Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	268×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	6
1	39	5
2	67	5
3	119	5
4	185	5
5	252	5
6	313	5
7	399	5
8	562	5
9	721	5
10	1148	5
11	1303	5
12	1450	5
13	1454	5
14	1454	5

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

13.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
14.0ms	(/ (* 60.0 (- x y)) (- z t))

series198.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* 60.0 (- x y))
100.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
66.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	390	631
1	1733	455
2	5002	453

prune271.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.5b	(/ 60.0 (/ (- z t) (- x y)))

rewrite44.0ms

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*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

13.0ms	(/ (- z t) (- x y))
0.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
18.0ms	(/ 60.0 (/ (- z t) (- x y)))

series455.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (- z t) (- x y))
99.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
298.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	676	1885
1	2984	1819
2	5001	1815

prune629.0ms

Filtered

217 candidates to 149 candidates (68.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

3 → 116

Calls

3 calls:

13.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
25.0ms	(* 60.0 (/ (- x y) (- z t)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- x y) (- z t))
96.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
65.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	395	752
1	1536	698
2	5001	696

prune343.0ms

Filtered

125 candidates to 87 candidates (69.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(fma 120.0 a (/ (sqrt 60.0) (/ (/ (- z t) (- x y)) (sqrt 60.0))))
0.3b	(/ (/ (- z t) (- x y)) (sqrt 60.0))
0.6b	(/ (sqrt 60.0) (/ (/ (- z t) (- x y)) (sqrt 60.0)))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

3878×	`times-frac`
2446×	`add-sqr-sqrt` `*-un-lft-identity`
1442×	`add-cube-cbrt`
1320×	`sqrt-prod`
502×	`distribute-lft-out--` `difference-of-squares`
201×	`associate-/r*`
101×	`associate-/r/`
59×	`div-inv`
51×	`flip3--` `flip--`
42×	`associate-/l*`
20×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `div-sub` `clear-num` `associate-/l/`
1×	`fma-udef`

Counts

4 → 1660

Calls

4 calls:

13.0ms	(/ (- z t) (- x y))
0.0ms	(fma 120.0 a (/ (sqrt 60.0) (/ (/ (- z t) (- x y)) (sqrt 60.0))))
23.0ms	(/ (/ (- z t) (- x y)) (sqrt 60.0))
64.0ms	(/ (sqrt 60.0) (/ (/ (- z t) (- x y)) (sqrt 60.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (- z t) (- x y))
297.0ms	(fma 120.0 a (/ (sqrt 60.0) (/ (/ (- z t) (- x y)) (sqrt 60.0))))
185.0ms	(/ (/ (- z t) (- x y)) (sqrt 60.0))
596.0ms	(/ (sqrt 60.0) (/ (/ (- z t) (- x y)) (sqrt 60.0)))

simplify320.0ms

Algorithm

egg-herbie

Counts

1672 → 1672

Iterations

Useful iterations: 1 (65.0ms)

Iter	Nodes	Cost
0	3317	27922
1	5002	26870

prune3.3s

Filtered

1672 candidates to 623 candidates (37.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes234.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5

end0.0ms

sample601.0ms

Algorithm

intervals

Results

301.0ms	8609×	body	80	valid
8.0ms	52×	body	1280	valid
5.0ms	25×	body	2560	valid
4.0ms	30×	body	640	valid
1.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid