Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

297×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (15.0ms)

Iter	Nodes	Cost
0	16	3
1	24	3
2	38	3
3	45	3
4	53	3
5	57	3
6	67	3
7	309	2
8	2125	2
9	5001	2

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

localize5.0ms

Local error

Found 1 expressions with local error:

4.3b	(fma (/ y z) x 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 z) x x)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma (/ y z) x x)

simplify159.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	26	44
1	62	39
2	205	39
3	849	39
4	4785	39
5	5001	39

prune34.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y z) x x))
4.3b	(fma (/ y z) x x)
4.3b	(fma (/ y z) x x)
4.3b	(fma (/ y z) x x)

rewrite5.0ms

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 z) x x))
1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)

series203.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (fma (/ y z) x x))
26.0ms	(fma (/ y z) x x)
25.0ms	(fma (/ y z) x x)
29.0ms	(fma (/ y z) x x)

simplify132.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	102	227
1	252	205
2	978	202
3	4867	197
4	5001	197

prune141.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

4.3b	(fma (/ y z) x x)
4.3b	(fma (/ y z) x x)
4.3b	(fma (/ y z) x x)
4.3b	(fma (/ y z) x 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 z) x x)
1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)

series106.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(fma (/ y z) x x)
25.0ms	(fma (/ y z) x x)
29.0ms	(fma (/ y z) x x)
27.0ms	(fma (/ y z) x x)

simplify160.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	26	176
1	62	156
2	205	156
3	849	156
4	4785	156
5	5001	156

prune160.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

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

Merged error: 0.0b

Counts

58 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
11.6b	(/ (* x (+ y z)) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`times-frac`
30×	`add-cube-cbrt`
20×	`associate-r`
15×	`associate-l`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`*-commutative` `distribute-lft-out` `unswap-sqr`
4×	`pow1` `associate-*r/`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 100

Calls

2 calls:

6.0ms	(* x (+ y z))
10.0ms	(/ (* x (+ y z)) z)

series62.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
38.0ms	(/ (* x (+ y z)) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	363	556
1	1661	527
2	5002	524

prune179.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	2	0	2
Picked	1	0	1
Done	2	1	3
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes78.0ms

Accuracy

35% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 4.6b

bsearch55.0ms

Steps

Iters	Range		Point
8	1.6326587951012939e-88	4.052839973452317e-84	4.3585902413757015e-87
8	-3.255789293234255e-54	-1.0114661395850147e-56	-1.9851351852842985e-54

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	7
1	25	7
2	25	7

end0.0ms

sample398.0ms

Algorithm

intervals

Results

202.0ms

9636×

body

valid