Details

sample74.0ms

Algorithm

intervals

Results

21.0ms	250×	body	80	nan
20.0ms	256×	body	80	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	17
1	108	17
2	389	17
3	1761	17
4	5002	17

prune5.0ms

Filtered

1 candidates to 0 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: 3.5b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
1.9b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.4b	(/ (* z (sqrt (+ t a))) t)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

506×	`frac-sub`
192×	`frac-times`
174×	`associate-*r/`
159×	`flip3-+` `flip-+`
129×	`flip3--` `flip--`
98×	`associate-/r*`
90×	`*-commutative`
88×	`frac-2neg` `clear-num`
78×	`sqrt-div` `associate-/l/` `associate-/l*`
16×	`associate-*l/`
8×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `associate--r+`
5×	`sub-neg` `div-inv`
4×	`+-commutative`
2×	`prod-diff`
1×	`fma-neg`

Counts

4 → 340

Calls

4 calls:

3.0ms	(/ 2.0 (* t 3.0))
10.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
30.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.0ms	(/ (* z (sqrt (+ t a))) t)

series334.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
63.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
179.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
75.0ms	(/ (* z (sqrt (+ t a))) t)

simplify154.0ms

Algorithm

egg-herbie

Counts

352 → 352

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5001	13606

prune3.2s

Filtered

352 candidates to 342 candidates (97.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	349	3	352
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	3	353

Merged error: 0.2b

Counts

353 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
1.9b	(- (/ (sqrt (+ t a)) (/ t z)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.5b	(/ (sqrt (+ t a)) (/ t z))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

438×	`frac-sub`
168×	`frac-times`
144×	`flip3-+` `flip-+`
125×	`associate-/r*`
113×	`flip3--` `flip--`
86×	`frac-2neg` `clear-num`
84×	`associate-*r/`
78×	`sqrt-div` `associate-/l/`
48×	`*-commutative`
44×	`div-inv`
14×	`associate-*l/`
12×	`associate-/r/`
8×	`distribute-rgt-in` `distribute-lft-in` `prod-diff` `associate--l+` `associate--r+`
5×	`sub-neg`
4×	`+-commutative` `fma-neg`

Counts

4 → 313

Calls

4 calls:

3.0ms	(/ 2.0 (* t 3.0))
10.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
26.0ms	(- (/ (sqrt (+ t a)) (/ t z)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.0ms	(/ (sqrt (+ t a)) (/ t z))

series359.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
63.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
203.0ms	(- (/ (sqrt (+ t a)) (/ t z)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
76.0ms	(/ (sqrt (+ t a)) (/ t z))

simplify201.0ms

Algorithm

egg-herbie

Counts

325 → 325

Iterations

Useful iterations: 1 (90.0ms)

Iter	Nodes	Cost
0	4776	12241
1	5001	12132

prune3.0s

Filtered

325 candidates to 308 candidates (94.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	324	1	325
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	325	3	328

Merged error: 0.2b

Counts

328 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ t a)) (- t))
0.3b	(/ 2.0 (* t 3.0))
0.3b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
2.8b	(fma (/ (sqrt (+ t a)) (- t)) (- z) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

30×	`frac-sub`
24×	`frac-times`
16×	`flip3--` `flip3-+` `flip--` `flip-+`
15×	`associate-/r*`
12×	`associate-*r/`
8×	`frac-2neg` `clear-num` `*-commutative`
4×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
2×	`+-commutative` `sub-neg` `sqrt-div` `associate-*l/` `div-inv` `associate-/l/`
1×	`neg-mul-1` `fma-udef`

Counts

4 → 59

Calls

4 calls:

4.0ms	(/ (sqrt (+ t a)) (- t))
3.0ms	(/ 2.0 (* t 3.0))
10.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
1.0ms	(fma (/ (sqrt (+ t a)) (- t)) (- z) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (sqrt (+ t a)) (- t))
17.0ms	(/ 2.0 (* t 3.0))
61.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
225.0ms	(fma (/ (sqrt (+ t a)) (- t)) (- z) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify79.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	643	1021
1	3110	987
2	5001	975

prune484.0ms

Filtered

71 candidates to 61 candidates (85.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	3	74

Merged error: 0.2b

Counts

74 → 3

localize41.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0)))
6.9b	(- (* z (* (- a (/ 5.0 6.0)) (- (* t 3.0)))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0))) (* (- a (/ 5.0 6.0)) (- 2.0))))))
7.2b	(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0))) (* (- a (/ 5.0 6.0)) (- 2.0)))))
26.4b	(/ (- (* z (* (- a (/ 5.0 6.0)) (- (* t 3.0)))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0))) (* (- a (/ 5.0 6.0)) (- 2.0)))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (- (* t 3.0)))))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

880×	`associate-*l/`
613×	`flip3--` `flip--`
572×	`frac-sub`
554×	`associate-*r/`
546×	`frac-times`
459×	`prod-diff`
447×	`*-commutative`
445×	`associate-r`
420×	`distribute-rgt-in` `distribute-lft-in`
280×	`associate--r+`
181×	`associate-l`
178×	`neg-mul-1`
168×	`associate-/l/`
148×	`difference-of-squares`
141×	`div-sub`
109×	`frac-2neg` `clear-num`
92×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
33×	`associate-/r/`
22×	`sqrt-div`
13×	`sub-neg`
12×	`associate-/r*` `div-inv`
11×	`flip3-+` `flip-+`
9×	`fma-neg`
1×	`distribute-rgt-neg-out`

Counts

4 → 959

Calls

4 calls:

10.0ms	(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0)))
59.0ms	(- (* z (* (- a (/ 5.0 6.0)) (- (* t 3.0)))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0))) (* (- a (/ 5.0 6.0)) (- 2.0))))))
39.0ms	(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0))) (* (- a (/ 5.0 6.0)) (- 2.0)))))
103.0ms	(/ (- (* z (* (- a (/ 5.0 6.0)) (- (* t 3.0)))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0))) (* (- a (/ 5.0 6.0)) (- 2.0)))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (- (* t 3.0)))))

series2.3s

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0)))
847.0ms	(- (* z (* (- a (/ 5.0 6.0)) (- (* t 3.0)))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0))) (* (- a (/ 5.0 6.0)) (- 2.0))))))
292.0ms	(* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0))) (* (- a (/ 5.0 6.0)) (- 2.0)))))
1.1s	(/ (- (* z (* (- a (/ 5.0 6.0)) (- (* t 3.0)))) (* (/ t (sqrt (+ t a))) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (* t 3.0))) (* (- a (/ 5.0 6.0)) (- 2.0)))))) (* (/ t (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (- (* t 3.0)))))

simplify473.0ms

Algorithm

egg-herbie

Counts

971 → 971

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5002	50074

prune10.0s

Filtered

971 candidates to 837 candidates (86.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	970	1	971
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	971	3	974

Merged error: 0b

Counts

974 → 3

regimes249.0ms

Accuracy

0% (1.4b remaining)

Error of 2.2b against oracle of 0.8b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	19
1	43	19
2	43	19

end0.0ms

sample2.0s

Algorithm

intervals

Results

662.0ms	8000×	body	80	valid
628.0ms	8019×	body	80	nan