Details

analyze3.0ms

Algorithm: search

sample15.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify12.0ms

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: 0.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(* 6.0 (- x 1.0))
0.4b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite26.0ms

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:

8.0ms	(+ (+ 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))))

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
11.0ms	(* 6.0 (- x 1.0))
12.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify54.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (47.0ms)

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

prune113.0ms

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

localize9.0ms

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)))

rewrite32.0ms

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

series22.0ms

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

simplify96.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 1 (20.0ms)

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

prune287.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

5.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
8.0ms	(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
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	(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
8.0ms	(* (/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	631	980
1	2815	898
2	5003	896

prune144.0ms

Filtered

77 candidates to 95 candidates (-23.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	95	4	99

Merged error: 0b

Counts

99 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.9b	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.9b	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.9b	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
4×	`pow1` `flip3-+` `flip-+` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/l/`
1×	`flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

10.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
7.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
7.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
8.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series85.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))
24.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
24.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
27.0ms	(cbrt (/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	708	1562
1	3052	1436
2	5001	1429

prune360.0ms

Filtered

83 candidates to 91 candidates (-9.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	91	4	95

Merged error: 0b

Counts

95 → 4

regimes66.0ms

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

sample390.0ms

Algorithm

intervals

Results

305.0ms	8000×	body	80	valid
0.0ms	2×	body	80	nan

Details

analyze3.0ms

sample15.0ms

simplify12.0ms

prune2.0ms

localize9.0ms

rewrite26.0ms

series28.0ms

simplify54.0ms

prune113.0ms

localize9.0ms

rewrite32.0ms

series22.0ms

simplify96.0ms

prune287.0ms

localize8.0ms

rewrite28.0ms

series18.0ms

simplify65.0ms

prune144.0ms

localize13.0ms

rewrite34.0ms

series85.0ms

simplify75.0ms

prune360.0ms

regimes66.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample390.0ms

Profiling