Details

sample2.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 37.799072%

Guaranteed chance to sample good point: 17.927583%

Results

18.0ms	256×	body	80	valid
8.0ms	150×	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)) (* (- (+ y t) 2.0) b))
0.0b	(* (- y 1.0) z)
0.0b	(* (- t 1.0) a)
0.0b	(* (- (+ y t) 2.0) b)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

14.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- y 1.0) z)
6.0ms	(* (- t 1.0) a)
8.0ms	(* (- (+ y t) 2.0) b)

series58.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
4.0ms	(* (- y 1.0) z)
4.0ms	(* (- t 1.0) a)
6.0ms	(* (- (+ y t) 2.0) b)

simplify111.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	886	1273
1	4545	1219
2	5001	1219

prune166.0ms

Filtered

75 candidates to 109 candidates (-45.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Merged error: 0b

Counts

110 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
22×	`*-un-lft-identity`
18×	`cbrt-prod`
16×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
10×	`add-cbrt-cube`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`distribute-lft-out--`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 96

Calls

4 calls:

25.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
5.0ms	(cbrt (- (+ y t) 2.0))
5.0ms	(cbrt (- (+ y t) 2.0))
5.0ms	(cbrt (- (+ y t) 2.0))

series84.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
27.0ms	(cbrt (- (+ y t) 2.0))
22.0ms	(cbrt (- (+ y t) 2.0))
25.0ms	(cbrt (- (+ y t) 2.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	473	1576
1	1304	1392
2	5001	1330

prune218.0ms

Filtered

69 candidates to 108 candidates (-56.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Merged error: 0b

Counts

112 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ y t) (+ y t)) (* 2.0 2.0))
0.0b	(* (+ y t) (+ y t))
7.2b	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
10.4b	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `distribute-lft-out`
8×	`associate-l`
7×	`flip3-+` `associate-r` `flip-+`
6×	`swap-sqr` `associate-*l/` `add-log-exp`
5×	`times-frac` `associate-/r*`
4×	`frac-times`
3×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `div-exp` `pow-prod-down` `associate--l+` `associate-/r/` `-commutative` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`pow2` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 105

Calls

4 calls:

8.0ms	(- (* (+ y t) (+ y t)) (* 2.0 2.0))
10.0ms	(* (+ y t) (+ y t))
11.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
15.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

series41.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* (+ y t) (+ y t)) (* 2.0 2.0))
3.0ms	(* (+ y t) (+ y t))
13.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
19.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	506	891
1	2569	770
2	5001	766

prune138.0ms

Filtered

74 candidates to 117 candidates (-58.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ y t) 2.0) b)
0.0b	(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
0.0b	(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
0.2b	(* (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

656×	`associate-*l/`
513×	`flip3--` `flip--`
448×	`sqrt-div`
384×	`frac-add`
256×	`frac-sub`
196×	`frac-times`
34×	`add-sqr-sqrt`
32×	`flip3-+` `flip-+`
24×	`sqrt-prod`
23×	`pow1`
21×	`*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`associate-*r/`
12×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out` `difference-of-squares`

Counts

4 → 350

Calls

4 calls:

8.0ms	(* (- (+ y t) 2.0) b)
11.0ms	(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
11.0ms	(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
33.0ms	(* (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

series1.3s

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- (+ y t) 2.0) b)
616.0ms	(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
608.0ms	(sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
48.0ms	(* (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (sqrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

simplify257.0ms

Algorithm

egg-herbie

Counts

362 → 362

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1334	27632
1	5001	27471

prune3.0s

Filtered

211 candidates to 362 candidates (-71.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	362	0	362
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	362	4	366

Merged error: 0b

Counts

366 → 4

regimes539.0ms

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

sample4.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 37.799072%

Guaranteed chance to sample good point: 17.927583%

Results

465.0ms	7998×	body	80	valid
257.0ms	4509×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample2.6s

simplify38.0ms

prune5.0ms

localize14.0ms

rewrite37.0ms

series58.0ms

simplify111.0ms

prune166.0ms

localize18.0ms

rewrite45.0ms

series84.0ms

simplify46.0ms

prune218.0ms

localize18.0ms

rewrite47.0ms

series41.0ms

simplify78.0ms

prune138.0ms

localize16.0ms

rewrite118.0ms

series1.3s

simplify257.0ms

prune3.0s

regimes539.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.0s

Profiling