Details

analyze746.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample25.0ms

Algorithm

intervals

Results

10.0ms	246×	body	80	valid
2.0ms	48×	body	80	invalid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
0.0b	(* x (+ (* (+ y z) 2) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

11.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
10.0ms	(* x (+ (* (+ y z) 2) t))

series28.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
12.0ms	(* x (+ (* (+ y z) 2) t))

simplify53.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5376	519

prune72.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 0.0b

Counts

42 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (* (+ y z) 2)) (* x t))
0.0b	(+ (+ (* x (* (+ y z) 2)) (* x t)) (* y 5.0))
0.0b	(* x (* (+ y z) 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `associate-r/` `associate-l/`
1×	`associate-+l+` `associate-r` `*-commutative` `distribute-lft-out`

Counts

3 → 45

Calls

3 calls:

9.0ms	(+ (* x (* (+ y z) 2)) (* x t))
11.0ms	(+ (+ (* x (* (+ y z) 2)) (* x t)) (* y 5.0))
7.0ms	(* x (* (+ y z) 2))

series37.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* x (* (+ y z) 2)) (* x t))
16.0ms	(+ (+ (* x (* (+ y z) 2)) (* x t)) (* y 5.0))
9.0ms	(* x (* (+ y z) 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4944	633
1	4944	633

prune68.0ms

Filtered

37 candidates to 54 candidates (-45.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* (+ y z) 2) t))
0.0b	(+ (* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t))) (* y 5.0))
0.1b	(* x (sqrt (+ (* (+ y z) 2) t)))
0.2b	(* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
15×	`add-sqr-sqrt`
12×	`pow1` `associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/` `sqrt-prod`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 79

Calls

4 calls:

7.0ms	(sqrt (+ (* (+ y z) 2) t))
21.0ms	(+ (* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t))) (* y 5.0))
11.0ms	(* x (sqrt (+ (* (+ y z) 2) t)))
19.0ms	(* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (+ (* (+ y z) 2) t))
24.0ms	(+ (* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t))) (* y 5.0))
26.0ms	(* x (sqrt (+ (* (+ y z) 2) t)))
33.0ms	(* (* x (sqrt (+ (* (+ y z) 2) t))) (sqrt (+ (* (+ y z) 2) t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4960	1347
1	4960	1347

prune135.0ms

Filtered

64 candidates to 91 candidates (-42.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	91	5	96

Merged error: 0.0b

Counts

96 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t))
4.0b	(- (* x (* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t))) (* y (* y (* 5.0 5.0))))
9.6b	(* x (* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t)))
30.1b	(/ (- (* x (* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t))) (* y (* y (* 5.0 5.0)))) (- (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`flip3-+` `flip-+`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`frac-times`
6×	`add-log-exp`
4×	`associate-r` `associate-l` `associate-*l/` `associate--l+`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 108

Calls

4 calls:

17.0ms	(* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t))
22.0ms	(- (* x (* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t))) (* y (* y (* 5.0 5.0))))
22.0ms	(* x (* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t)))
32.0ms	(/ (- (* x (* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t))) (* y (* y (* 5.0 5.0)))) (- (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t))
78.0ms	(- (* x (* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t))) (* y (* y (* 5.0 5.0))))
31.0ms	(* x (* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t)))
142.0ms	(/ (- (* x (* (* x (+ (* (+ y z) 2) t)) (+ (* (+ y z) 2) t))) (* y (* y (* 5.0 5.0)))) (- (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5004	3431

prune206.0ms

Filtered

88 candidates to 120 candidates (-36.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	118	7	125

Merged error: 0.0b

Counts

125 → 7

regimes296.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample686.0ms

Algorithm

intervals

Results

305.0ms	7714×	body	80	valid
70.0ms	1871×	body	80	invalid
18.0ms	88×	body	1280	valid
15.0ms	109×	body	640	valid
7.0ms	62×	body	320	valid
2.0ms	27×	body	160	valid

Details

analyze746.0ms

sample25.0ms

simplify14.0ms

prune9.0ms

localize10.0ms

rewrite22.0ms

series28.0ms

simplify53.0ms

prune72.0ms

localize11.0ms

rewrite29.0ms

series37.0ms

simplify43.0ms

prune68.0ms

localize12.0ms

rewrite61.0ms

series95.0ms

simplify84.0ms

prune135.0ms

localize18.0ms

rewrite97.0ms

series283.0ms

simplify80.0ms

prune206.0ms

regimes296.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample686.0ms

Profiling