Details

sample62.0ms

Algorithm

intervals

Results

28.0ms	128×	body	5120	exit
11.0ms	205×	body	80	valid
4.0ms	117×	body	80	overflowed
4.0ms	23×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	12×	body	160	valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	21	9
1	52	9
2	113	9
3	240	8
4	1625	8
5	5001	8

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 11.9b

Counts

2 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))
0.0b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
3.2b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
63×	`prod-diff`
61×	`times-frac`
13×	`distribute-rgt-out` `distribute-rgt1-in`
10×	`add-cbrt-cube`
8×	`pow1` `add-exp-log` `associate-/r/`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv`
3×	`fma-neg` `associate-/l*`
2×	`flip3--` `div-sub` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `distribute-lft-out--` `associate--r-`

Counts

4 → 166

Calls

4 calls:

5.0ms	(* wj (exp wj))
5.0ms	(* wj (exp wj))
9.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
14.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* wj (exp wj))
34.0ms	(* wj (exp wj))
39.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
57.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify107.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	791	4583
1	3014	3101
2	5002	2803

prune300.0ms

Filtered

178 candidates to 103 candidates (57.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	177	3	180

Merged error: 0.1b

Counts

180 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `flip--`

Counts

2 → 40

Calls

2 calls:

3.0ms	(- x (* 2 (* wj x)))
5.0ms	(* 2 (* wj x))

series66.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- x (* 2 (* wj x)))
19.0ms	(* 2 (* wj x))

simplify113.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	166	199
1	587	177
2	3661	175
3	5002	158

prune65.0ms

Filtered

46 candidates to 29 candidates (63.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.1b

Counts

49 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
93×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
78×	`prod-diff`
13×	`div-inv`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
5×	`distribute-rgt-out` `distribute-rgt1-in` `associate-/r*` `associate-/r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `associate-r` `associate-l` `associate-/l*`
2×	`flip3-+` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 175

Calls

4 calls:

4.0ms	(+ (exp wj) (* wj (exp wj)))
5.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
5.0ms	(* wj (exp wj))
12.0ms	(- wj (/ wj (/ (* (+ wj 1) (exp wj)) (exp wj))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (exp wj) (* wj (exp wj)))
51.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
28.0ms	(* wj (exp wj))
26.0ms	(- wj (/ wj (/ (* (+ wj 1) (exp wj)) (exp wj))))

simplify142.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	980	4244
1	4351	2571
2	5001	2570

prune306.0ms

Filtered

187 candidates to 111 candidates (59.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	186	4	190

Merged error: 0.0b

Counts

190 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(/ x (+ (exp wj) (* wj (exp wj))))
0.0b	(* wj (exp wj))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
48×	`prod-diff`
42×	`add-cube-cbrt`
15×	`times-frac`
14×	`distribute-lft-out`
13×	`unpow-prod-down` `cube-prod`
11×	`add-log-exp`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`pow1`
5×	`distribute-rgt-out` `distribute-rgt1-in` `associate-/r*` `sqr-pow`
4×	`expm1-log1p-u` `cube-mult` `fma-neg` `unpow3` `log1p-expm1-u` `difference-of-squares`
3×	`fma-def` `associate-r` `associate-l` `associate-/l*`
2×	`flip3-+` `diff-log` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

14.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
4.0ms	(+ (exp wj) (* wj (exp wj)))
5.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
5.0ms	(* wj (exp wj))

series153.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (+ (pow wj 4) (pow wj 2)) (pow wj 3))
36.0ms	(+ (exp wj) (* wj (exp wj)))
53.0ms	(/ x (+ (exp wj) (* wj (exp wj))))
30.0ms	(* wj (exp wj))

simplify105.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	541	1578
1	2434	1206
2	5002	1179

prune514.0ms

Filtered

163 candidates to 95 candidates (58.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	163	4	167

Merged error: 0.0b

Counts

167 → 4

regimes39.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	17
1	21	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

854.0ms	3809×	body	5120	exit
233.0ms	6289×	body	80	valid
133.0ms	3722×	body	80	overflowed
98.0ms	793×	body	320	valid
85.0ms	474×	body	640	valid
42.0ms	522×	body	160	valid