	1354
1	1472	1110
2	5003	1097

prune311.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (+ (exp a) (exp b)))
1.5b	(* (exp a) (/ 1 (+ (exp a) (exp b))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
11×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 82

Calls

2 calls:

11.0ms	(/ 1 (+ (exp a) (exp b)))
23.0ms	(* (exp a) (/ 1 (+ (exp a) (exp b))))

series54.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ 1 (+ (exp a) (exp b)))
31.0ms	(* (exp a) (/ 1 (+ (exp a) (exp b))))

simplify60.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	264	620
1	1127	546
2	3632	506
3	5002	504

prune145.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes72.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample865.0ms

Algorithm

intervals

Results

383.0ms	8000×	body	80	valid
160.0ms	683×	body	10240	exit
130.0ms	2714×	body	80	overflowed