Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

351×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4466	3
14	5001	3

prune6.0ms

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 2 expressions with local error:

0.0b	(/ (- y x) t)
6.0b	(fma (/ (- y x) t) z x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

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

series62.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- y x) t)
36.0ms	(fma (/ (- y x) t) z x)

simplify43.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	194	271
1	528	254
2	1881	245
3	5002	245

prune119.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- y x))
0.2b	(/ 1 (/ t (- y x)))
6.0b	(fma (/ 1 (/ t (- y x))) z x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 159

Calls

3 calls:

5.0ms	(/ t (- y x))
11.0ms	(/ 1 (/ t (- y x)))
1.0ms	(fma (/ 1 (/ t (- y x))) z x)

series92.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ t (- y x))
31.0ms	(/ 1 (/ t (- y x)))
30.0ms	(fma (/ 1 (/ t (- y x))) z x)

simplify51.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	476	1139
1	2102	1012
2	5002	885

prune259.0ms

Filtered

168 candidates to 88 candidates (52.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	168	6	174

Merged error: 0.0b

Counts

174 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ z (/ t (- y x))) x)
0.0b	(/ t (- y x))
6.2b	(/ z (/ t (- y x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
172×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
68×	`fma-def`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 225

Calls

3 calls:

30.0ms	(+ (/ z (/ t (- y x))) x)
5.0ms	(/ t (- y x))
9.0ms	(/ z (/ t (- y x)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (/ z (/ t (- y x))) x)
27.0ms	(/ t (- y x))
55.0ms	(/ z (/ t (- y x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	550	1177
1	2393	1131
2	5001	1125

prune546.0ms

Filtered

234 candidates to 186 candidates (79.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	231	3	234
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	234	6	240

Merged error: 0.0b

Counts

240 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y x))
0.0b	(+ (/ (/ z t) (/ 1 (- y x))) x)
8.1b	(/ (/ z t) (/ 1 (- y x)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

1353×	`times-frac`
730×	`*-un-lft-identity`
728×	`add-sqr-sqrt`
558×	`add-cube-cbrt`
278×	`fma-def`
85×	`distribute-lft-out--` `difference-of-squares`
73×	`div-inv`
58×	`associate-/r/`
29×	`add-exp-log`
28×	`flip3--` `flip--`
26×	`associate-/r*`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

3 → 668

Calls

3 calls:

6.0ms	(/ 1 (- y x))
98.0ms	(+ (/ (/ z t) (/ 1 (- y x))) x)
16.0ms	(/ (/ z t) (/ 1 (- y x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- y x))
32.0ms	(+ (/ (/ z t) (/ 1 (- y x))) x)
60.0ms	(/ (/ z t) (/ 1 (- y x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

677 → 677

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1715	4284
1	5001	3895

prune1.5s

Filtered

677 candidates to 449 candidates (66.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	675	2	677
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	677	6	683

Merged error: 0b

Counts

683 → 6

regimes100.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample545.0ms

Algorithm

intervals

Results

283.0ms

10719×

body

valid