Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

347×

body

valid

simplify45.0ms

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

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:

2.0b	(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 (5.0ms)

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

prune43.0ms

Filtered

13 candidates to 10 candidates (76.9%)

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

series308.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (fma (/ y a) (- z t) x))
45.0ms	(fma (/ y a) (- z t) x)
41.0ms	(fma (/ y a) (- z t) x)
45.0ms	(fma (/ y a) (- z t) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1048	260
3	5001	255

prune151.0ms

Filtered

55 candidates to 44 candidates (80.0%)

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

series171.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (/ y a) (- z t) x)
44.0ms	(fma (/ y a) (- z t) x)
41.0ms	(fma (/ y a) (- z t) x)
45.0ms	(fma (/ y a) (- z t) x)

simplify43.0ms

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

prune166.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
8.8b	(/ (* y (- z t)) a)

rewrite22.0ms

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:

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

series148.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* y (- z t))
50.0ms	(+ x (/ (* y (- z t)) a))
59.0ms	(/ (* y (- z t)) a)

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

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

prune134.0ms

Filtered

97 candidates to 56 candidates (57.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	2	0	2
Picked	1	0	1
Done	2	1	3
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

regimes193.0ms

Accuracy

68.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.6b

bsearch92.0ms

Steps

Iters	Range		Point
10	3.443827461722442e-74	3.328521043133734e-63	3.285289901381684e-63
10	-1.3002308350545781e+28	-231497043631887.72	-3.247655881488685e+16

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

end0.0ms

sample660.0ms

Algorithm

intervals

Results

319.0ms

10711×

body

valid