Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

334×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	49	3
3	97	3
4	155	3
5	202	3
6	241	3
7	304	3
8	436	3
9	592	3
10	990	3
11	1125	3
12	1260	3
13	1260	3

prune7.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (/ y a) (- z 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 (/ y a) (- z t) x)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	271	53
3	1307	53
4	5001	53

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y a) (- z t) x)) (cbrt (fma (/ y a) (- z t) x)))
2.9b	(fma (/ y a) (- z t) x)
2.9b	(fma (/ y a) (- z t) x)
2.9b	(fma (/ y a) (- z t) x)

rewrite9.0ms

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:

5.0ms	(* (cbrt (fma (/ y a) (- z t) x)) (cbrt (fma (/ y a) (- z t) x)))
1.0ms	(fma (/ y a) (- z t) x)
1.0ms	(fma (/ y a) (- z t) x)
1.0ms	(fma (/ y a) (- z t) x)

series423.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(* (cbrt (fma (/ y a) (- z t) x)) (cbrt (fma (/ y a) (- z t) x)))
40.0ms	(fma (/ y a) (- z t) x)
42.0ms	(fma (/ y a) (- z t) x)
40.0ms	(fma (/ y a) (- z t) x)

simplify78.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	183	677
1	652	618
2	2893	532
3	5001	521

prune201.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0.0b

Counts

89 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

2.9b	(fma (/ y a) (- z t) x)
2.9b	(fma (/ y a) (- z t) x)
2.9b	(fma (/ y a) (- z t) x)
2.9b	(fma (/ y a) (- z t) 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) (- z t) x)
1.0ms	(fma (/ y a) (- z t) x)
1.0ms	(fma (/ y a) (- z t) x)
1.0ms	(fma (/ y a) (- z t) x)

series168.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (/ y a) (- z t) x)
45.0ms	(fma (/ y a) (- z t) x)
40.0ms	(fma (/ y a) (- z t) x)
40.0ms	(fma (/ y a) (- z t) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	271	212
3	1307	212
4	5001	212

prune184.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	51	8	59

Merged error: 0.0b

Counts

59 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

5.0ms	(+ x (/ (* y (- z t)) a))
7.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) a)

series132.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (/ (* y (- z t)) a))
38.0ms	(* y (- z t))
48.0ms	(/ (* y (- z t)) a)

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	384	600
1	1632	428
2	5001	420

prune132.0ms

Filtered

97 candidates to 56 candidates (57.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	4	0	4
Picked	0	1	1
Done	1	2	3
Total	99	6	105

Merged error: 0b

Counts

105 → 6

regimes322.0ms

Accuracy

74.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	15
1	23	15

end0.0ms

sample604.0ms

Algorithm

intervals

Results

303.0ms

10705×

body

valid