Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

277×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.5b	(fma (/ y (- a t)) (- z t) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series203.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ y (- a t))
176.0ms	(fma (/ y (- a t)) (- z t) x)

simplify102.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	166	265
1	444	246
2	1278	244
3	4359	243
4	5001	243

prune154.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
1.0b	(/ 1 (/ (- a t) y))
3.5b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

3 → 152

Calls

3 calls:

8.0ms	(/ (- a t) y)
9.0ms	(/ 1 (/ (- a t) y))
0.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

series288.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- a t) y)
73.0ms	(/ 1 (/ (- a t) y))
185.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	462	1073
1	1927	1009
2	5001	903

prune366.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sqrt 1) (- a t))
0.2b	(* (/ (sqrt 1) (- a t)) (* (sqrt 1) y))
3.5b	(fma (* (/ (sqrt 1) (- a t)) (* (sqrt 1) y)) (- z t) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt` `*-un-lft-identity`
60×	`times-frac`
39×	`add-cube-cbrt`
36×	`associate-l`
33×	`sqrt-prod`
17×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`prod-exp` `cbrt-unprod` `associate-/l*`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-2neg` `associate-r` `associate-l/` `clear-num` `-commutative` `fma-udef`

Counts

3 → 125

Calls

3 calls:

6.0ms	(/ (sqrt 1) (- a t))
27.0ms	(* (/ (sqrt 1) (- a t)) (* (sqrt 1) y))
0.0ms	(fma (* (/ (sqrt 1) (- a t)) (* (sqrt 1) y)) (- z t) x)

series296.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (sqrt 1) (- a t))
74.0ms	(* (/ (sqrt 1) (- a t)) (* (sqrt 1) y))
186.0ms	(fma (* (/ (sqrt 1) (- a t)) (* (sqrt 1) y)) (- z t) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	389	921
1	1478	812
2	5001	580

prune303.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.0b	(+ (/ (- z t) (/ (- a t) y)) x)
14.3b	(/ (- z t) (/ (- a t) y))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
306×	`*-un-lft-identity`
304×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
100×	`fma-def`
76×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
14×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 294

Calls

3 calls:

9.0ms	(/ (- a t) y)
90.0ms	(+ (/ (- z t) (/ (- a t) y)) x)
16.0ms	(/ (- z t) (/ (- a t) y))

series225.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- a t) y)
90.0ms	(+ (/ (- z t) (/ (- a t) y)) x)
106.0ms	(/ (- z t) (/ (- a t) y))

simplify80.0ms

Algorithm

egg-herbie

Counts

303 → 303

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	791	1747
1	3018	1690
2	5001	1690

prune744.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes194.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	4
1	16	4
2	16	4

end0.0ms

sample714.0ms

Algorithm

intervals

Results

452.0ms	8733×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid