Details

sample52.0ms

Algorithm

intervals

Results

36.0ms	107×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.8b	(/ (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)))

series52.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
34.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify90.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	163	384
1	486	357
2	1239	355
3	4158	355
4	5001	355

prune106.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (exp a) (+ (exp a) (exp b))))
0.0b	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
0.0b	(+ (exp a) (exp b))
0.8b	(/ (exp a) (+ (exp a) (exp b)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
11×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/r/` `add-cbrt-cube`
5×	`pow1` `add-exp-log`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`log-prod` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `rem-exp-log`

Counts

4 → 101

Calls

4 calls:

17.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
20.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
9.0ms	(/ (exp a) (+ (exp a) (exp b)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
34.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
17.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify103.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	237	834
1	612	771
2	1400	764
3	4554	762
4	5001	762

prune273.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (exp a))
0.0b	(/ 1 (+ (exp a) (exp b)))
0.5b	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
18×	`pow-unpow`
8×	`add-exp-log` `distribute-lft-out`
7×	`add-log-exp`
6×	`pow1` `exp-prod` `add-cbrt-cube`
4×	`pow-pow` `associate-/r*` `associate-/r/`
3×	`unpow-prod-down` `flip3-+` `flip-+` `associate-/l*`
2×	`div-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `pow-exp` `clear-num` `sum-log` `rem-exp-log` `inv-pow` `sqr-pow`

Counts

4 → 95

Calls

4 calls:

4.0ms	(+ (exp a) (exp b))
1.0ms	(exp (exp a))
8.0ms	(/ 1 (+ (exp a) (exp b)))
7.0ms	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

series136.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp a) (exp b))
27.0ms	(exp (exp a))
23.0ms	(/ 1 (+ (exp a) (exp b)))
68.0ms	(pow (exp (exp a)) (/ 1 (+ (exp a) (exp b))))

simplify117.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	326	721
1	1196	657
2	4710	620
3	5002	620

prune241.0ms

Filtered

107 candidates to 66 candidates (61.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (* (exp 1/2) (- (+ (* 1/4 a) 1) (* 1/4 b))))
0.1b	(* (exp 1/2) (- (+ (* 1/4 a) 1) (* 1/4 b)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
6×	`add-sqr-sqrt`
5×	`add-exp-log`
4×	`add-cube-cbrt` `-un-lft-identity` `associate-r/` `add-cbrt-cube`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
2×	`sub-neg` `log-div` `flip3--` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `flip--` `add-log-exp`
1×	`log-prod` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

19.0ms	(log (* (exp 1/2) (- (+ (* 1/4 a) 1) (* 1/4 b))))
42.0ms	(* (exp 1/2) (- (+ (* 1/4 a) 1) (* 1/4 b)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(log (* (exp 1/2) (- (+ (* 1/4 a) 1) (* 1/4 b))))
52.0ms	(* (exp 1/2) (- (+ (* 1/4 a) 1) (* 1/4 b)))

simplify41.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	254	412
1	1073	357
2	5001	357

prune85.0ms

Filtered

46 candidates to 30 candidates (65.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	3486×	body	10240	exit
192.0ms	8000×	body	80	valid