Details

sample57.0ms

Algorithm

intervals

Results

41.0ms	111×	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

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.7b	(/ (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:

19.0ms	(+ (exp a) (exp b))
33.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify96.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (35.0ms)

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

prune138.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- a (log (+ (exp a) (exp b))))
0.0b	(+ (exp a) (exp b))
2.9b	(log (+ (exp a) (exp b)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

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

series89.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- a (log (+ (exp a) (exp b))))
19.0ms	(+ (exp a) (exp b))
38.0ms	(log (+ (exp a) (exp b)))

simplify70.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	239	776
1	611	565
2	2217	556
3	5001	449

prune193.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (exp a) (exp b))
0.7b	(/ (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)))))
2.6b	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 153

Calls

4 calls:

8.0ms	(* (exp a) (exp b))
29.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
161.0ms	(* (/ (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)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (exp a) (exp b))
64.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
143.0ms	(* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))))
48.0ms	(- (* (exp b) (exp b)) (* (exp a) (exp b)))

simplify100.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	684	2183
1	3843	1943
2	5001	1937

prune510.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (exp (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))) (fma (exp b) (- (exp b) (exp a)) (pow (exp a) 2)))
0.3b	(log (pow (exp (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))) (fma (exp b) (- (exp b) (exp a)) (pow (exp a) 2))))
0.7b	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
2.4b	(- (exp b) (exp a))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

114×	`*-un-lft-identity`
54×	`times-frac`
44×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
35×	`distribute-lft-out`
34×	`unpow-prod-down` `pow-pow`
33×	`exp-prod`
28×	`cube-prod`
9×	`prod-diff` `associate-/r*`
8×	`log-prod`
7×	`sum-cubes`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`pow-unpow` `fma-neg` `rem-log-exp` `associate-/l*`
2×	`unpow-prod-up` `pow-to-exp` `flip3-+` `pow-exp` `flip-+` `fma-udef` `div-inv` `sqr-pow`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 157

Calls

4 calls:

81.0ms	(pow (exp (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))) (fma (exp b) (- (exp b) (exp a)) (pow (exp a) 2)))
32.0ms	(log (pow (exp (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))) (fma (exp b) (- (exp b) (exp a)) (pow (exp a) 2))))
33.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
6.0ms	(- (exp b) (exp a))

series471.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(pow (exp (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))) (fma (exp b) (- (exp b) (exp a)) (pow (exp a) 2)))
196.0ms	(log (pow (exp (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))) (fma (exp b) (- (exp b) (exp a)) (pow (exp a) 2))))
66.0ms	(/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3)))
24.0ms	(- (exp b) (exp a))

simplify86.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	508	2399
1	2566	2168
2	5002	2159

prune702.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

regimes81.0ms

Accuracy

0% (0.4b remaining)

Error of 0.9b against oracle of 0.5b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	17	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3481×	body	10240	exit
186.0ms	8000×	body	80	valid