Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	229×	body	80	nan

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	7
1	41	6
2	69	6
3	95	6
4	125	6
5	140	6
6	142	6
7	142	6

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.0b	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
2×	`associate-/l/`
1×	`flip3--` `div-sub` `associate-/r*` `flip--` `fma-udef`

Counts

3 → 14

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
2.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
4.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series163.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
45.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
77.0ms	(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	157	127
1	435	119
2	1782	108
3	5002	104

prune53.0ms

Filtered

23 candidates to 19 candidates (82.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
0.0b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/l/`
6×	`div-inv`
4×	`frac-2neg` `clear-num`
3×	`div-sub` `associate-/r/`
2×	`flip3--` `flip--`
1×	`times-frac` `associate-/r` `fma-udef` `associate-/l`

Counts

3 → 22

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
5.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
3.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
79.0ms	(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
72.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify30.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	197	193
1	801	171
2	5001	160

prune69.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	31	4	35

Merged error: 0b

Counts

35 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
0.0b	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-/r/`
8×	`clear-num`
7×	`associate-/l/`
6×	`frac-2neg` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`remove-double-div`
1×	`associate-/r*` `fma-udef` `inv-pow`

Counts

4 → 31

Calls

4 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
3.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
5.0ms	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
4.0ms	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

series260.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
71.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
76.0ms	(/ 1 (/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0))
77.0ms	(/ (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)) 6.0)

simplify73.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	192	216
1	548	205
2	2514	182
3	5002	176

prune96.0ms

Filtered

43 candidates to 35 candidates (81.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (- (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.0b	(/ (- (- x 1.0)) (/ (- (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`neg-mul-1` `associate-/r/` `div-inv`
3×	`frac-2neg` `clear-num` `associate-/l*`
2×	`neg-sub0` `div-sub` `distribute-frac-neg` `associate-/l/` `distribute-neg-frac`
1×	`flip3--` `times-frac` `associate-/r*` `flip--` `fma-udef`

Counts

3 → 21

Calls

3 calls:

1.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
3.0ms	(/ (- (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
5.0ms	(/ (- (- x 1.0)) (/ (- (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))

series160.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
48.0ms	(/ (- (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
75.0ms	(/ (- (- x 1.0)) (/ (- (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	187	169
1	582	163
2	2384	150
3	5001	146

prune67.0ms

Filtered

30 candidates to 26 candidates (86.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	30	4	34

Merged error: 0b

Counts

34 → 4

regimes17.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample644.0ms

Algorithm

intervals

Results

243.0ms	8000×	body	80	valid
207.0ms	7833×	body	80	nan