Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

332×

body

valid

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (25.0ms)

Iter	Nodes	Cost
0	25	8
1	50	8
2	106	8
3	208	8
4	322	6
5	520	6
6	1439	6
7	5002	6

prune18.0ms

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: 7.8b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
7.9b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

316×	`*-un-lft-identity`
207×	`frac-add`
189×	`associate-/r*`
183×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
139×	`associate-l`
129×	`associate-/l*`
97×	`times-frac`
81×	`distribute-lft-out`
56×	`associate-r`
33×	`frac-2neg` `clear-num`
20×	`associate-/l/` `unswap-sqr`
18×	`prod-diff` `*-commutative`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
8×	`pow1`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `div-inv`
1×	`+-commutative` `flip3--` `sum-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 409

Calls

3 calls:

72.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
15.0ms	(* (* z 2.0) (- 1.0 t))
25.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series217.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
57.0ms	(* (* z 2.0) (- 1.0 t))
90.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify181.0ms

Algorithm

egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 1 (107.0ms)

Iter	Nodes	Cost
0	2488	5690
1	5001	5345

prune759.0ms

Filtered

418 candidates to 229 candidates (54.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	412	6	418
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	414	6	420

Merged error: 0b

Counts

420 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 (/ 1 t)) 2.0)
0.0b	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0b	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.3b	(/ 1 (* t z))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
98×	`add-cube-cbrt`
91×	`times-frac`
72×	`prod-diff`
64×	`associate-r`
27×	`associate-l`
24×	`fma-neg`
19×	`unswap-sqr`
15×	`add-exp-log`
13×	`fma-def`
12×	`associate-/r*`
9×	`*-commutative` `add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`div-inv`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`prod-exp` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `fma-udef`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 231

Calls

4 calls:

20.0ms	(- (* 2.0 (/ 1 t)) 2.0)
9.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
1.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
16.0ms	(/ 1 (* t z))

series194.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* 2.0 (/ 1 t)) 2.0)
79.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
53.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
19.0ms	(/ 1 (* t z))

simplify131.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	673	1935
1	2481	1273
2	5001	1139

prune391.0ms

Filtered

243 candidates to 119 candidates (49.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	240	3	243
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	244	5	249

Merged error: 0b

Counts

249 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 (/ 1 t)) 2.0)
0.0b	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
0.0b	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
0.2b	(/ (/ 1 t) z)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-sqr-sqrt`
130×	`times-frac`
127×	`*-un-lft-identity`
117×	`add-cube-cbrt`
72×	`prod-diff`
52×	`associate-r`
24×	`fma-neg`
16×	`associate-/l*`
15×	`associate-l` `unswap-sqr`
13×	`add-exp-log` `fma-def`
10×	`div-inv`
9×	`add-cbrt-cube` `associate-/l/`
8×	`add-log-exp`
6×	`div-exp` `associate-/r*`
5×	`*-commutative`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`+-commutative` `sub-neg` `rec-exp` `associate-+r+` `flip3--` `distribute-rgt-out--` `flip3-+` `diff-log` `1-exp` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 239

Calls

4 calls:

20.0ms	(- (* 2.0 (/ 1 t)) 2.0)
9.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
1.0ms	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
10.0ms	(/ (/ 1 t) z)

series192.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* 2.0 (/ 1 t)) 2.0)
79.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
55.0ms	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
19.0ms	(/ (/ 1 t) z)

simplify123.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	763	2050
1	2788	1367
2	5002	1237

prune404.0ms

Filtered

251 candidates to 130 candidates (51.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	250	1	251
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	251	5	256

Merged error: 0b

Counts

256 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 (/ 1 t)) 2.0)
0.0b	(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
0.0b	(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
0.2b	(/ (/ 1 z) t)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-sqr-sqrt`
130×	`times-frac`
127×	`*-un-lft-identity`
117×	`add-cube-cbrt`
72×	`prod-diff`
52×	`associate-r`
24×	`fma-neg`
16×	`associate-/l*`
15×	`associate-l` `unswap-sqr`
13×	`add-exp-log` `fma-def`
10×	`div-inv`
9×	`add-cbrt-cube` `associate-/l/`
8×	`add-log-exp`
6×	`div-exp` `associate-/r*`
5×	`*-commutative`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`+-commutative` `sub-neg` `rec-exp` `associate-+r+` `flip3--` `distribute-rgt-out--` `flip3-+` `diff-log` `1-exp` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 239

Calls

4 calls:

28.0ms	(- (* 2.0 (/ 1 t)) 2.0)
9.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
1.0ms	(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms	(/ (/ 1 z) t)

series177.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* 2.0 (/ 1 t)) 2.0)
63.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
50.0ms	(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
13.0ms	(/ (/ 1 z) t)

simplify144.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 2 (120.0ms)

Iter	Nodes	Cost
0	783	2043
1	2781	1375
2	5001	1248

prune403.0ms

Filtered

251 candidates to 131 candidates (52.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	251	5	256

Merged error: 0b

Counts

256 → 5

regimes162.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample703.0ms

Algorithm

intervals

Results

431.0ms

10432×

body

valid