Details

sample56.0ms

Algorithm

intervals

Results

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

simplify3.0ms

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: 1.3b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series50.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (exp a) (exp b))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify87.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (11.0ms)

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

prune112.0ms

Pruning

3 alts after pruning (3 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)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`add-log-exp`
8×	`log-prod`
7×	`pow1` `add-cube-cbrt`
6×	`log-div` `exp-prod`
5×	`add-exp-log`
4×	`flip3-+` `exp-sum` `add-cbrt-cube` `flip-+` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`log-pow` `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 → 68

Calls

4 calls:

5.0ms	(exp (- a (log (+ (exp a) (exp b)))))
4.0ms	(+ (exp a) (exp b))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(exp (- a (log (+ (exp a) (exp b)))))
18.0ms	(+ (exp a) (exp b))
36.0ms	(- a (log (+ (exp a) (exp b))))
34.0ms	(log (+ (exp a) (exp b)))

simplify92.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (81.0ms)

Iter	Nodes	Cost
0	233	551
1	543	509
2	1225	495
3	4110	491
4	5001	489

prune184.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.4b	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
1.2b	(/ (exp a) (+ (exp a) (exp b)))
1.2b	(/ (exp a) (+ (exp a) (exp b)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

122×	`*-un-lft-identity`
98×	`sqrt-prod`
90×	`add-sqr-sqrt` `times-frac`
62×	`add-cube-cbrt`
29×	`swap-sqr`
27×	`distribute-lft-out`
21×	`associate-r` `associate-l`
19×	`pow1`
12×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `associate-/r*`
7×	`flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`pow-prod-up`
4×	`sqrt-div`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 186

Calls

4 calls:

4.0ms	(+ (exp a) (exp b))
28.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (exp a) (exp b))
32.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
38.0ms	(/ (exp a) (+ (exp a) (exp b)))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify64.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	326	1942
1	1516	1807
2	5002	1781

prune438.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(sqrt (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))))
1.2b	(/ (exp a) (+ (exp a) (exp b)))
1.6b	(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))
1.6b	(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

201×	`sqrt-prod`
148×	`*-un-lft-identity`
142×	`times-frac`
109×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
24×	`distribute-lft-out`
18×	`associate-/r*`
15×	`associate-/l*`
10×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-/r/`
7×	`sqrt-div`
5×	`pow1` `rem-sqrt-square`
4×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`sqrt-undiv`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 236

Calls

4 calls:

11.0ms	(sqrt (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))
9.0ms	(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))
9.0ms	(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))))
36.0ms	(/ (exp a) (+ (exp a) (exp b)))
55.0ms	(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))
61.0ms	(/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b))))

simplify54.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	375	3251
1	1159	3094
2	5001	2988

prune641.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.9b

regimes67.0ms

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	6
1	9	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3431×	body	10240	exit
196.0ms	8000×	body	80	valid