Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

281×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune9.0ms

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: 1.3b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.3b	(fma y (/ (- z t) (- a t)) x)

rewrite13.0ms

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:

10.0ms	(/ (- z t) (- a t))
1.0ms	(fma y (/ (- z t) (- a t)) x)

series154.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ (- z t) (- a t))
91.0ms	(fma y (/ (- z t) (- a t)) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	256	433
1	704	410
2	2392	410
3	5001	410

prune140.0ms

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	1	0	1
Picked	1	0	1
Done	0	0	0
Total	65	7	72

Merged error: 1.2b

Counts

72 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- a t)) (/ t (- a t)))
0.0b	(/ z (- a t))
0.0b	(/ t (- a t))
1.3b	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

819×	`*-un-lft-identity`
797×	`add-sqr-sqrt`
693×	`times-frac`
459×	`add-cube-cbrt`
441×	`prod-diff`
177×	`distribute-lft-out--`
167×	`difference-of-squares`
138×	`associate-/r*`
121×	`frac-sub`
94×	`associate-/r/`
72×	`associate-/l*`
48×	`flip3--` `flip--`
47×	`div-inv`
26×	`frac-2neg`
24×	`clear-num`
21×	`fma-neg`
13×	`sub-div`
8×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `div-exp`
1×	`sub-neg` `diff-log` `fma-udef`

Counts

4 → 713

Calls

4 calls:

52.0ms	(- (/ z (- a t)) (/ t (- a t)))
6.0ms	(/ z (- a t))
6.0ms	(/ t (- a t))
1.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

series327.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (/ z (- a t)) (/ t (- a t)))
40.0ms	(/ z (- a t))
51.0ms	(/ t (- a t))
156.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

simplify189.0ms

Algorithm

egg-herbie

Counts

725 → 725

Iterations

Useful iterations: 1 (58.0ms)

Iter	Nodes	Cost
0	2161	17563
1	5001	13778

prune1.3s

Filtered

725 candidates to 344 candidates (47.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	722	3	725
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	726	6	732

Merged error: 0.2b

Counts

732 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.3b	(fma y (- (/ z (- a t)) (* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt t) (cbrt (- a t))))) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`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×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

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

series824.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt t)
217.0ms	(cbrt t)
210.0ms	(cbrt t)
186.0ms	(fma y (- (/ z (- a t)) (* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt t) (cbrt (- a t))))) x)

simplify154.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	90	382
1	222	336
2	808	321
3	4342	307
4	5001	307

prune214.0ms

Filtered

61 candidates to 54 candidates (88.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- a t)) (/ 1 (/ (- a t) t)))
0.0b	(/ (- a t) t)
0.5b	(/ 1 (/ (- a t) t))
1.3b	(fma y (- (/ z (- a t)) (/ 1 (/ (- a t) t))) x)

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

3594×	`times-frac`
2999×	`*-un-lft-identity`
2995×	`add-sqr-sqrt`
1938×	`add-cube-cbrt`
1554×	`prod-diff`
530×	`distribute-lft-out--`
522×	`difference-of-squares`
445×	`associate-/r/`
422×	`associate-/r*`
275×	`frac-sub`
235×	`associate-/l*`
177×	`div-inv`
99×	`flip3--` `flip--`
63×	`clear-num`
60×	`frac-2neg`
46×	`associate-/l/`
21×	`fma-neg`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`remove-double-div`
2×	`rec-exp` `1-exp`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `fma-udef` `inv-pow`

Counts

4 → 2054

Calls

4 calls:

130.0ms	(- (/ z (- a t)) (/ 1 (/ (- a t) t)))
7.0ms	(/ (- a t) t)
11.0ms	(/ 1 (/ (- a t) t))
1.0ms	(fma y (- (/ z (- a t)) (/ 1 (/ (- a t) t))) x)

series322.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (/ z (- a t)) (/ 1 (/ (- a t) t)))
37.0ms	(/ (- a t) t)
48.0ms	(/ 1 (/ (- a t) t))
156.0ms	(fma y (- (/ z (- a t)) (/ 1 (/ (- a t) t))) x)

simplify670.0ms

Algorithm

egg-herbie

Counts

2066 → 2066

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5001	72551

prune5.7s

Filtered

2066 candidates to 1253 candidates (60.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	2066	0	2066
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	2066	7	2073

Merged error: 0.0b

Counts

2073 → 7

regimes253.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	17	18

end0.0ms

sample579.0ms

Algorithm

intervals

Results

293.0ms	8745×	body	80	valid
0.0ms	1×	body	320	valid