Details

analyze66.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	255×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (- y 1.0)) (* y 0.5))
0.0b	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
0.0b	(* x (- y 1.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

5.0ms	(- (* x (- y 1.0)) (* y 0.5))
8.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
6.0ms	(* x (- y 1.0))

series15.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(- (* x (- y 1.0)) (* y 0.5))
5.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
5.0ms	(* x (- y 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6012	640

prune78.0ms

Filtered

46 candidates to 63 candidates (-37.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.3b	(cbrt (- y 1.0))
0.3b	(cbrt (- y 1.0))
0.3b	(cbrt (- y 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))

series33.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
7.0ms	(cbrt (- y 1.0))
7.0ms	(cbrt (- y 1.0))
8.0ms	(cbrt (- y 1.0))

simplify32.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5133	1252

prune225.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
0.0b	(+ (- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5)) 0.918938533204673)
4.5b	(* x (- (* y y) (* 1.0 1.0)))
8.6b	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

9.0ms	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
13.0ms	(+ (- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5)) 0.918938533204673)
6.0ms	(* x (- (* y y) (* 1.0 1.0)))
9.0ms	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

series51.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
14.0ms	(+ (- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5)) 0.918938533204673)
10.0ms	(* x (- (* y y) (* 1.0 1.0)))
14.0ms	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4976	965
1	4976	965

prune99.0ms

Filtered

64 candidates to 88 candidates (-37.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (- (* x (- y 1.0)) (* y 0.5)) 3) (pow 0.918938533204673 3))
0.0b	(pow (- (* x (- y 1.0)) (* y 0.5)) 3)
0.1b	(* (- (* x (- y 1.0)) (* y 0.5)) (- (* x (- y 1.0)) (+ (* y 0.5) 0.918938533204673)))
32.2b	(/ (+ (pow (- (* x (- y 1.0)) (* y 0.5)) 3) (pow 0.918938533204673 3)) (+ (* 0.918938533204673 0.918938533204673) (* (- (* x (- y 1.0)) (* y 0.5)) (- (* x (- y 1.0)) (+ (* y 0.5) 0.918938533204673)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
27×	`times-frac`
25×	`add-sqr-sqrt` `distribute-lft-out`
23×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
18×	`associate-*r/`
17×	`flip3--` `flip--`
12×	`frac-times` `frac-sub`
9×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `associate-/l*`
7×	`pow1`
6×	`sub-neg` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `sum-cubes`
4×	`associate--l+`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/r*`
2×	`cube-div` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 141

Calls

4 calls:

15.0ms	(+ (pow (- (* x (- y 1.0)) (* y 0.5)) 3) (pow 0.918938533204673 3))
7.0ms	(pow (- (* x (- y 1.0)) (* y 0.5)) 3)
16.0ms	(* (- (* x (- y 1.0)) (* y 0.5)) (- (* x (- y 1.0)) (+ (* y 0.5) 0.918938533204673)))
19.0ms	(/ (+ (pow (- (* x (- y 1.0)) (* y 0.5)) 3) (pow 0.918938533204673 3)) (+ (* 0.918938533204673 0.918938533204673) (* (- (* x (- y 1.0)) (* y 0.5)) (- (* x (- y 1.0)) (+ (* y 0.5) 0.918938533204673)))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (pow (- (* x (- y 1.0)) (* y 0.5)) 3) (pow 0.918938533204673 3))
11.0ms	(pow (- (* x (- y 1.0)) (* y 0.5)) 3)
12.0ms	(* (- (* x (- y 1.0)) (* y 0.5)) (- (* x (- y 1.0)) (+ (* y 0.5) 0.918938533204673)))
78.0ms	(/ (+ (pow (- (* x (- y 1.0)) (* y 0.5)) 3) (pow 0.918938533204673 3)) (+ (* 0.918938533204673 0.918938533204673) (* (- (* x (- y 1.0)) (* y 0.5)) (- (* x (- y 1.0)) (+ (* y 0.5) 0.918938533204673)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4970	6161
1	4970	6161

prune426.0ms

Filtered

100 candidates to 153 candidates (-53.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	153	4	157

Merged error: 0b

Counts

157 → 4

regimes155.0ms

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	13	11
1	13	11

end0.0ms

analyze62.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

sample331.0ms

Algorithm

intervals

Results

216.0ms	7993×	body	80	valid
2.0ms	66×	body	80	invalid
0.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid

Details

analyze66.0ms

sample14.0ms

simplify3.0ms

prune5.0ms

localize7.0ms

rewrite21.0ms

series15.0ms

simplify50.0ms

prune78.0ms

localize11.0ms

rewrite24.0ms

series33.0ms

simplify32.0ms

prune225.0ms

localize11.0ms

rewrite39.0ms

series51.0ms

simplify41.0ms

prune99.0ms

localize20.0ms

rewrite62.0ms

series139.0ms

simplify74.0ms

prune426.0ms

regimes155.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze62.0ms

sample331.0ms

Profiling