Details

sample72.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
19.0ms	288×	body	80	nan

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

prune4.0ms

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: 2.3b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
1.5b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.1b	(/ (* z (sqrt (+ t a))) t)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

476×	`frac-sub`
168×	`frac-times`
164×	`associate-*r/`
145×	`flip3-+` `flip-+`
113×	`flip3--` `flip--`
86×	`associate-/r*`
84×	`*-commutative`
82×	`frac-2neg` `clear-num`
80×	`sqrt-div`
78×	`associate-/l/` `associate-/l*`
14×	`associate-*l/`
8×	`associate--r+`
5×	`div-inv`
4×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
3×	`sub-neg`
2×	`+-commutative` `prod-diff`
1×	`fma-neg`

Counts

4 → 296

Calls

4 calls:

3.0ms	(* z (sqrt (+ t a)))
3.0ms	(/ 2.0 (* t 3.0))
31.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.0ms	(/ (* z (sqrt (+ t a))) t)

series343.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* z (sqrt (+ t a)))
16.0ms	(/ 2.0 (* t 3.0))
178.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
83.0ms	(/ (* z (sqrt (+ t a))) t)

simplify314.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5001	12747

prune2.7s

Filtered

308 candidates to 301 candidates (97.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	305	3	308
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	306	3	309

Merged error: 0.2b

Counts

309 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.3b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
5.0b	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- 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-+`
14×	`associate-r/` `associate-/r`
9×	`*-commutative`
7×	`frac-2neg` `clear-num`
4×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
2×	`+-commutative` `sub-neg` `sqrt-div` `associate-*l/`
1×	`fma-udef` `div-inv`

Counts

4 → 56

Calls

4 calls:

10.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
3.0ms	(* z (sqrt (+ t a)))
3.0ms	(/ 2.0 (* t 3.0))
1.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
62.0ms	(* z (sqrt (+ t a)))
15.0ms	(/ 2.0 (* t 3.0))
196.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify83.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	665	1008
1	3112	972
2	5002	960

prune455.0ms

Filtered

68 candidates to 59 candidates (86.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Merged error: 0.2b

Counts

71 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a c (* 0.8333333333333334 c))
0.3b	(* z (sqrt (+ t a)))
0.5b	(fma a b (- (fma a c (* 0.8333333333333334 c))))
4.6b	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (fma a b (- (fma a c (* 0.8333333333333334 c))))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`fma-udef`
2×	`sqrt-div` `associate-*r/`
1×	`flip3-+` `*-commutative` `flip-+`

Counts

4 → 6

Calls

4 calls:

1.0ms	(fma a c (* 0.8333333333333334 c))
3.0ms	(* z (sqrt (+ t a)))
1.0ms	(fma a b (- (fma a c (* 0.8333333333333334 c))))
1.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (fma a b (- (fma a c (* 0.8333333333333334 c))))))

series286.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma a c (* 0.8333333333333334 c))
59.0ms	(* z (sqrt (+ t a)))
39.0ms	(fma a b (- (fma a c (* 0.8333333333333334 c))))
152.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (fma a b (- (fma a c (* 0.8333333333333334 c))))))

simplify56.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	188	88
1	551	76
2	1882	72
3	5001	68

prune64.0ms

Filtered

18 candidates to 11 candidates (61.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	18	3	21

Merged error: 0.2b

Counts

21 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x (* y (exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 c)))))))
0.0b	(fma a (- c b) (* 0.8333333333333334 c))
0.0b	(* y (exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 c)))))
0.0b	(exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 c))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`fma-udef`
4×	`exp-sum`
2×	`distribute-rgt-in` `exp-prod` `distribute-lft-in` `associate-r` `associate-/r/` `*-commutative`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

4 → 13

Calls

4 calls:

4.0ms	(/ x (+ x (* y (exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 c)))))))
1.0ms	(fma a (- c b) (* 0.8333333333333334 c))
3.0ms	(* y (exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 c)))))
3.0ms	(exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 c))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ x (+ x (* y (exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 c)))))))
34.0ms	(fma a (- c b) (* 0.8333333333333334 c))
56.0ms	(* y (exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 c)))))
41.0ms	(exp (* 2.0 (fma a (- c b) (* 0.8333333333333334 c))))

simplify95.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	125	126
1	298	115
2	871	115
3	2699	115
4	5001	115

prune57.0ms

Filtered

25 candidates to 15 candidates (60.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	25	3	28

Merged error: 0b

Counts

28 → 3

regimes200.0ms

Accuracy

0% (2.1b remaining)

Error of 2.5b against oracle of 0.4b and baseline of 2.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	18
1	46	18
2	46	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

582.0ms	8000×	body	80	valid
556.0ms	8037×	body	80	nan