Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

386×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (19.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3

prune13.0ms

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 1 expressions with local error:

2.4b	(fma (fma a b y) z (fma a t 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 (fma a b y) z (fma a t x))

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(fma (fma a b y) z (fma a t x))

simplify67.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	44	58
1	93	51
2	307	49
3	2032	49
4	5002	49

prune57.0ms

Filtered

13 candidates to 12 candidates (92.3%)

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma (fma a b y) z (fma a t x))) (cbrt (fma (fma a b y) z (fma a t x))))
2.4b	(fma (fma a b y) z (fma a t x))
2.4b	(fma (fma a b y) z (fma a t x))
2.4b	(fma (fma a b y) z (fma a t x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (fma (fma a b y) z (fma a t x))) (cbrt (fma (fma a b y) z (fma a t x))))
1.0ms	(fma (fma a b y) z (fma a t x))
1.0ms	(fma (fma a b y) z (fma a t x))
1.0ms	(fma (fma a b y) z (fma a t x))

series712.0ms

Counts

4 → 12

Calls

4 calls:

423.0ms	(* (cbrt (fma (fma a b y) z (fma a t x))) (cbrt (fma (fma a b y) z (fma a t x))))
95.0ms	(fma (fma a b y) z (fma a t x))
97.0ms	(fma (fma a b y) z (fma a t x))
97.0ms	(fma (fma a b y) z (fma a t x))

simplify88.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	196	642
1	691	583
2	3148	516
3	5001	509

prune313.0ms

Filtered

84 candidates to 66 candidates (78.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
7.4b	(* (* a z) b)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 57

Calls

3 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* (* a z) b)

series170.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
48.0ms	(+ (+ x (* y z)) (* t a))
32.0ms	(* (* a z) b)

simplify56.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	298	352
1	1535	295
2	5001	285

prune213.0ms

Filtered

66 candidates to 51 candidates (77.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
0.0b	(+ (+ x (* y z)) (* t a))
5.5b	(* a (* z b))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-r` `*-commutative`

Counts

3 → 57

Calls

3 calls:

9.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
5.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(* a (* z b))

series172.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
53.0ms	(+ (+ x (* y z)) (* t a))
28.0ms	(* a (* z b))

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	286	351
1	1309	294
2	5001	284

prune201.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

regimes226.0ms

Accuracy

87.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.4b

bsearch123.0ms

Steps

Iters	Range		Point
10	1.3745571897142734e-118	9.131830933029053e-100	2.882103223667287e-106
9	-6.431558208262041e+28	-5.336323348079087e+20	-7.706728458325138e+20

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	10
1	32	10

end0.0ms

sample883.0ms

Algorithm

intervals

Results

470.0ms

11765×

body

valid