Details

sample49.0ms

Algorithm

intervals

Results

32.0ms

640×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	53	14
1	173	13
2	532	12
3	1681	12
4	4278	12
5	5001	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
7×	`fma-def`
6×	`unpow-prod-down` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`pow-unpow`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

28.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
16.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
14.0ms	(* (* b b) (+ 3.0 a))

series294.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
54.0ms	(* (* a a) (- 1.0 a))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (+ 3.0 a))

simplify88.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	646	990
1	3454	779
2	5001	776

prune326.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (+ 3.0 a))
20.9b	(cbrt (* (* b b) (+ 3.0 a)))
20.9b	(cbrt (* (* b b) (+ 3.0 a)))
20.9b	(cbrt (* (* b b) (+ 3.0 a)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `cbrt-div`
5×	`add-cube-cbrt`
4×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

14.0ms	(* (* b b) (+ 3.0 a))
8.0ms	(cbrt (* (* b b) (+ 3.0 a)))
8.0ms	(cbrt (* (* b b) (+ 3.0 a)))
8.0ms	(cbrt (* (* b b) (+ 3.0 a)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* b b) (+ 3.0 a))
119.0ms	(cbrt (* (* b b) (+ 3.0 a)))
120.0ms	(cbrt (* (* b b) (+ 3.0 a)))
126.0ms	(cbrt (* (* b b) (+ 3.0 a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	341	696
1	1405	636
2	5001	576

prune351.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (+ 3.0 a))
17.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

18.0ms	(* (* b b) (+ 3.0 a))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series486.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* b b) (+ 3.0 a))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	270	642
1	1138	585
2	5001	579

prune348.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
0.7b	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

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 (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
0.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

series144.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
76.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

simplify56.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	76	210
1	319	183
2	1501	183
3	5002	180

prune94.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	25
1	29	25

end0.0ms

sample1.3s

Algorithm

intervals

Results

996.0ms

20316×

body

valid