Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

349×

body

valid

simplify99.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

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:

2.0ms	(+ x (* y 0.75))
16.0ms	(- (+ x (* y 0.75)) z)
9.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
23.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series118.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (* y 0.75))
22.0ms	(- (+ x (* y 0.75)) z)
26.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
42.0ms	(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

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

prune241.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

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

series50.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
25.0ms	(* 4.0 (/ z y))

simplify83.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (79.0ms)

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

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma 0.75 y x) z)
0.1b	(fma 0.75 y x)
0.2b	(fma (/ 4.0 y) (- (fma 0.75 y x) z) 1.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`prod-diff`
5×	`add-log-exp`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 49

Calls

3 calls:

3.0ms	(- (fma 0.75 y x) z)
0.0ms	(fma 0.75 y x)
0.0ms	(fma (/ 4.0 y) (- (fma 0.75 y x) z) 1.0)

series99.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- (fma 0.75 y x) z)
24.0ms	(fma 0.75 y x)
53.0ms	(fma (/ 4.0 y) (- (fma 0.75 y x) z) 1.0)

simplify89.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	166	311
1	537	225
2	3027	216
3	5002	200

prune133.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 0.75 y x)
0.1b	(/ 4.0 (/ (sqrt y) (- (fma 0.75 y x) z)))
0.1b	(/ (sqrt y) (- (fma 0.75 y x) z))
0.2b	(/ (/ 4.0 (/ (sqrt y) (- (fma 0.75 y x) z))) (sqrt y))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

2322×	`times-frac`
1286×	`add-sqr-sqrt` `*-un-lft-identity`
972×	`add-cube-cbrt`
735×	`sqrt-prod`
157×	`distribute-lft-out--` `difference-of-squares`
122×	`associate-/l*`
60×	`associate-/r/`
47×	`associate-/r*`
35×	`div-inv`
26×	`flip3--` `flip--`
20×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`fma-udef` `associate-/l/`

Counts

4 → 1047

Calls

4 calls:

0.0ms	(fma 0.75 y x)
13.0ms	(/ 4.0 (/ (sqrt y) (- (fma 0.75 y x) z)))
6.0ms	(/ (sqrt y) (- (fma 0.75 y x) z))
50.0ms	(/ (/ 4.0 (/ (sqrt y) (- (fma 0.75 y x) z))) (sqrt y))

series276.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma 0.75 y x)
94.0ms	(/ 4.0 (/ (sqrt y) (- (fma 0.75 y x) z)))
87.0ms	(/ (sqrt y) (- (fma 0.75 y x) z))
71.0ms	(/ (/ 4.0 (/ (sqrt y) (- (fma 0.75 y x) z))) (sqrt y))

simplify205.0ms

Algorithm

egg-herbie

Counts

1059 → 1059

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2585	17077
1	5001	16324

prune2.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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

sample491.0ms

Algorithm

intervals

Results

287.0ms

10097×

body

valid