Details

sample30.0ms

Algorithm

intervals

Results

16.0ms	272×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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)))
0.3b	(/ (* 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:

11.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
13.0ms	(/ (* 60.0 (- x y)) (- z t))

series184.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* 60.0 (- x y))
90.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
59.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify55.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (47.0ms)

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

prune222.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))))
1.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite38.0ms

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:

12.0ms	(/ (- z t) (- x y))
0.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
14.0ms	(/ 60.0 (/ (- z t) (- x y)))

series429.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- z t) (- x y))
93.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
287.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (61.0ms)

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

prune777.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

8.0ms	(/ 60.0 (- z t))
0.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
25.0ms	(* (/ 60.0 (- z t)) (- x y))

series396.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 60.0 (- z t))
88.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
267.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify59.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	514	923
1	2059	746
2	5002	738

prune295.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(fma 120.0 a (+ (* (/ 60.0 (- z t)) x) (* (/ 60.0 (- z t)) (- y))))
0.2b	(* (/ 60.0 (- z t)) x)
0.2b	(* (/ 60.0 (- z t)) (- y))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
42×	`associate-l`
36×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`associate-/r/`
5×	`associate-/r*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `div-exp` `flip--` `div-inv` `associate-/l*`
2×	`pow-prod-down` `associate-l/` `-commutative`
1×	`neg-mul-1` `frac-2neg` `clear-num` `distribute-rgt-neg-out` `fma-udef`

Counts

4 → 141

Calls

4 calls:

5.0ms	(/ 60.0 (- z t))
0.0ms	(fma 120.0 a (+ (* (/ 60.0 (- z t)) x) (* (/ 60.0 (- z t)) (- y))))
16.0ms	(* (/ 60.0 (- z t)) x)
20.0ms	(* (/ 60.0 (- z t)) (- y))

series326.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 60.0 (- z t))
113.0ms	(fma 120.0 a (+ (* (/ 60.0 (- z t)) x) (* (/ 60.0 (- z t)) (- y))))
86.0ms	(* (/ 60.0 (- z t)) x)
86.0ms	(* (/ 60.0 (- z t)) (- y))

simplify51.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	500	813
1	1925	736
2	5001	731

prune447.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes177.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	23	9
2	26	9
3	26	9

end0.0ms

sample822.0ms

Algorithm

intervals

Results

524.0ms	8504×	body	80	valid
15.0ms	54×	body	1280	valid
9.0ms	29×	body	2560	valid
7.0ms	28×	body	640	valid
3.0ms	16×	body	320	valid
2.0ms	16×	body	160	valid