Details

sample28.0ms

Algorithm

intervals

Results

12.0ms	282×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	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

prune5.0ms

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)))
0.5b	(/ (* 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)))
26.0ms	(/ (* 60.0 (- x y)) (- z t))

series162.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* 60.0 (- x y))
80.0ms	(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

prune205.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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

rewrite62.0ms

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))))
26.0ms	(/ (- z t) (- x y))
23.0ms	(/ 60.0 (/ (- z t) (- x y)))

series383.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
47.0ms	(/ (- z t) (- x y))
252.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (62.0ms)

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

prune554.0ms

Pruning

3 alts after pruning (3 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 y) (- z t))))
0.0b	(/ (- x y) (- z t))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite76.0ms

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))))
24.0ms	(/ (- x y) (- z t))
46.0ms	(* 60.0 (/ (- x y) (- z t)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
44.0ms	(/ (- x y) (- z t))
58.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (41.0ms)

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

prune303.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 120.0 a (/ 60.0 (* (- z t) (/ 1 (- x y)))))
0.0b	(/ 1 (- x y))
0.3b	(* (- z t) (/ 1 (- x y)))
0.5b	(/ 60.0 (* (- z t) (/ 1 (- x y))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/`
8×	`prod-exp` `distribute-lft-out--` `difference-of-squares`
7×	`pow1`
6×	`cbrt-undiv` `flip3--` `associate-/r` `flip--` `associate-/l`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv`
1×	`pow-flip` `pow-prod-down` `*-commutative` `fma-udef` `inv-pow`

Counts

4 → 138

Calls

4 calls:

0.0ms	(fma 120.0 a (/ 60.0 (* (- z t) (/ 1 (- x y)))))
13.0ms	(/ 1 (- x y))
44.0ms	(* (- z t) (/ 1 (- x y)))
24.0ms	(/ 60.0 (* (- z t) (/ 1 (- x y))))

series416.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(fma 120.0 a (/ 60.0 (* (- z t) (/ 1 (- x y)))))
34.0ms	(/ 1 (- x y))
46.0ms	(* (- z t) (/ 1 (- x y)))
253.0ms	(/ 60.0 (* (- z t) (/ 1 (- x y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	457	831
1	2006	703
2	5002	652

prune327.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes141.0ms

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

sample632.0ms

Algorithm

intervals

Results

272.0ms	8554×	body	80	valid
7.0ms	54×	body	1280	valid
4.0ms	39×	body	640	valid
3.0ms	19×	body	2560	valid
1.0ms	17×	body	320	valid
1.0ms	11×	body	160	valid