Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

285×

body

valid

simplify87.0ms

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: 0.8b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.7b	(fma y (/ (- z t) (- z a)) x)

rewrite12.0ms

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:

9.0ms	(/ (- z t) (- z a))
1.0ms	(fma y (/ (- z t) (- z a)) x)

series128.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- z t) (- z a))
79.0ms	(fma y (/ (- z t) (- z a)) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

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

prune178.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	5	71

Merged error: 0.2b

Counts

71 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (- z a) (- z t)))
0.7b	(fma y (/ 1 (/ (- z a) (- z t))) x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

9.0ms	(/ (- z a) (- z t))
17.0ms	(/ 1 (/ (- z a) (- z t)))
1.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)

series243.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- z a) (- z t))
102.0ms	(/ 1 (/ (- z a) (- z t)))
93.0ms	(fma y (/ 1 (/ (- z a) (- z t))) x)

simplify89.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	624	1890
1	2773	1707
2	5003	1538

prune346.0ms

Filtered

223 candidates to 105 candidates (47.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	223	5	228

Merged error: 0.2b

Counts

228 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
1.6b	(/ y (/ (- z a) (- z t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

9.0ms	(/ (- z a) (- z t))
13.0ms	(/ y (/ (- z a) (- z t)))

series178.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- z a) (- z t))
130.0ms	(/ y (/ (- z a) (- z t)))

simplify93.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	639	1797
1	2867	1744
2	5001	1741

prune447.0ms

Filtered

204 candidates to 137 candidates (67.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	204	5	209

Merged error: 0b

Counts

209 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
8.9b	(* (/ y (- z a)) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 109

Calls

2 calls:

6.0ms	(/ y (- z a))
14.0ms	(* (/ y (- z a)) (- z t))

series156.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- z a))
126.0ms	(* (/ y (- z a)) (- z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	473	835
1	1935	671
2	5001	665

prune208.0ms

Filtered

115 candidates to 74 candidates (64.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	115	5	120

Merged error: 0b

Counts

120 → 5

regimes159.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample610.0ms

Algorithm

intervals

Results

337.0ms

8700×

body

valid