Details

analyze1.3s

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

sample29.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
3.0ms	63×	body	80	invalid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5014	15

prune17.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 2.0 1.0) (/ 2.0 z))
0.0b	(+ (/ x y) (- (/ (+ (* 2.0 1.0) (/ 2.0 z)) t) 2.0))
0.1b	(/ (+ (* 2.0 1.0) (/ 2.0 z)) t)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
10×	`add-log-exp`
7×	`distribute-lft-out`
6×	`div-inv`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/l*`
3×	`pow1` `flip3-+` `associate-/r*` `sum-log` `flip-+`
2×	`+-commutative` `frac-add` `associate-/l/`
1×	`cbrt-undiv` `associate-+r-` `sub-neg` `associate-+r+` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `distribute-lft-out--`

Counts

3 → 63

Calls

3 calls:

6.0ms	(+ (* 2.0 1.0) (/ 2.0 z))
17.0ms	(+ (/ x y) (- (/ (+ (* 2.0 1.0) (/ 2.0 z)) t) 2.0))
8.0ms	(/ (+ (* 2.0 1.0) (/ 2.0 z)) t)

series20.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (* 2.0 1.0) (/ 2.0 z))
12.0ms	(+ (/ x y) (- (/ (+ (* 2.0 1.0) (/ 2.0 z)) t) 2.0))
5.0ms	(/ (+ (* 2.0 1.0) (/ 2.0 z)) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4955	1078
1	4955	1078

prune140.0ms

Filtered

58 candidates to 72 candidates (-24.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 2.0 (* z t)) (/ 2.0 t))
0.0b	(+ (/ x y) (- (+ (/ 2.0 (* z t)) (/ 2.0 t)) 2.0))
0.6b	(/ 2.0 (* z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`add-log-exp`
11×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`sum-log`
4×	`distribute-rgt-out`
3×	`pow1` `frac-add` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `associate-+r+` `flip3-+` `diff-log` `div-exp` `flip-+` `distribute-lft-out--`
1×	`associate-+r-` `sub-neg` `flip3--` `frac-2neg` `distribute-lft1-in` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `flip--` `cbrt-unprod`

Counts

3 → 61

Calls

3 calls:

10.0ms	(+ (/ 2.0 (* z t)) (/ 2.0 t))
23.0ms	(+ (/ x y) (- (+ (/ 2.0 (* z t)) (/ 2.0 t)) 2.0))
4.0ms	(/ 2.0 (* z t))

series21.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (/ 2.0 (* z t)) (/ 2.0 t))
13.0ms	(+ (/ x y) (- (+ (/ 2.0 (* z t)) (/ 2.0 t)) 2.0))
3.0ms	(/ 2.0 (* z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4977	884
1	4977	884

prune105.0ms

Filtered

50 candidates to 70 candidates (-40.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	71	4	75

Merged error: 0.0b

Counts

75 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (/ 1 z))
0.0b	(+ (/ x y) (- (* (/ 2.0 t) (+ 1 (/ 1 z))) 2.0))
0.1b	(* (/ 2.0 t) (+ 1 (/ 1 z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`add-cube-cbrt`
10×	`times-frac` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `distribute-lft-out`
4×	`flip3-+` `flip-+`
3×	`associate-+r+` `sum-log` `div-inv`
2×	`+-commutative` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `frac-add` `prod-exp` `associate--l+` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-+r-` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--`

Counts

3 → 72

Calls

3 calls:

6.0ms	(+ 1 (/ 1 z))
19.0ms	(+ (/ x y) (- (* (/ 2.0 t) (+ 1 (/ 1 z))) 2.0))
12.0ms	(* (/ 2.0 t) (+ 1 (/ 1 z)))

series19.0ms

Counts

3 → 9

Calls

3 calls:

1.0ms	(+ 1 (/ 1 z))
13.0ms	(+ (/ x y) (- (* (/ 2.0 t) (+ 1 (/ 1 z))) 2.0))
5.0ms	(* (/ 2.0 t) (+ 1 (/ 1 z)))

simplify31.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5012	919

prune123.0ms

Filtered

61 candidates to 81 candidates (-32.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	81	4	85

Merged error: 0.0b

Counts

85 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt 2.0) (/ (sqrt 2.0) z))
0.4b	(* (/ (sqrt 2.0) t) (+ (sqrt 2.0) (/ (sqrt 2.0) z)))
0.5b	(/ (sqrt 2.0) z)
0.5b	(/ (sqrt 2.0) t)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt` `times-frac`
52×	`*-un-lft-identity`
48×	`add-cube-cbrt`
34×	`sqrt-prod`
22×	`associate-l`
13×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/l*`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-r`
3×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `sum-log` `-commutative`

Counts

4 → 139

Calls

4 calls:

11.0ms	(+ (sqrt 2.0) (/ (sqrt 2.0) z))
20.0ms	(* (/ (sqrt 2.0) t) (+ (sqrt 2.0) (/ (sqrt 2.0) z)))
4.0ms	(/ (sqrt 2.0) z)
4.0ms	(/ (sqrt 2.0) t)

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (sqrt 2.0) (/ (sqrt 2.0) z))
13.0ms	(* (/ (sqrt 2.0) t) (+ (sqrt 2.0) (/ (sqrt 2.0) z)))
4.0ms	(/ (sqrt 2.0) z)
4.0ms	(/ (sqrt 2.0) t)

simplify63.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4968	1381
1	4968	1381

prune256.0ms

Filtered

102 candidates to 151 candidates (-48.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	151	4	155

Merged error: 0.0b

Counts

155 → 4

regimes296.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	15
1	62	15

end0.0ms

sample819.0ms

Algorithm

intervals

Results

408.0ms	8000×	body	80	valid
118.0ms	2367×	body	80	invalid

Details

analyze1.3s

sample29.0ms

simplify38.0ms

prune17.0ms

localize10.0ms

rewrite33.0ms

series20.0ms

simplify52.0ms

prune140.0ms

localize10.0ms

rewrite38.0ms

series21.0ms

simplify41.0ms

prune105.0ms

localize11.0ms

rewrite39.0ms

series19.0ms

simplify31.0ms

prune123.0ms

localize11.0ms

rewrite44.0ms

series27.0ms

simplify63.0ms

prune256.0ms

regimes296.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample819.0ms

Profiling