Details

sample68.0ms

Algorithm

intervals

Results

32.0ms	71×	body	1280	valid
13.0ms	50×	body	640	valid
8.0ms	24×	body	2560	valid
3.0ms	20×	body	320	valid
3.0ms	77×	body	80	valid
1.0ms	14×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	5
1	9	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: 53.5b

Counts

2 → 1

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) 1.0)
0.1b	(+ x (sqrt (+ (* x x) 1.0)))
3.5b	(log (+ x (sqrt (+ (* x x) 1.0))))
16.6b	(sqrt (+ (* x x) 1.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log`
4×	`log-prod` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`sqrt-prod`
2×	`+-commutative` `log-div` `sqrt-div` `sum-log` `distribute-lft-out`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `rem-log-exp` `log-pow`

Counts

4 → 53

Calls

4 calls:

4.0ms	(+ (* x x) 1.0)
5.0ms	(+ x (sqrt (+ (* x x) 1.0)))
6.0ms	(log (+ x (sqrt (+ (* x x) 1.0))))
4.0ms	(sqrt (+ (* x x) 1.0))

series301.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x x) 1.0)
57.0ms	(+ x (sqrt (+ (* x x) 1.0)))
166.0ms	(log (+ x (sqrt (+ (* x x) 1.0))))
46.0ms	(sqrt (+ (* x x) 1.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	333	450
1	1163	414
2	5001	398

prune162.0ms

Filtered

65 candidates to 53 candidates (81.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
0.2b	(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

240×	`times-frac`
220×	`associate-r`
182×	`add-sqr-sqrt`
140×	`unpow-prod-down` `cube-prod`
118×	`add-cube-cbrt` `*-un-lft-identity`
80×	`sqrt-prod`
40×	`sqr-pow`
30×	`cube-mult` `unpow3`
25×	`add-exp-log` `unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 286

Calls

2 calls:

12.0ms	(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
51.0ms	(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

series292.0ms

Counts

2 → 6

Calls

2 calls:

154.0ms	(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
138.0ms	(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

simplify122.0ms

Algorithm

egg-herbie

Counts

292 → 292

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	854	2137
1	4687	1743
2	5001	1743

prune351.0ms

Filtered

292 candidates to 111 candidates (38.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	292	7	299

Merged error: 0.0b

Counts

299 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
0.0b	(+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))))
0.1b	(/ 0.125 (pow x 3))
8.0b	(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
30×	`add-cube-cbrt`
18×	`add-log-exp`
13×	`unpow-prod-down` `cube-prod`
12×	`associate-/r*`
10×	`add-exp-log`
9×	`distribute-lft-out`
6×	`log-prod` `add-cbrt-cube` `distribute-lft-out--`
5×	`pow1` `sum-log` `difference-of-squares` `sqr-pow`
4×	`cube-mult` `diff-log` `unpow3`
3×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `associate-/l*`
2×	`sub-neg` `log-div` `associate--l+` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r-` `flip3--` `frac-2neg` `rem-log-exp` `pow-exp` `clear-num` `log-pow` `flip--` `div-inv`

Counts

4 → 125

Calls

4 calls:

17.0ms	(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
20.0ms	(+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))))
5.0ms	(/ 0.125 (pow x 3))
22.0ms	(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
42.0ms	(+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))))
38.0ms	(/ 0.125 (pow x 3))
148.0ms	(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	505	968
1	2345	912
2	5002	912

prune210.0ms

Filtered

137 candidates to 80 candidates (58.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	137	7	144

Merged error: 0.0b

Counts

144 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x)))
0.1b	(/ (/ 0.25 x) x)
0.2b	(/ 0.09375 (pow x 4))
5.4b	(- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
90×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
23×	`distribute-lft-out--`
16×	`associate-/l*`
14×	`add-exp-log`
13×	`add-log-exp`
12×	`unpow-prod-down`
11×	`pow1` `add-cbrt-cube`
10×	`associate-/r*`
9×	`diff-log`
7×	`associate--l+` `log-pow`
6×	`div-exp` `div-inv`
5×	`sub-neg`
4×	`cbrt-undiv` `associate--r+` `difference-of-squares` `sqr-pow`
3×	`log-prod` `flip3--` `flip--`
2×	`frac-2neg` `clear-num` `frac-sub`
1×	`associate--l-` `pow-to-exp` `pow-exp` `associate-/l/` `associate--r-`

Counts

4 → 170

Calls

4 calls:

37.0ms	(- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x)))
6.0ms	(/ (/ 0.25 x) x)
4.0ms	(/ 0.09375 (pow x 4))
34.0ms	(- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))

series224.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (log 2) (- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x)))
25.0ms	(/ (/ 0.25 x) x)
40.0ms	(/ 0.09375 (pow x 4))
63.0ms	(- (- (/ 0.09375 (pow x 4)) (log x)) (/ (/ 0.25 x) x))

simplify74.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	721	1389
1	2664	1284
2	5001	1281

prune370.0ms

Filtered

182 candidates to 118 candidates (64.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	182	7	189

Merged error: 0.0b

Counts

189 → 7

regimes85.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 32.0b

bsearch72.0ms

Steps

Iters	Range		Point
8	0.17152303280385153	144.2461487089888	0.8959083659258422
7	-2.746636760301741	-0.06221852409423964	-1.0067122684563858

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	27
1	41	27

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	2367×	body	1280	valid
428.0ms	1554×	body	640	valid
258.0ms	783×	body	2560	valid
131.0ms	788×	body	320	valid
88.0ms	2108×	body	80	valid
39.0ms	400×	body	160	valid

Details

sample68.0ms

simplify4.0ms

prune2.0ms

localize7.0ms

rewrite20.0ms

series301.0ms

simplify35.0ms

prune162.0ms

localize11.0ms

rewrite82.0ms

series292.0ms

simplify122.0ms

prune351.0ms

localize10.0ms

rewrite68.0ms

series267.0ms

simplify72.0ms

prune210.0ms

localize13.0ms

rewrite88.0ms

series224.0ms

simplify74.0ms

prune370.0ms

regimes85.0ms

bsearch72.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling