Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	120×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp a) (exp b))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite11.0ms

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))
6.0ms	(/ (exp a) (+ (exp a) (exp b)))

series51.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify88.0ms

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

prune86.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.2b

Counts

52 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp a) (exp b))
0.0b	(exp (- a (log (+ (exp a) (exp b)))))
1.1b	(- a (log (+ (exp a) (exp b))))
2.3b	(log (+ (exp a) (exp b)))

rewrite24.0ms

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:

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

series144.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (exp a) (exp b))
62.0ms	(exp (- a (log (+ (exp a) (exp b)))))
33.0ms	(- a (log (+ (exp a) (exp b))))
32.0ms	(log (+ (exp a) (exp b)))

simplify88.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 4 (82.0ms)

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

prune148.0ms

Filtered

80 candidates to 55 candidates (68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Merged error: 0.2b

Counts

84 → 4

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)))))
1.0b	(/ (exp a) (+ (exp a) (exp b)))
1.0b	(/ (exp a) (+ (exp a) (exp b)))

rewrite56.0ms

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:

5.0ms	(+ (exp a) (exp b))
25.0ms	(* (sqrt (/ (exp a) (+ (exp a) (exp b)))) (sqrt (/ (exp a) (+ (exp a) (exp b)))))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))
11.0ms	(/ (exp a) (+ (exp a) (exp b)))

series119.0ms

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)))))
36.0ms	(/ (exp a) (+ (exp a) (exp b)))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify70.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (48.0ms)

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

prune343.0ms

Filtered

198 candidates to 118 candidates (59.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	198	4	202

Merged error: 0.2b

Counts

202 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp a) (+ a (+ b 2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
15×	`times-frac`
12×	`distribute-lft-out`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`associate-/r*`
3×	`add-cbrt-cube` `associate-/l*`
2×	`add-exp-log` `associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 37

Calls

1 calls:

7.0ms

(/ (exp a) (+ a (+ b 2)))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(/ (exp a) (+ a (+ b 2)))

simplify44.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	149	274
1	476	256
2	1836	255
3	5002	255

prune50.0ms

Filtered

40 candidates to 25 candidates (62.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	40	4	44

Merged error: 0.2b

Counts

44 → 4

regimes85.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample572.0ms

Algorithm

intervals

Results

254.0ms	8000×	body	80	valid
105.0ms	3578×	body	80	overflowed