Details

analyze814.0ms

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample47.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5189	11

prune14.0ms

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: 0.1b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.2b	(/ y (* z 3.0))
6.7b	(/ t (* (* z 3.0) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

10.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms	(* (* z 3.0) y)
4.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* (* z 3.0) y))

series30.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms	(* (* z 3.0) y)
3.0ms	(/ y (* z 3.0))
6.0ms	(/ t (* (* z 3.0) y))

simplify40.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5063	950

prune135.0ms

Filtered

62 candidates to 92 candidates (-48.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b	(/ t (* z 3.0))
0.2b	(/ y (* z 3.0))
6.8b	(/ (/ t (* z 3.0)) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
29×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`div-inv`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`frac-add` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 108

Calls

4 calls:

15.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms	(/ t (* z 3.0))
4.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series29.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms	(/ t (* z 3.0))
3.0ms	(/ y (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4983	1306
1	4983	1306

prune140.0ms

Filtered

89 candidates to 120 candidates (-34.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	121	7	128

Merged error: 0b

Counts

128 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (* (/ 1 z) (/ y 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.2b	(* (/ 1 z) (/ y 3.0))
6.7b	(/ t (* (* z 3.0) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
38×	`add-sqr-sqrt`
30×	`add-cbrt-cube`
28×	`times-frac`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l` `prod-exp`
11×	`pow1` `div-exp`
10×	`cbrt-unprod`
9×	`add-log-exp`
7×	`cbrt-undiv`
6×	`unswap-sqr`
4×	`pow-prod-down`
3×	`div-inv` `associate-/l*`
2×	`rec-exp` `1-exp` `frac-add` `sum-log` `*-commutative`
1×	`+-commutative` `frac-times` `associate-+l-` `sub-neg` `associate-+l+` `flip3--` `frac-2neg` `flip3-+` `diff-log` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 114

Calls

4 calls:

7.0ms	(+ (- x (* (/ 1 z) (/ y 3.0))) (/ t (* (* z 3.0) y)))
4.0ms	(* (* z 3.0) y)
12.0ms	(* (/ 1 z) (/ y 3.0))
5.0ms	(/ t (* (* z 3.0) y))

series30.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (* (/ 1 z) (/ y 3.0))) (/ t (* (* z 3.0) y)))
3.0ms	(* (* z 3.0) y)
3.0ms	(* (/ 1 z) (/ y 3.0))
6.0ms	(/ t (* (* z 3.0) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4988	1215
1	4988	1215

prune141.0ms

Filtered

85 candidates to 126 candidates (-48.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	126	7	133

Merged error: 0b

Counts

133 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (* 0.3333333333333333 (/ t (* z y))))
0.2b	(* 0.3333333333333333 (/ t (* z y)))
0.2b	(/ y (* z 3.0))
6.8b	(/ t (* z y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `add-log-exp`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-r/` `associate-l*` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `*-commutative` `flip--` `flip-+` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

8.0ms	(+ (- x (/ y (* z 3.0))) (* 0.3333333333333333 (/ t (* z y))))
6.0ms	(* 0.3333333333333333 (/ t (* z y)))
4.0ms	(/ y (* z 3.0))
4.0ms	(/ t (* z y))

series33.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (* 0.3333333333333333 (/ t (* z y))))
6.0ms	(* 0.3333333333333333 (/ t (* z y)))
3.0ms	(/ y (* z 3.0))
7.0ms	(/ t (* z y))

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4994	961
1	4994	961

prune88.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	97	7	104

Merged error: 0b

Counts

104 → 7

regimes434.0ms

Accuracy

66.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.8b

bsearch57.0ms

Steps

Iters	Range		Point
10	8.423922837835048e+57	8.320299034942849e+71	8.566572551246772e+57
7	-2.009927769058284e-122	-1.3328040276204726e-124	-1.9756495134823586e-122

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	90	37
1	90	37

end0.0ms

sample1.5s

Algorithm

intervals

Results

325.0ms

8000×

body

valid

Details

analyze814.0ms

sample47.0ms

simplify68.0ms

prune14.0ms

localize9.0ms

rewrite26.0ms

series30.0ms

simplify40.0ms

prune135.0ms

localize12.0ms

rewrite31.0ms

series29.0ms

simplify40.0ms

prune140.0ms

localize11.0ms

rewrite33.0ms

series30.0ms

simplify52.0ms

prune141.0ms

localize11.0ms

rewrite25.0ms

series33.0ms

simplify51.0ms

prune88.0ms

regimes434.0ms

bsearch57.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling