Details

analyze3.0ms

Algorithm: search

sample15.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	39	7
2	61	7
3	80	7
4	105	7
5	114	7
6	114	7

prune2.0ms

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: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.1b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

6.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(* 6.0 (- x 1.0))
10.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series15.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
3.0ms	(* 6.0 (- x 1.0))
8.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify52.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	492	549
1	2177	479
2	5002	478

prune104.0ms

Filtered

55 candidates to 73 candidates (-32.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0b

Counts

74 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `sum-log`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

3 → 154

Calls

3 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
9.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
12.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
8.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	822	2172
1	3767	2075
2	5001	2075

prune283.0ms

Filtered

129 candidates to 163 candidates (-26.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	163	4	167

Merged error: 0b

Counts

167 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.2b	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
0.2b	(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))))
0.3b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
387×	`add-sqr-sqrt`
282×	`*-un-lft-identity`
178×	`add-cube-cbrt`
152×	`sqrt-prod`
104×	`associate-r`
100×	`difference-of-squares`
50×	`distribute-lft-out--`
42×	`associate-/r*`
20×	`add-exp-log` `add-cbrt-cube`
18×	`associate-/r/`
10×	`div-inv`
9×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-/l*`
5×	`associate-l`
4×	`flip3-+` `flip-+`
3×	`prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 350

Calls

4 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
18.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
38.0ms	(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))))
12.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
19.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
37.0ms	(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))))
16.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

362 → 362

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1774	6501
1	5002	6277

prune824.0ms

Filtered

206 candidates to 362 candidates (-75.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	362	0	362
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	362	4	366

Merged error: 0b

Counts

366 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.2b	(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.2b	(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.3b	(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

124×	`add-sqr-sqrt`
108×	`times-frac`
94×	`*-un-lft-identity`
68×	`add-cube-cbrt`
60×	`sqrt-prod`
36×	`associate-r`
24×	`associate-l`
20×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`associate-/r*`
9×	`add-log-exp` `unswap-sqr`
8×	`sqrt-div` `associate-/r/` `associate-/l*`
6×	`pow1` `cbrt-undiv` `div-exp`
5×	`flip3-+` `flip-+`
4×	`prod-exp` `cbrt-unprod` `div-inv`
3×	`sum-log`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `frac-times` `associate-+l+` `flip3--` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--`

Counts

4 → 201

Calls

4 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
7.0ms	(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
30.0ms	(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
10.0ms	(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
13.0ms	(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
8.0ms	(* (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))))
15.0ms	(/ (- x 1.0) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1235	3305
1	5001	3123

prune508.0ms

Filtered

154 candidates to 213 candidates (-38.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	213	4	217

Merged error: 0b

Counts

217 → 4

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

analyze3.0ms

Algorithm: search

sample400.0ms

Algorithm

intervals

Results

310.0ms	8000×	body	80	valid
0.0ms	1×	body	80	nan

Details

analyze3.0ms

sample15.0ms

simplify11.0ms

prune2.0ms

localize12.0ms

rewrite23.0ms

series15.0ms

simplify52.0ms

prune104.0ms

localize8.0ms

rewrite34.0ms

series18.0ms

simplify91.0ms

prune283.0ms

localize13.0ms

rewrite96.0ms

series76.0ms

simplify97.0ms

prune824.0ms

localize11.0ms

rewrite64.0ms

series40.0ms

simplify58.0ms

prune508.0ms

regimes31.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample400.0ms

Profiling