Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

325×

body

valid

simplify47.0ms

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

prune7.0ms

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:

2.8b	(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)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

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

prune29.0ms

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: 0.0b

Counts

15 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.9b	(/ (* y (- z t)) a)

rewrite26.0ms

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:

5.0ms	(+ x (/ (* y (- z t)) a))
10.0ms	(* y (- z t))
8.0ms	(/ (* y (- z t)) a)

series130.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (/ (* y (- z t)) a))
39.0ms	(* y (- z t))
45.0ms	(/ (* y (- z t)) a)

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

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

prune147.0ms

Filtered

97 candidates to 56 candidates (57.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	95	6	101

Merged error: 0.0b

Counts

101 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
7.2b	(/ y (/ a (- z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 160

Calls

3 calls:

18.0ms	(+ x (/ y (/ a (- z t))))
5.0ms	(/ a (- z t))
8.0ms	(/ y (/ a (- z t)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ x (/ y (/ a (- z t))))
27.0ms	(/ a (- z t))
54.0ms	(/ y (/ a (- z t)))

simplify64.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	559	1174
1	2417	1128
2	5002	1122

prune337.0ms

Filtered

169 candidates to 130 candidates (76.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	169	6	175

Merged error: 0b

Counts

175 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ a (- z t)) y)))
0.0b	(/ a (- z t))
0.5b	(/ 1 (/ (/ a (- z t)) y))
7.1b	(/ (/ a (- z t)) y)

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
444×	`*-un-lft-identity`
441×	`add-sqr-sqrt`
337×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r/`
32×	`add-exp-log`
27×	`associate-/l*`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `fma-def` `frac-2neg` `1-exp` `clear-num`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

4 → 459

Calls

4 calls:

50.0ms	(+ x (/ 1 (/ (/ a (- z t)) y)))
5.0ms	(/ a (- z t))
18.0ms	(/ 1 (/ (/ a (- z t)) y))
10.0ms	(/ (/ a (- z t)) y)

series183.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (/ 1 (/ (/ a (- z t)) y)))
27.0ms	(/ a (- z t))
50.0ms	(/ 1 (/ (/ a (- z t)) y))
59.0ms	(/ (/ a (- z t)) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

471 → 471

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1493	4613
1	5001	3776

prune682.0ms

Filtered

471 candidates to 253 candidates (53.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	471	0	471
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	471	6	477

Merged error: 0b

Counts

477 → 6

regimes320.0ms

Accuracy

84.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms

sample667.0ms

Algorithm

intervals

Results

353.0ms

10626×

body

valid