Details

sample120.0ms

Algorithm

intervals

Results

67.0ms	119×	body	1280	valid
22.0ms	74×	body	640	valid
9.0ms	262×	body	80	nan
7.0ms	39×	body	320	valid
2.0ms	16×	body	160	valid
0.0ms	8×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

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: 58.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

10.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
6.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
119.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify131.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	339	657
1	1040	625
2	4497	607
3	5001	607

prune144.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Merged error: 0.1b

Counts

90 → 5

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-log-exp`
4×	`difference-of-squares`
2×	`diff-log` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `unpow-prod-down` `flip3--` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out` `associate--r+` `unpow2` `sqr-pow`

Counts

1 → 20

Calls

1 calls:

28.0ms

(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify54.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	123	209
1	382	192
2	1701	192
3	5001	192

prune51.0ms

Filtered

23 candidates to 14 candidates (60.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Merged error: 0.1b

Counts

28 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
0.0b	(+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps)
0.0b	(- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.2b	(* (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps) (- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`pow1` `add-cube-cbrt`
6×	`add-exp-log` `associate-r` `sqrt-prod` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`frac-times` `flip3--` `associate-l` `flip--` `difference-of-squares`
3×	`sub-neg` `distribute-lft-out`
2×	`distribute-rgt-in` `distribute-lft-in` `sqrt-div` `associate-r/` `associate-l/` `distribute-lft-out--`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

22.0ms	(sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
23.0ms	(+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps)
23.0ms	(- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
53.0ms	(* (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps) (- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))

series1.3s

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))
74.0ms	(+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps)
86.0ms	(- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
1.1s	(* (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps) (- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	381	1156
1	1663	1018
2	5001	999

prune428.0ms

Filtered

89 candidates to 69 candidates (77.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	89	7	96

Merged error: 0.1b

Counts

96 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps)
0.0b	(- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
0.2b	(* (exp (log (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps))) (- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
2.6b	(exp (log (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
9×	`add-cube-cbrt` `log-prod` `exp-sum`
8×	`log-div` `exp-diff` `add-log-exp`
7×	`pow1` `associate-l`
6×	`associate-r` `add-cbrt-cube`
5×	`add-exp-log` `flip3-+` `flip-+`
4×	`frac-times` `exp-prod` `flip3--` `flip--` `difference-of-squares`
3×	`sub-neg` `distribute-lft-out`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `sqrt-prod` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 83

Calls

4 calls:

26.0ms	(+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps)
23.0ms	(- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
53.0ms	(* (exp (log (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps))) (- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
26.0ms	(exp (log (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps)))

series1.3s

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps)
85.0ms	(- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)))
1.1s	(* (exp (log (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps))) (- eps (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps))))
71.0ms	(exp (log (+ (sqrt (+ (/ (pow eps 2) (pow 1.0 2)) eps)) eps)))

simplify50.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	366	1298
1	1509	1139
2	5001	1105

prune259.0ms

Filtered

95 candidates to 73 candidates (76.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	94	8	102

Merged error: 0.1b

Counts

102 → 8

regimes31.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s	3320×	body	1280	valid
642.0ms	2566×	body	640	valid
228.0ms	8094×	body	80	nan
186.0ms	1233×	body	320	valid
60.0ms	663×	body	160	valid
9.0ms	218×	body	80	valid

Details

sample120.0ms

simplify6.0ms

prune2.0ms

localize5.0ms

rewrite20.0ms

series156.0ms

simplify131.0ms

prune144.0ms

localize10.0ms

rewrite29.0ms

series95.0ms

simplify54.0ms

prune51.0ms

localize13.0ms

rewrite123.0ms

series1.3s

simplify52.0ms

prune428.0ms

localize19.0ms

rewrite131.0ms

series1.3s

simplify50.0ms

prune259.0ms

regimes31.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

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