Details

sample48.0ms

Algorithm

intervals

Results

31.0ms	92×	body	10240	exit
8.0ms	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

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: 0.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

series49.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ (exp a) (exp b))
31.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify91.0ms

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

prune90.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Merged error: 0.2b

Counts

52 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
12×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`flip3-+` `associate-l` `flip-+` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 90

Calls

3 calls:

4.0ms	(+ (exp a) (exp b))
6.0ms	(/ 1 (+ (exp a) (exp b)))
12.0ms	(* (exp a) (/ 1 (+ (exp a) (exp b))))

series77.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (exp a) (exp b))
23.0ms	(/ 1 (+ (exp a) (exp b)))
36.0ms	(* (exp a) (/ 1 (+ (exp a) (exp b))))

simplify67.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	279	673
1	1159	593
2	3644	553
3	5001	552

prune150.0ms

Filtered

99 candidates to 56 candidates (56.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0.2b

Counts

104 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

7.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
4.0ms	(+ (exp a) (exp b))
8.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
7.0ms	(/ (exp a) (+ (exp a) (exp b)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(exp (/ (exp a) (+ (exp a) (exp b))))
18.0ms	(+ (exp a) (exp b))
36.0ms	(log (exp (/ (exp a) (+ (exp a) (exp b)))))
32.0ms	(/ (exp a) (+ (exp a) (exp b)))

simplify101.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (36.0ms)

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

prune219.0ms

Filtered

113 candidates to 80 candidates (70.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	113	5	118

Merged error: 0.2b

Counts

118 → 5

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)))

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (13.0ms)

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

prune65.0ms

Filtered

40 candidates to 26 candidates (65.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	40	5	45

Merged error: 0.2b

Counts

45 → 5

regimes110.0ms

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	7	5
1	7	5

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s	3537×	body	10240	exit
392.0ms	8000×	body	80	valid