Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	276×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify79.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 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)))
0.4b	(/ (* 60.0 (- x y)) (- z t))

rewrite58.0ms

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:

23.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
32.0ms	(/ (* 60.0 (- x y)) (- z t))

series204.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* 60.0 (- x y))
103.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
70.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (46.0ms)

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

prune228.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

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))))
0.5b	(/ 60.0 (/ (- z t) (- x y)))

rewrite64.0ms

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:

24.0ms	(/ (- z t) (- x y))
0.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
27.0ms	(/ 60.0 (/ (- z t) (- x y)))

series448.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- z t) (- x y))
103.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
286.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (64.0ms)

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

prune622.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite67.0ms

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:

11.0ms	(/ 60.0 (- z t))
0.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
48.0ms	(* (/ 60.0 (- z t)) (- x y))

series425.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 60.0 (- z t))
98.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
284.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify58.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (48.0ms)

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

prune326.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(fma 120.0 a (* (* 60.0 (/ 1 (- z t))) (- x y)))
0.3b	(* (* 60.0 (/ 1 (- z t))) (- x y))
0.3b	(* 60.0 (/ 1 (- z t)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
37×	`add-cube-cbrt`
32×	`add-exp-log` `times-frac`
26×	`associate-r`
20×	`add-cbrt-cube`
18×	`prod-diff`
13×	`prod-exp`
12×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`associate-*r/` `div-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `associate-/r/` `un-div-inv` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `associate-l/` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `fma-udef` `inv-pow`

Counts

4 → 155

Calls

4 calls:

12.0ms	(/ 1 (- z t))
0.0ms	(fma 120.0 a (* (* 60.0 (/ 1 (- z t))) (- x y)))
65.0ms	(* (* 60.0 (/ 1 (- z t))) (- x y))
33.0ms	(* 60.0 (/ 1 (- z t)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (- z t))
101.0ms	(fma 120.0 a (* (* 60.0 (/ 1 (- z t))) (- x y)))
279.0ms	(* (* 60.0 (/ 1 (- z t))) (- x y))
45.0ms	(* 60.0 (/ 1 (- z t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	600	1144
1	2779	848
2	5001	792

prune355.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes202.0ms

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	13	5
1	13	5

end0.0ms

sample645.0ms

Algorithm

intervals

Results

262.0ms	8535×	body	80	valid
9.0ms	31×	body	2560	valid
5.0ms	19×	body	320	valid
5.0ms	34×	body	1280	valid
4.0ms	36×	body	640	valid
1.0ms	15×	body	160	valid
0.0ms	2×	body	5120	valid