Details

sample76.0ms

Algorithm

intervals

Results

50.0ms	285×	body	10240	exit
6.0ms	201×	body	80	valid
3.0ms	27×	body	320	valid
2.0ms	13×	body	640	valid
1.0ms	19×	body	160	valid

simplify47.0ms

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: 13.5b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
0.0b	(/ wj (+ wj 1))
5.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

231×	`*-un-lft-identity`
175×	`times-frac`
129×	`add-sqr-sqrt`
124×	`add-cube-cbrt`
72×	`prod-diff`
52×	`distribute-lft-out`
24×	`associate-/l*`
20×	`associate-/r/`
13×	`add-cbrt-cube`
11×	`add-exp-log` `flip3-+` `associate-/r*` `flip-+` `div-inv`
9×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
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 → 260

Calls

4 calls:

9.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
5.0ms	(/ wj (+ wj 1))
31.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (/ x (+ wj 1)) (exp wj))
25.0ms	(/ x (+ wj 1))
21.0ms	(/ wj (+ wj 1))
51.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ wj (+ wj 1)))

simplify130.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	1015	4090
1	4555	3249
2	5001	3243

prune514.0ms

Filtered

272 candidates to 165 candidates (60.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	266	6	272
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	268	6	274

Merged error: 0.4b

Counts

274 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2 (* wj x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* 2 (* wj x))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* 2 (* wj x))

simplify78.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	88	77
1	320	62
2	1237	62
3	3448	62
4	5001	62

prune48.0ms

Filtered

23 candidates to 13 candidates (56.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Merged error: 0.4b

Counts

29 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (fma wj wj (- 1 wj)) wj) (+ (pow wj 3) 1))
0.0b	(/ (/ x (+ wj 1)) (exp wj))
0.0b	(/ x (+ wj 1))
5.0b	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ (* (fma wj wj (- 1 wj)) wj) (+ (pow wj 3) 1)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity`
134×	`times-frac`
87×	`add-sqr-sqrt`
85×	`add-cube-cbrt`
40×	`prod-diff`
34×	`distribute-lft-out`
22×	`associate-/l*`
20×	`associate-/r/`
16×	`add-cbrt-cube`
14×	`add-exp-log`
11×	`flip3-+` `associate-/r*` `flip-+` `div-inv`
9×	`add-log-exp`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`diff-log` `frac-sub` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `prod-exp` `associate--l+` `sum-log` `flip--` `cbrt-unprod` `associate-/l/` `difference-of-squares`

Counts

4 → 219

Calls

4 calls:

9.0ms	(/ (* (fma wj wj (- 1 wj)) wj) (+ (pow wj 3) 1))
12.0ms	(/ (/ x (+ wj 1)) (exp wj))
5.0ms	(/ x (+ wj 1))
31.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ (* (fma wj wj (- 1 wj)) wj) (+ (pow wj 3) 1)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ (* (fma wj wj (- 1 wj)) wj) (+ (pow wj 3) 1))
42.0ms	(/ (/ x (+ wj 1)) (exp wj))
21.0ms	(/ x (+ wj 1))
93.0ms	(- (+ (/ (/ x (+ wj 1)) (exp wj)) wj) (/ (* (fma wj wj (- 1 wj)) wj) (+ (pow wj 3) 1)))

simplify64.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1006	3602
1	5001	2885

prune773.0ms

Filtered

231 candidates to 152 candidates (65.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	227	4	231
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	231	6	237

Merged error: 0.4b

Counts

237 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma wj wj (- 1 wj)) wj)
0.0b	(* (/ x (- (* wj wj) 1)) (- wj 1))
0.0b	(/ (* (/ x (- (* wj wj) 1)) (- wj 1)) (exp wj))
5.0b	(- (+ (/ (* (/ x (- (* wj wj) 1)) (- wj 1)) (exp wj)) wj) (/ (* (fma wj wj (- 1 wj)) wj) (+ (pow wj 3) 1)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
58×	`prod-diff`
50×	`add-cube-cbrt`
38×	`times-frac`
27×	`associate-l`
20×	`add-cbrt-cube`
17×	`add-exp-log`
16×	`distribute-lft-out`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-r` `associate-/r/`
9×	`add-log-exp` `difference-of-squares`
8×	`pow1`
6×	`flip3--` `flip--` `div-inv`
5×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/`
4×	`expm1-log1p-u` `frac-times` `fma-neg` `difference-of-sqr-1` `associate-*r/` `log1p-expm1-u`
3×	`sub-neg` `associate-/r*` `distribute-lft-out--` `unswap-sqr`
2×	`diff-log` `pow-prod-down` `associate-l/` `-commutative` `frac-sub`
1×	`frac-2neg` `associate--l+` `clear-num` `sum-log` `associate-/l*`

Counts

4 → 190

Calls

4 calls:

3.0ms	(* (fma wj wj (- 1 wj)) wj)
21.0ms	(* (/ x (- (* wj wj) 1)) (- wj 1))
15.0ms	(/ (* (/ x (- (* wj wj) 1)) (- wj 1)) (exp wj))
26.0ms	(- (+ (/ (* (/ x (- (* wj wj) 1)) (- wj 1)) (exp wj)) wj) (/ (* (fma wj wj (- 1 wj)) wj) (+ (pow wj 3) 1)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (fma wj wj (- 1 wj)) wj)
52.0ms	(* (/ x (- (* wj wj) 1)) (- wj 1))
69.0ms	(/ (* (/ x (- (* wj wj) 1)) (- wj 1)) (exp wj))
156.0ms	(- (+ (/ (* (/ x (- (* wj wj) 1)) (- wj 1)) (exp wj)) wj) (/ (* (fma wj wj (- 1 wj)) wj) (+ (pow wj 3) 1)))

simplify59.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1070	3782
1	5002	2928

prune611.0ms

Filtered

202 candidates to 118 candidates (58.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	198	4	202
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	203	5	208

Merged error: 0.4b

Counts

208 → 5

regimes81.0ms

Accuracy

66.2% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 2.0b

bsearch39.0ms

Steps

Iters	Range		Point
6	3.695394219707434e-09	1.8310444829011e-08	4.906835481587709e-09

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	39
1	58	39

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s	7437×	body	10240	exit
193.0ms	6263×	body	80	valid
75.0ms	493×	body	640	valid
75.0ms	787×	body	320	valid
34.0ms	541×	body	160	valid