Details

sample54.0ms

Algorithm

intervals

Results

38.0ms	91×	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: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

4.0ms	(+ (exp a) (exp b))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify90.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (32.0ms)

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

prune153.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

18.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
20.0ms	(+ (exp a) (exp b))
30.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify95.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	222	651
1	574	601
2	1349	598
3	4661	596
4	5001	596

prune233.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
0.5b	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
0.7b	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
4.2b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
55×	`times-frac`
37×	`add-sqr-sqrt`
35×	`distribute-lft-out`
33×	`associate-l`
32×	`add-cube-cbrt`
28×	`unpow-prod-down` `cube-prod`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-exp-log` `associate-/r*`
7×	`sum-cubes`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`associate-+r+` `associate-r` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `sub-neg` `diff-log` `associate-*r/` `div-exp` `prod-diff` `prod-exp` `sum-log` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `flip3--` `distribute-rgt-out--` `fma-def` `frac-2neg` `distribute-lft-in` `fma-neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`

Counts

4 → 151

Calls

4 calls:

23.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
31.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
162.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
7.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))
58.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
134.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
38.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify103.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	668	2369
1	3737	2084
2	5001	2063

prune468.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes85.0ms

Accuracy

0% (0.2b remaining)

Error of 0.8b against oracle of 0.6b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3417×	body	10240	exit
196.0ms	8000×	body	80	valid