Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	278×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify63.0ms

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

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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:

0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
23.0ms	(* 60.0 (- x y))
25.0ms	(/ (* 60.0 (- x y)) (- z t))

series234.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
49.0ms	(* 60.0 (- x y))
89.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (40.0ms)

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

prune193.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`times-frac`
14×	`add-cube-cbrt`
7×	`distribute-lft-out`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`distribute-rgt-neg-out` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`flip3-+` `div-sub` `unsub-neg` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `fma-udef` `div-inv`

Counts

3 → 76

Calls

3 calls:

0.0ms	(fma 120.0 a (/ (+ (* 60.0 x) (* 60.0 (- y))) (- z t)))
2.0ms	(+ (* 60.0 x) (* 60.0 (- y)))
11.0ms	(/ (+ (* 60.0 x) (* 60.0 (- y))) (- z t))

series194.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(fma 120.0 a (/ (+ (* 60.0 x) (* 60.0 (- y))) (- z t)))
36.0ms	(+ (* 60.0 x) (* 60.0 (- y)))
67.0ms	(/ (+ (* 60.0 x) (* 60.0 (- y))) (- z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	303	701
1	1156	617
2	5002	608

prune236.0ms

Pruning

4 alts after pruning (3 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))
0.6b	(/ 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))))
14.0ms	(/ (- z t) (- x y))
13.0ms	(/ 60.0 (/ (- z t) (- x y)))

series419.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
50.0ms	(/ (- z t) (- x y))
280.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (56.0ms)

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

prune524.0ms

Pruning

4 alts after pruning (2 fresh and 2 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)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out`
11×	`distribute-rgt-neg-in` `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` `div-sub` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`neg-sub0` `associate-+r-` `frac-2neg` `flip3-+` `associate-r/` `unsub-neg` `pow-prod-down` `clear-num` `-commutative` `flip-+` `fma-udef`

Counts

3 → 118

Calls

3 calls:

0.0ms	(fma 120.0 a (* 60.0 (/ (+ x (- y)) (- z t))))
17.0ms	(/ (+ x (- y)) (- z t))
34.0ms	(* 60.0 (/ (+ x (- y)) (- z t)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(fma 120.0 a (* 60.0 (/ (+ x (- y)) (- z t))))
51.0ms	(/ (+ x (- y)) (- z t))
60.0ms	(* 60.0 (/ (+ x (- y)) (- z t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	351	845
1	1551	757
2	5001	739

prune292.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes183.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	23	7
2	24	7
3	24	7

end0.0ms

sample592.0ms

Algorithm

intervals

Results

300.0ms	8553×	body	80	valid
7.0ms	48×	body	1280	valid
5.0ms	25×	body	2560	valid
3.0ms	29×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	10×	body	160	valid