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

sample74.0ms

Algorithm

intervals

Results

29.0ms	256×	body	80	valid
17.0ms	189×	body	80	nan

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5545	33

prune23.0ms

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

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (+ t a)) t)
0.5b	(/ 2.0 (* t 3.0))
1.9b	(* z (/ (sqrt (+ t a)) t))
2.2b	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

rewrite42.0ms

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))
12.0ms	(* z (/ (sqrt (+ t a)) t))
14.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (sqrt (+ t a)) t)
2.0ms	(/ 2.0 (* t 3.0))
18.0ms	(* z (/ (sqrt (+ t a)) t))
57.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4991	2716
1	4991	2716

prune322.0ms

Filtered

106 candidates to 150 candidates (-41.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	145	5	150
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	146	6	152

Merged error: 0.7b

Counts

152 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (+ t a)) (/ 1 t))
0.5b	(/ 2.0 (* t 3.0))
1.9b	(* z (* (sqrt (+ t a)) (/ 1 t)))
2.2b	(+ (* z (* (sqrt (+ t a)) (/ 1 t))) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

130×	`associate-*r/`
84×	`frac-add`
80×	`frac-times`
64×	`sqrt-div`
51×	`flip3-+` `flip-+`
48×	`flip3--` `flip--`
44×	`associate-*l/`
36×	`frac-sub`
33×	`add-exp-log`
30×	`add-sqr-sqrt`
23×	`add-cbrt-cube`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt` `times-frac` `un-div-inv`
14×	`associate-r` `prod-exp`
11×	`pow1`
10×	`associate-l`
8×	`cbrt-unprod`
7×	`sqrt-prod`
6×	`div-exp` `add-log-exp` `unswap-sqr`
4×	`cbrt-undiv` `pow-prod-down`
3×	`associate-/l*`
2×	`sub-neg` `rec-exp` `associate-+r+` `1-exp` `*-commutative` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r*` `sum-log` `distribute-lft-out`

Counts

4 → 193

Calls

4 calls:

11.0ms	(* (sqrt (+ t a)) (/ 1 t))
4.0ms	(/ 2.0 (* t 3.0))
11.0ms	(* z (* (sqrt (+ t a)) (/ 1 t)))
18.0ms	(+ (* z (* (sqrt (+ t a)) (/ 1 t))) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (sqrt (+ t a)) (/ 1 t))
2.0ms	(/ 2.0 (* t 3.0))
17.0ms	(* z (* (sqrt (+ t a)) (/ 1 t)))
58.0ms	(+ (* z (* (sqrt (+ t a)) (/ 1 t))) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

simplify87.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	6328	9010

prune615.0ms

Filtered

152 candidates to 205 candidates (-34.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	205	6	211

Merged error: 0.7b

Counts

211 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2.0 (* t 3.0))
0.9b	(log (exp (+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))))
1.9b	(* z (/ (sqrt (+ t a)) t))
2.2b	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

4.0ms	(/ 2.0 (* t 3.0))
11.0ms	(log (exp (+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))))
13.0ms	(* z (/ (sqrt (+ t a)) t))
14.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

series132.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 2.0 (* t 3.0))
54.0ms	(log (exp (+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))))
22.0ms	(* z (/ (sqrt (+ t a)) t))
54.0ms	(+ (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (/ 2.0 (* t 3.0)) (+ a (/ 5.0 6.0)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4959	2670
1	4959	2670

prune289.0ms

Filtered

89 candidates to 121 candidates (-36.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	121	6	127

Merged error: 0.7b

Counts

127 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
2.2b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.9b	(/ (* z (sqrt (+ t a))) t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

7.0ms	(* z (sqrt (+ t a)))
4.0ms	(/ 2.0 (* t 3.0))
13.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms	(/ (* z (sqrt (+ t a))) t)

series104.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* z (sqrt (+ t a)))
2.0ms	(/ 2.0 (* t 3.0))
70.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
18.0ms	(/ (* z (sqrt (+ t a))) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4965	2272
1	4965	2272

prune214.0ms

Filtered

87 candidates to 110 candidates (-26.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	110	6	116

Merged error: 0.7b

Counts

116 → 6

regimes1.4s

Accuracy

0% (2.6b remaining)

Error of 3.3b against oracle of 0.7b and baseline of 3.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	35
1	80	35

end0.0ms

sample1.8s

Algorithm

intervals

Results

787.0ms	8000×	body	80	valid
471.0ms	4959×	body	80	nan

Details

analyze1.7s

sample74.0ms

simplify29.0ms

prune23.0ms

localize25.0ms

rewrite42.0ms

series89.0ms

simplify58.0ms

prune322.0ms

localize31.0ms

rewrite60.0ms

series89.0ms

simplify87.0ms

prune615.0ms

localize26.0ms

rewrite47.0ms

series132.0ms

simplify55.0ms

prune289.0ms

localize25.0ms

rewrite35.0ms

series104.0ms

simplify54.0ms

prune214.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling