Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

285×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune11.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	40	72
1	92	63
2	272	63
3	1084	63
4	5001	63

prune41.0ms

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: 0.1b

Counts

15 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ y (- z a)) (- z t) x))
2.4b	(fma (/ y (- z a)) (- z t) x)
2.4b	(fma (/ y (- z a)) (- z t) x)
2.4b	(fma (/ y (- z 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 (- z a)) (- z t) x))
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)

series492.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (fma (/ y (- z a)) (- z t) x))
79.0ms	(fma (/ y (- z a)) (- z t) x)
83.0ms	(fma (/ y (- z a)) (- z t) x)
86.0ms	(fma (/ y (- z a)) (- z t) x)

simplify75.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (62.0ms)

Iter	Nodes	Cost
0	82	333
1	161	295
2	453	293
3	1792	290
4	5003	287

prune177.0ms

Filtered

55 candidates to 50 candidates (90.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

2.4b	(fma (/ y (- z a)) (- z t) x)
2.4b	(fma (/ y (- z a)) (- z t) x)
2.4b	(fma (/ y (- z a)) (- z t) x)
2.4b	(fma (/ y (- z 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 (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)

series310.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma (/ y (- z a)) (- z t) x)
79.0ms	(fma (/ y (- z a)) (- z t) x)
78.0ms	(fma (/ y (- z a)) (- z t) x)
74.0ms	(fma (/ y (- z a)) (- z t) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	40	288
1	92	252
2	272	252
3	1084	252
4	5001	252

prune221.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	52	7	59

Merged error: 0.0b

Counts

59 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
10.9b	(/ (* y (- z t)) (- z a))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

7.0ms	(* y (- z t))
15.0ms	(/ (* y (- z t)) (- z a))

series113.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* y (- z t))
69.0ms	(/ (* y (- z t)) (- z a))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	350	543
1	1606	380
2	5001	380

prune126.0ms

Filtered

83 candidates to 46 candidates (55.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0b

Counts

90 → 6

regimes442.0ms

Accuracy

37.9% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.5b

bsearch85.0ms

Steps

Iters	Range		Point
9	9.917100192257252e-90	3.3242143547992065e-80	8.25686923738433e-81
8	-1.5479713170644658e-66	-1.772089544746266e-70	-5.014513524262091e-70

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	14
1	25	14

end0.0ms

sample587.0ms

Algorithm

intervals

Results

325.0ms

8746×

body

valid