Details

sample65.0ms

Algorithm

intervals

Results

24.0ms	118×	body	5120	exit
7.0ms	200×	body	80	valid
7.0ms	22×	body	320	valid
3.0ms	112×	body	80	overflowed
2.0ms	15×	body	640	valid
2.0ms	23×	body	160	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5002	8

prune12.0ms

Filtered

1 candidates to 1 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: 13.5b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ wj 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ wj (+ wj 1))
6.2b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
118×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
24×	`associate-/l*`
21×	`distribute-lft-out`
13×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`add-exp-log` `associate-/r*`
9×	`add-log-exp`
7×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate-/l/`

Counts

4 → 176

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
10.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ wj (+ wj 1))
34.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ wj 1))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
3.0ms	(/ wj (+ wj 1))
16.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify87.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	721	1524
1	3303	1471
2	5001	1471

prune1.8s

Filtered

188 candidates to 138 candidates (26.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	186	4	190

Merged error: 0.2b

Counts

190 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow wj 2))
0.0b	(- (+ x (pow wj 2)) (* 2 (* wj x)))
0.0b	(* 2 (* wj x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate--l+` `*-commutative` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 44

Calls

3 calls:

4.0ms	(+ x (pow wj 2))
7.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
5.0ms	(* 2 (* wj x))

series17.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ x (pow wj 2))
7.0ms	(- (+ x (pow wj 2)) (* 2 (* wj x)))
3.0ms	(* 2 (* wj x))

simplify131.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	202	250
1	789	230
2	4182	227
3	5001	227

prune114.0ms

Filtered

53 candidates to 32 candidates (39.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Merged error: 0.2b

Counts

57 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
0.6b	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

17.0ms	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
6.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
7.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
6.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

series174.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))) (cbrt (- (+ x (pow wj 2)) (* 2 (* wj x)))))
42.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
40.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))
43.0ms	(cbrt (- (+ x (pow wj 2)) (* 2 (* wj x))))

simplify56.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	331	1631
1	1186	1538
2	5001	1432

prune414.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	98	7	105

Merged error: 0.2b

Counts

105 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
0.3b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
6.2b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt`
16×	`times-frac`
10×	`add-cbrt-cube`
8×	`pow1` `add-exp-log`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`associate-/r*`
4×	`distribute-rgt-out` `distribute-rgt1-in`
3×	`associate-/l*`
2×	`flip3--` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out--` `associate--r-`

Counts

4 → 92

Calls

4 calls:

5.0ms	(* wj (exp wj))
5.0ms	(* wj (exp wj))
9.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
12.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* wj (exp wj))
3.0ms	(* wj (exp wj))
14.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
15.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify47.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	368	913
1	1407	859
2	5002	844

prune534.0ms

Filtered

104 candidates to 81 candidates (22.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0.2b

Counts

111 → 7

regimes199.0ms

Accuracy

41.9% (0.9b remaining)

Error of 1.5b against oracle of 0.7b and baseline of 2.2b

bsearch53.0ms

Steps

Iters	Range		Point
9	-0.0038973504402139516	-1.289397842534223e-10	-4.241712932752003e-09

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	3931×	body	5120	exit
215.0ms	6355×	body	80	valid
118.0ms	3846×	body	80	overflowed
78.0ms	719×	body	320	valid
76.0ms	443×	body	640	valid
39.0ms	562×	body	160	valid

Details

sample65.0ms

simplify51.0ms

prune12.0ms

localize10.0ms

rewrite61.0ms

series36.0ms

simplify87.0ms

prune1.8s

localize10.0ms

rewrite17.0ms

series17.0ms

simplify131.0ms

prune114.0ms

localize12.0ms

rewrite39.0ms

series174.0ms

simplify56.0ms

prune414.0ms

localize9.0ms

rewrite33.0ms

series36.0ms

simplify47.0ms

prune534.0ms

regimes199.0ms

bsearch53.0ms

simplify2.0ms

end0.0ms

sample2.0s

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