Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	276×	body	80	valid
0.0ms	1×	body	320	valid

simplify77.0ms

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

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))

rewrite32.0ms

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:

15.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
14.0ms	(/ (* 60.0 (- x y)) (- z t))

series189.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* 60.0 (- x y))
93.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
60.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (45.0ms)

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

prune222.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.0b	(/ (- z t) (- x y))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite39.0ms

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:

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

series428.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
50.0ms	(/ (- z t) (- x y))
282.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (64.0ms)

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

prune603.0ms

Pruning

4 alts after pruning (2 fresh and 2 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)) (/ 1 (- x y))))
0.0b	(/ 1 (- x y))
0.3b	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 601

Calls

4 calls:

5.0ms	(/ 60.0 (- z t))
0.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
6.0ms	(/ 1 (- x y))
31.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ 60.0 (- z t))
93.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
36.0ms	(/ 1 (- x y))
291.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify122.0ms

Algorithm

egg-herbie

Counts

613 → 613

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2295	7622
1	5003	7055

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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:

0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
14.0ms	(/ (- x y) (- z t))
27.0ms	(* 60.0 (/ (- x y) (- z t)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
56.0ms	(/ (- x y) (- z t))
66.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (40.0ms)

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

prune330.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample576.0ms

Algorithm

intervals

Results

300.0ms	8505×	body	80	valid
10.0ms	61×	body	1280	valid
7.0ms	34×	body	2560	valid
3.0ms	25×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	11×	body	160	valid