Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

319×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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)

rewrite20.0ms

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:

9.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
10.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series62.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
37.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify31.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (26.0ms)

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

prune109.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 44

Calls

2 calls:

1.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
6.0ms	(* 4.0 (/ z y))

series44.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(fma 4.0 (/ x y) (- 2.0 (* 4.0 (/ z y))))
18.0ms	(* 4.0 (/ z y))

simplify73.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	193	228
1	829	202
2	3625	202
3	5002	199

prune108.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (fma 0.25 y (- x z)))
0.0b	(+ 1.0 (/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0)))
0.1b	(/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0))

rewrite62.0ms

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:

3.0ms	(/ y (fma 0.25 y (- x z)))
33.0ms	(+ 1.0 (/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0)))
12.0ms	(/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0))

series173.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ y (fma 0.25 y (- x z)))
49.0ms	(+ 1.0 (/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0)))
41.0ms	(/ 1 (/ (/ y (fma 0.25 y (- x z))) 4.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

258 → 258

Iterations

Useful iterations: 2 (59.0ms)

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

prune403.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample496.0ms

Algorithm

intervals

Results

297.0ms

10123×

body

valid