Details

sample4.1s

Algorithm

intervals

sampling

Space saved by range analysis: 1.655798%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results

14.0ms	256×	body	80	valid
6.0ms	112×	body	80	invalid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

prune5.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b	(* (- y 1.0) z)
0.0b	(* (- (+ y t) 2.0) b)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
23×	`flip3--` `flip--`
18×	`add-log-exp`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`frac-add` `frac-sub`
11×	`associate-l`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`diff-log` `associate-r`
4×	`sub-neg` `associate-+l+` `associate--l+`
3×	`sum-log` `distribute-lft-out--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

6.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
15.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- y 1.0) z)
8.0ms	(* (- (+ y t) 2.0) b)

series82.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
45.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
4.0ms	(* (- y 1.0) z)
6.0ms	(* (- (+ y t) 2.0) b)

simplify102.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	851	1467
1	4347	1416
2	5001	1416

prune183.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	5	108

Merged error: 0.0b

Counts

108 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
0.6b	(cbrt (* (- (+ y t) 2.0) b))
0.6b	(cbrt (* (- (+ y t) 2.0) b))
0.6b	(cbrt (* (- (+ y t) 2.0) b))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
7.0ms	(cbrt (* (- (+ y t) 2.0) b))
7.0ms	(cbrt (* (- (+ y t) 2.0) b))
7.0ms	(cbrt (* (- (+ y t) 2.0) b))

series126.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
27.0ms	(cbrt (* (- (+ y t) 2.0) b))
26.0ms	(cbrt (* (- (+ y t) 2.0) b))
29.0ms	(cbrt (* (- (+ y t) 2.0) b))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	377	1025
1	1180	960
2	5001	902

prune227.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- x (* (* (- y 1.0) (sqrt z)) (sqrt z))) (* (- t 1.0) a))
0.0b	(* (- (+ y t) 2.0) b)
0.1b	(* (- y 1.0) (sqrt z))
0.3b	(* (* (- y 1.0) (sqrt z)) (sqrt z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
15×	`associate-r`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l` `associate-*l/`
11×	`add-cube-cbrt`
9×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`sqrt-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`frac-sub`
3×	`diff-log` `*-commutative` `distribute-lft-out--` `unswap-sqr`
2×	`sub-neg` `associate--l+` `difference-of-squares`
1×	`associate--l-` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

6.0ms	(- (- x (* (* (- y 1.0) (sqrt z)) (sqrt z))) (* (- t 1.0) a))
10.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(* (- y 1.0) (sqrt z))
9.0ms	(* (* (- y 1.0) (sqrt z)) (sqrt z))

series47.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (- x (* (* (- y 1.0) (sqrt z)) (sqrt z))) (* (- t 1.0) a))
6.0ms	(* (- (+ y t) 2.0) b)
6.0ms	(* (- y 1.0) (sqrt z))
6.0ms	(* (* (- y 1.0) (sqrt z)) (sqrt z))

simplify69.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	639	829
1	2712	720
2	5002	713

prune130.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (exp (log (* (- (+ y t) 2.0) b))))
0.0b	(* (- (+ y t) 2.0) b)
2.8b	(exp (log (* (- (+ y t) 2.0) b)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
19×	`flip3--` `flip--`
18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
14×	`log-div` `exp-diff`
13×	`add-log-exp`
12×	`frac-add`
11×	`pow1` `associate-l`
9×	`add-cube-cbrt`
8×	`add-exp-log` `frac-sub` `add-cbrt-cube`
6×	`associate-r`
5×	`exp-prod`
4×	`associate-+l+`
3×	`diff-log` `pow-prod-down` `sum-log` `distribute-lft-out--`
2×	`sub-neg` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `log-prod` `flip3-+` `exp-sum` `flip-+` `rem-exp-log`

Counts

4 → 92

Calls

4 calls:

8.0ms	(* (- y 1.0) z)
15.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (exp (log (* (- (+ y t) 2.0) b))))
9.0ms	(* (- (+ y t) 2.0) b)
8.0ms	(exp (log (* (- (+ y t) 2.0) b)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- y 1.0) z)
47.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (exp (log (* (- (+ y t) 2.0) b))))
6.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(exp (log (* (- (+ y t) 2.0) b)))

simplify87.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	700	1354
1	3377	1284
2	5003	1280

prune166.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

regimes558.0ms

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	23	10
1	23	10

end0.0ms

sample5.4s

Algorithm

intervals

sampling

Space saved by range analysis: 1.655798%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results

675.0ms	7997×	body	80	valid
242.0ms	4297×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

Details

sample4.1s

simplify38.0ms

prune5.0ms

localize14.0ms

rewrite39.0ms

series82.0ms

simplify102.0ms

prune183.0ms

localize19.0ms

rewrite34.0ms

series126.0ms

simplify41.0ms

prune227.0ms

localize16.0ms

rewrite35.0ms

series47.0ms

simplify69.0ms

prune130.0ms

localize17.0ms

rewrite44.0ms

series64.0ms

simplify87.0ms

prune166.0ms

regimes558.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.4s

Profiling