Details

analyze1.7s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
3.1%	96.5%	0.3%	9
4.7%	95%	0.3%	10
4.7%	95%	0.3%	11
5.1%	82.1%	12.8%	12
6.2%	74.7%	19%	13
6.4%	74.5%	19%	14

sample70.0ms

Algorithm

intervals

Results

29.0ms	256×	body	80	valid
16.0ms	174×	body	80	nan

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4959	33
1	4959	33

prune20.0ms

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: 2.5b

Counts

2 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ t a)) t)
0.5b	(/ 2.0 (* t 3.0))
1.4b	(* z (/ (sqrt (+ t a)) t))
2.3b	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
47×	`times-frac`
45×	`add-sqr-sqrt`
37×	`add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
19×	`associate-*r/`
16×	`add-exp-log` `add-cbrt-cube`
14×	`frac-add`
10×	`associate-/l*`
8×	`frac-times` `flip3--` `flip--`
7×	`distribute-lft-out`
6×	`pow1` `frac-sub` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `associate-/r*`
3×	`associate-l` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`sub-neg` `associate-+r+` `frac-2neg` `sqrt-div` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 138

Calls

4 calls:

6.0ms	(/ (sqrt (+ t a)) t)
4.0ms	(/ 2.0 (* t 3.0))
10.0ms	(* z (/ (sqrt (+ t a)) t))
13.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

series82.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (sqrt (+ t a)) t)
2.0ms	(/ 2.0 (* t 3.0))
16.0ms	(* z (/ (sqrt (+ t a)) t))
53.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

simplify32.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5004	2718

prune302.0ms

Filtered

106 candidates to 150 candidates (-41.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	149	3	152

Merged error: 0.5b

Counts

152 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))
0.0b	(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
0.0b	(* c (+ a 0.8333333333333334))
1.1b	(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`-un-lft-identity` `associate-r*`
12×	`add-cube-cbrt`
10×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1` `unpow-prod-down`
6×	`unpow-prod-up` `associate-l` `associate--l+` `add-log-exp`
4×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `prod-exp` `unswap-sqr`
3×	`sub-neg` `pow-unpow` `exp-prod` `associate-*r/` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `pow-sub`
1×	`flip3--` `flip3-+` `diff-log` `pow-prod-down` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))
7.0ms	(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
6.0ms	(* c (+ a 0.8333333333333334))
6.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

series58.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))))
15.0ms	(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
7.0ms	(* c (+ a 0.8333333333333334))
8.0ms	(- (* c (+ a 0.8333333333333334)) (* a b))

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5167	1252

prune189.0ms

Filtered

75 candidates to 101 candidates (-34.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Merged error: 0.2b

Counts

104 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.6666666666666667 (* c 1.388888888888889))
0.1b	(* c (+ 1.6666666666666667 (* c 1.388888888888889)))
2.4b	(/ x (+ x (* y (+ 1 (* c (+ 1.6666666666666667 (* c 1.388888888888889)))))))
2.7b	(* y (+ 1 (* c (+ 1.6666666666666667 (* c 1.388888888888889)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

3.0ms	(+ 1.6666666666666667 (* c 1.388888888888889))
5.0ms	(* c (+ 1.6666666666666667 (* c 1.388888888888889)))
4.0ms	(/ x (+ x (* y (+ 1 (* c (+ 1.6666666666666667 (* c 1.388888888888889)))))))
5.0ms	(* y (+ 1 (* c (+ 1.6666666666666667 (* c 1.388888888888889)))))

series67.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 1.6666666666666667 (* c 1.388888888888889))
6.0ms	(* c (+ 1.6666666666666667 (* c 1.388888888888889)))
47.0ms	(/ x (+ x (* y (+ 1 (* c (+ 1.6666666666666667 (* c 1.388888888888889)))))))
11.0ms	(* y (+ 1 (* c (+ 1.6666666666666667 (* c 1.388888888888889)))))

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5036	1301

prune138.0ms

Filtered

70 candidates to 96 candidates (-37.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.0b

Counts

4 → 4

regimes660.0ms

Accuracy

0% (2.6b remaining)

Error of 3.2b against oracle of 0.7b and baseline of 3.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	154	33
1	154	33

end0.0ms

sample1.8s

Algorithm

intervals

Results

817.0ms	8000×	body	80	valid
455.0ms	4881×	body	80	nan

Details

analyze1.7s

sample70.0ms

simplify34.0ms

prune20.0ms

localize29.0ms

rewrite40.0ms

series82.0ms

simplify32.0ms

prune302.0ms

localize15.0ms

rewrite27.0ms

series58.0ms

simplify54.0ms

prune189.0ms

localize10.0ms

rewrite20.0ms

series67.0ms

simplify40.0ms

prune138.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes660.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling