Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

335×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (23.0ms)

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

prune8.0ms

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

2.0b	(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)

simplify43.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1307	53
4	5003	53

prune28.0ms

Filtered

13 candidates to 10 candidates (23.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y a) (- t z) x))
2.0b	(fma (/ y a) (- t z) x)
2.0b	(fma (/ y a) (- t z) x)
2.0b	(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)

series330.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt (fma (/ y a) (- t z) x))
47.0ms	(fma (/ y a) (- t z) x)
42.0ms	(fma (/ y a) (- t z) x)
45.0ms	(fma (/ y a) (- t z) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1046	260
3	5001	255

prune118.0ms

Filtered

55 candidates to 44 candidates (20.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	53	6	59

Merged error: 0.0b

Counts

59 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ y a) (- t z) x)
2.0b	(fma (/ y a) (- t z) x)
2.0b	(fma (/ y a) (- t z) x)
2.0b	(fma (/ y a) (- t z) x)

rewrite4.0ms

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)

series180.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (/ y a) (- t z) x)
46.0ms	(fma (/ y a) (- t z) x)
44.0ms	(fma (/ y a) (- t z) x)
46.0ms	(fma (/ y a) (- t z) x)

simplify47.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	272	212
3	1307	212
4	5003	212

prune140.0ms

Filtered

52 candidates to 40 candidates (23.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
7.3b	(/ (* y (- z t)) a)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
43×	`add-cube-cbrt`
42×	`times-frac`
25×	`associate-r`
18×	`prod-diff`
15×	`associate-l`
14×	`associate-/l*`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`pow1` `associate-*r/`
3×	`associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 123

Calls

2 calls:

7.0ms	(* y (- z t))
13.0ms	(/ (* y (- z t)) a)

series91.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* y (- z t))
54.0ms	(/ (* y (- z t)) a)

simplify59.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	475	859
1	2045	696
2	5001	696

prune171.0ms

Filtered

129 candidates to 80 candidates (38.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	2	0	2
Picked	1	0	1
Done	2	1	3
Total	130	5	135

Merged error: 0b

Counts

135 → 5

regimes206.0ms

Accuracy

74.1% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.5b

bsearch86.0ms

Steps

Iters	Range		Point
8	1.4965109565208057e-27	4.8809637494531754e-23	3.747021004019891e-26
10	-1.2745855388170935e+40	-6.252082536157442e+29	-3.591353045210928e+32

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8

end0.0ms

sample606.0ms

Algorithm

intervals

Results

298.0ms

10668×

body

valid