Details

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.256348%

Guaranteed chance to sample good point: 73.381471%

Results

15.0ms	256×	body	80	valid
10.0ms	132×	body	80	invalid

simplify37.0ms

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

rewrite35.0ms

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:

12.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms	(* (- t 1.0) a)
6.0ms	(* (- y 1.0) z)
8.0ms	(* (- (+ y t) 2.0) b)

series63.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
4.0ms	(* (- t 1.0) a)
4.0ms	(* (- y 1.0) z)
6.0ms	(* (- (+ y t) 2.0) b)

simplify104.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (19.0ms)

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

prune173.0ms

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

rewrite23.0ms

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))

series35.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	368	950
1	1208	913
2	5002	852

prune291.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

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

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
0.5b	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
0.5b	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
0.5b	(* (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

674×	`associate-*l/`
528×	`flip3--` `flip--`
462×	`cbrt-div`
396×	`frac-add`
264×	`frac-sub`
196×	`frac-times`
33×	`flip3-+` `flip-+`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-*r/`
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 → 339

Calls

4 calls:

11.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
13.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
11.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
32.0ms	(* (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

series450.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
91.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
92.0ms	(cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
175.0ms	(* (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))) (cbrt (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))))

simplify337.0ms

Algorithm

egg-herbie

Counts

351 → 351

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	1293	29742
1	4831	29576
2	5001	29495

prune4.4s

Filtered

234 candidates to 351 candidates (-50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	351	0	351
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	351	4	355

Merged error: 0b

Counts

355 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`associate-r`
17×	`associate-l`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt`
10×	`associate-*l/`
7×	`sqrt-prod`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`flip3--` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
3×	`difference-of-squares`
1×	`distribute-lft-out`

Counts

4 → 94

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
8.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(* (- y 1.0) (sqrt z))
9.0ms	(* (* (- y 1.0) (sqrt z)) (sqrt z))

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- 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))

simplify50.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	463	515
1	1946	440
2	5001	436

prune306.0ms

Filtered

67 candidates to 106 candidates (-58.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Merged error: 0b

Counts

110 → 4

regimes574.0ms

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

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.256348%

Guaranteed chance to sample good point: 73.381471%

Results

471.0ms	7996×	body	80	valid
262.0ms	4454×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

sample1.5s

simplify37.0ms

prune5.0ms

localize14.0ms

rewrite35.0ms

series63.0ms

simplify104.0ms

prune173.0ms

localize18.0ms

rewrite23.0ms

series35.0ms

simplify44.0ms

prune291.0ms

localize20.0ms

rewrite127.0ms

series450.0ms

simplify337.0ms

prune4.4s

localize19.0ms

rewrite33.0ms

series22.0ms

simplify50.0ms

prune306.0ms

regimes574.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Profiling