Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

327×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	22	6
1	50	6
2	124	4
3	280	4
4	534	4
5	869	4
6	1397	4
7	3521	4
8	5001	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.0b	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-def` `times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

17.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
48.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series60.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
36.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	265	349
1	1079	306
2	5002	297

prune118.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* 4.0 (/ z y)))
0.0b	(* 4.0 (/ z y))
0.0b	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `fma-udef` `div-inv`

Counts

3 → 64

Calls

3 calls:

6.0ms	(- 2.0 (* 4.0 (/ z y)))
14.0ms	(* 4.0 (/ z y))
0.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))

series68.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(- 2.0 (* 4.0 (/ z y)))
17.0ms	(* 4.0 (/ z y))
24.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))

simplify36.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	267	355
1	1067	317
2	5001	316

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0)))
0.0b	(/ y (fma 0.25 y (- x z)))
0.2b	(/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

402×	`times-frac`
199×	`*-un-lft-identity`
196×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`associate-/r*`
26×	`add-exp-log`
19×	`div-inv`
16×	`div-exp`
14×	`add-cbrt-cube`
7×	`cbrt-undiv`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `fma-def` `1-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

3 → 249

Calls

3 calls:

53.0ms	(+ 1.0 (/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0)))
5.0ms	(/ y (fma 0.25 y (- x z)))
21.0ms	(/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0))

series160.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ 1.0 (/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0)))
79.0ms	(/ y (fma 0.25 y (- x z)))
37.0ms	(/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	1082	2916
1	4832	2359
2	5001	2355

prune426.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series712.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt z)
177.0ms	(cbrt y)
183.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify58.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	73	172
1	149	160
2	350	152
3	1283	152
4	5001	152

prune246.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample580.0ms

Algorithm

intervals

Results

286.0ms

10110×

body

valid