Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

280×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.5b	(fma y (/ (- z t) (- z a)) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

13.0ms	(/ (- z t) (- z a))
1.0ms	(fma y (/ (- z t) (- z a)) x)

series123.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- z t) (- z a))
74.0ms	(fma y (/ (- z t) (- z a)) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	260	433
1	705	410
2	2411	410
3	5001	410

prune183.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Merged error: 0.2b

Counts

71 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- z a))
0.0b	(/ z (- z a))
0.5b	(fma y (- (/ z (- z a)) (/ t (- z a))) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
23×	`add-cube-cbrt`
10×	`associate-/r*`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`fma-udef`

Counts

3 → 88

Calls

3 calls:

6.0ms	(/ t (- z a))
6.0ms	(/ z (- z a))
1.0ms	(fma y (- (/ z (- z a)) (/ t (- z a))) x)

series182.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ t (- z a))
46.0ms	(/ z (- z a))
103.0ms	(fma y (- (/ z (- z a)) (/ t (- z a))) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	247	485
1	730	453
2	2126	453
3	5001	453

prune242.0ms

Filtered

97 candidates to 72 candidates (74.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	97	7	104

Merged error: 0.2b

Counts

104 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
0.5b	(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

6.0ms	(/ 1 (- z a))
15.0ms	(* (- z t) (/ 1 (- z a)))
3.0ms	(fma y (* (- z t) (/ 1 (- z a))) x)

series172.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ 1 (- z a))
42.0ms	(* (- z t) (/ 1 (- z a)))
72.0ms	(fma y (* (- z t) (/ 1 (- z a))) x)

simplify66.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	337	585
1	1465	510
2	5001	468

prune223.0ms

Filtered

114 candidates to 68 candidates (59.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	114	7	121

Merged error: 0.2b

Counts

121 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.2b	(pow (/ (- z t) (- z a)) 3)
0.5b	(fma y (cbrt (pow (/ (- z t) (- z a)) 3)) x)
16.7b	(cbrt (pow (/ (- z t) (- z a)) 3))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

166×	`add-sqr-sqrt` `*-un-lft-identity`
125×	`times-frac`
68×	`cbrt-prod`
62×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
52×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`pow1` `associate-/r` `div-inv` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `rem-cbrt-cube` `fma-udef`

Counts

4 → 228

Calls

4 calls:

10.0ms	(/ (- z t) (- z a))
11.0ms	(pow (/ (- z t) (- z a)) 3)
1.0ms	(fma y (cbrt (pow (/ (- z t) (- z a)) 3)) x)
13.0ms	(cbrt (pow (/ (- z t) (- z a)) 3))

series358.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (- z t) (- z a))
184.0ms	(pow (/ (- z t) (- z a)) 3)
79.0ms	(fma y (cbrt (pow (/ (- z t) (- z a)) 3)) x)
48.0ms	(cbrt (pow (/ (- z t) (- z a)) 3))

simplify103.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	650	1840
1	2695	1728
2	5003	1706

prune421.0ms

Filtered

240 candidates to 112 candidates (46.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	240	7	247

Merged error: 0.2b

Counts

247 → 7

regimes230.0ms

Accuracy

0% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6

end0.0ms

sample548.0ms

Algorithm

intervals

Results

281.0ms	8719×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid