Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

310×

body

valid

simplify95.0ms

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b	(- (+ x (* y 0.75)) z)
0.0b	(+ x (* y 0.75))
0.1b	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`add-log-exp`
9×	`add-exp-log` `prod-diff` `add-cbrt-cube`
6×	`fma-def`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `fma-neg` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `+-commutative` `flip3--` `flip3-+` `diff-log` `associate-*r/` `div-exp` `flip--` `flip-+` `associate-/l/`
1×	`sub-neg` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `div-inv` `distribute-lft-out` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

11.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
15.0ms	(- (+ x (* y 0.75)) z)
2.0ms	(+ x (* y 0.75))
22.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series114.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
27.0ms	(- (+ x (* y 0.75)) z)
24.0ms	(+ x (* y 0.75))
37.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	419	659
1	1695	507
2	5001	488

prune228.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

7.0ms	(* 4.0 (/ z y))
0.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))

series44.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(* 4.0 (/ z y))
26.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))

simplify78.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	192	228
1	847	202
2	3740	202
3	5001	199

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 0.75 y (- x z))
0.2b	(fma (/ 4.0 y) (fma 0.75 y (- x z)) 1.0)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma 0.75 y (- x z))
0.0ms	(fma (/ 4.0 y) (fma 0.75 y (- x z)) 1.0)

series252.0ms

Counts

2 → 6

Calls

2 calls:

206.0ms	(fma 0.75 y (- x z))
45.0ms	(fma (/ 4.0 y) (fma 0.75 y (- x z)) 1.0)

simplify67.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 4 (64.0ms)

Iter	Nodes	Cost
0	64	128
1	156	108
2	566	108
3	3032	105
4	5001	102

prune80.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (/ z y))
0.0b	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
0.2b	(pow (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))) 3)
22.2b	(cbrt (pow (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`cbrt-prod`
10×	`add-exp-log` `times-frac` `add-cbrt-cube`
7×	`pow1`
6×	`unpow-prod-down` `cube-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `unpow3` `prod-exp` `cbrt-unprod` `unswap-sqr` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `div-exp` `pow-prod-down` `pow-exp` `-commutative` `rem-cbrt-cube` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 92

Calls

4 calls:

7.0ms	(* 4.0 (/ z y))
0.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
1.0ms	(pow (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))) 3)
1.0ms	(cbrt (pow (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))) 3))

series259.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 4.0 (/ z y))
33.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
181.0ms	(pow (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))) 3)
27.0ms	(cbrt (pow (fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y)))) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	355	700
1	1689	654
2	5002	646

prune230.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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	10	5
1	10	5

end0.0ms

sample797.0ms

Algorithm

intervals

Results

587.0ms

10127×

body

valid