Details

sample20.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

11.0ms

281×

body

valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	42	5
2	87	5
3	175	5
4	310	5
5	500	5
6	720	5
7	948	5
8	1148	5
9	1148	5

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`sub-neg` `associate--l+`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
3×	`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 → 62

Calls

3 calls:

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

series14.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* x (- y 1.0))
5.0ms	(- (* x (- y 1.0)) (* y 0.5))
5.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)

simplify94.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	262	366
1	880	336
2	3787	332
3	5002	332

prune74.0ms

Filtered

45 candidates to 71 candidates (-57.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	3	72

Merged error: 0.0b

Counts

72 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series91.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt x) (cbrt x))
23.0ms	(cbrt x)
21.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune82.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt x) (- y 1.0))
0.3b	(* (cbrt (* x x)) (* (cbrt x) (- y 1.0)))
0.7b	(cbrt x)
24.6b	(cbrt (* x x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

7.0ms	(* (cbrt x) (- y 1.0))
9.0ms	(* (cbrt (* x x)) (* (cbrt x) (- y 1.0)))
1.0ms	(cbrt x)
2.0ms	(cbrt (* x x))

series76.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt x) (- y 1.0))
8.0ms	(* (cbrt (* x x)) (* (cbrt x) (- y 1.0)))
23.0ms	(cbrt x)
21.0ms	(cbrt (* x x))

simplify108.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	320	556
1	1059	490
2	4432	451
3	5002	365

prune85.0ms

Filtered

60 candidates to 91 candidates (-51.7%)

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: 0.0b

Counts

95 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* x (- y 1.0)) 3)
1.6b	(+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5)))
3.3b	(- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3))
36.2b	(/ (- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3)) (+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`times-frac`
21×	`sqr-pow`
20×	`difference-of-squares`
19×	`add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`add-log-exp`
7×	`pow1`
5×	`difference-cubes` `distribute-lft-out--`
3×	`pow-unpow` `flip3--` `associate-/r*` `flip--`
2×	`cube-div` `associate-+l+` `pow-pow` `flip3-+` `associate-*r/` `pow-exp` `associate-/r/` `flip-+` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `unpow-prod-down` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `div-sub` `cube-prod` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv`

Counts

4 → 111

Calls

4 calls:

6.0ms	(pow (* x (- y 1.0)) 3)
14.0ms	(+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5)))
8.0ms	(- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3))
24.0ms	(/ (- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3)) (+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5))))

series87.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow (* x (- y 1.0)) 3)
16.0ms	(+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5)))
20.0ms	(- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3))
45.0ms	(/ (- (pow (* x (- y 1.0)) 3) (pow (* y 0.5) 3)) (+ (* (* x (- y 1.0)) (+ (* x (- y 1.0)) (* y 0.5))) (* (* y 0.5) (* y 0.5))))

simplify103.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	607	2334
1	2761	2175
2	5002	2158

prune368.0ms

Filtered

97 candidates to 123 candidates (-26.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	122	5	127

Merged error: 0b

Counts

127 → 5

regimes177.0ms

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	5
1	13	5

end0.0ms

sample450.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

258.0ms	9085×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

sample20.0ms

simplify36.0ms

prune2.0ms

localize7.0ms

rewrite22.0ms

series14.0ms

simplify94.0ms

prune74.0ms

localize11.0ms

rewrite11.0ms

series91.0ms

simplify73.0ms

prune82.0ms

localize12.0ms

rewrite21.0ms

series76.0ms

simplify108.0ms

prune85.0ms

localize17.0ms

rewrite56.0ms

series87.0ms

simplify103.0ms

prune368.0ms

regimes177.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample450.0ms

Profiling