Details

sample27.0ms

Algorithm

intervals

Results

12.0ms	269×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify77.0ms

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: 0.4b

localize9.0ms

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))

rewrite55.0ms

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:

25.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
27.0ms	(/ (* 60.0 (- x y)) (- z t))

series166.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* 60.0 (- x y))
83.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
54.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (44.0ms)

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

prune285.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize9.0ms

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))))
0.2b	(* 60.0 (/ (- x y) (- z t)))

rewrite72.0ms

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:

23.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
44.0ms	(* 60.0 (/ (- x y) (- z t)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- x y) (- z t))
82.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
59.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (41.0ms)

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

prune473.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(fma 120.0 a (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
0.3b	(* (sqrt 60.0) (/ (- x y) (- z t)))
0.4b	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
52×	`times-frac`
32×	`associate-r`
31×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-l`
11×	`pow1`
8×	`sqrt-prod`
7×	`prod-exp` `cbrt-unprod`
5×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `associate-*r/` `div-exp` `flip--`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `clear-num` `fma-udef`

Counts

4 → 147

Calls

4 calls:

25.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
45.0ms	(* (sqrt 60.0) (/ (- x y) (- z t)))
54.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

series602.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (- x y) (- z t))
240.0ms	(fma 120.0 a (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
115.0ms	(* (sqrt 60.0) (/ (- x y) (- z t)))
201.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

simplify65.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	468	1102
1	1970	983
2	5001	981

prune627.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (/ 1 (/ (- z t) (* 60.0 (- x y)))))
0.5b	(/ (- z t) (* 60.0 (- x y)))
0.8b	(/ 1 (/ (- z t) (* 60.0 (- x y))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

22.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ 1 (/ (- z t) (* 60.0 (- x y)))))
26.0ms	(/ (- z t) (* 60.0 (- x y)))
28.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 60.0 (- x y))
87.0ms	(fma 120.0 a (/ 1 (/ (- z t) (* 60.0 (- x y)))))
58.0ms	(/ (- z t) (* 60.0 (- x y)))
258.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

simplify76.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	586	1285
1	2762	1027
2	5002	965

prune462.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes269.0ms

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

sample589.0ms

Algorithm

intervals

Results

299.0ms	8538×	body	80	valid
8.0ms	48×	body	1280	valid
5.0ms	41×	body	640	valid
5.0ms	26×	body	2560	valid
2.0ms	18×	body	320	valid
1.0ms	11×	body	160	valid