Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

354×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (21.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	71	4
3	160	4
4	274	4
5	462	4
6	727	4
7	891	3
8	1083	3
9	1216	3
10	1269	3
11	1269	3

prune6.0ms

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y a) (- t z) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(fma (/ y a) (- t z) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1308	53
4	5001	53

prune35.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y a) (- t z) x))
2.2b	(fma (/ y a) (- t z) x)
2.2b	(fma (/ y a) (- t z) x)
2.2b	(fma (/ y a) (- t z) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y a) (- t z) x))
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series300.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (fma (/ y a) (- t z) x))
42.0ms	(fma (/ y a) (- t z) x)
40.0ms	(fma (/ y a) (- t z) x)
43.0ms	(fma (/ y a) (- t z) x)

simplify32.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1046	260
3	5002	255

prune157.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	55	5	60

Merged error: 0.0b

Counts

60 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

2.2b	(fma (/ y a) (- t z) x)
2.2b	(fma (/ y a) (- t z) x)
2.2b	(fma (/ y a) (- t z) x)
2.2b	(fma (/ y a) (- t z) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series165.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma (/ y a) (- t z) x)
39.0ms	(fma (/ y a) (- t z) x)
42.0ms	(fma (/ y a) (- t z) x)
40.0ms	(fma (/ y a) (- t z) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	272	212
3	1308	212
4	5001	212

prune179.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(- x (/ (* y (- z t)) a))
6.5b	(/ (* y (- z t)) a)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt` `prod-diff`
37×	`*-un-lft-identity`
33×	`add-cube-cbrt`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/` `div-inv`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `associate-l` `associate-/r*` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 111

Calls

3 calls:

7.0ms	(* y (- z t))
5.0ms	(- x (/ (* y (- z t)) a))
8.0ms	(/ (* y (- z t)) a)

series133.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* y (- z t))
46.0ms	(- x (/ (* y (- z t)) a))
50.0ms	(/ (* y (- z t)) a)

simplify65.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	505	1133
1	2195	751
2	5001	747

prune200.0ms

Filtered

120 candidates to 64 candidates (53.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	114	6	120
Fresh	2	0	2
Picked	1	0	1
Done	1	1	2
Total	118	7	125

Merged error: 0b

Counts

125 → 7

regimes311.0ms

Accuracy

55.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.2b

bsearch87.0ms

Steps

Iters	Range		Point
9	1.5559357990650768e-103	4.861630376334293e-95	4.779032146553892e-95
9	-1.5414983808378942e-13	-8.904157490429913e-19	-1.3926733193756758e-17

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	9
1	26	9

end0.0ms

sample617.0ms

Algorithm

intervals

Results

301.0ms

10619×

body

valid