Details

sample51.0ms

Algorithm

intervals

Results

33.0ms

616×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 3.0 a))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-*r/`
3×	`distribute-rgt-in` `sub-neg` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
2×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `diff-log` `pow-exp` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

2.0ms	(- 1.0 (* 3.0 a))
14.0ms	(* (* a a) (+ 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
12.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 1.0 (* 3.0 a))
48.0ms	(* (* a a) (+ 1.0 a))
100.0ms	(pow (+ (* a a) (* b b)) 2.0)
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	408	475
1	1999	415
2	5002	415

prune229.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
0.1b	(* (* a a) (- (* 1.0 1.0) (* a a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
23×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`pow1`
14×	`*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`associate-*r/` `pow-prod-down`
5×	`times-frac` `associate-/r*`
4×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip--` `add-log-exp`
3×	`cbrt-undiv` `unpow-prod-down` `pow-unpow` `div-exp` `difference-of-squares`
2×	`associate-l` `associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out--` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow-exp` `clear-num` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

15.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
15.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
12.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
77.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))
98.0ms	(pow (+ (* a a) (* b b)) 2.0)
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify86.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	578	807
1	3130	678
2	5001	678

prune321.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* b b) (- 1.0 (* 3.0 a)))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

12.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
6.0ms	(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))

series484.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
143.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	266	651
1	1020	585
2	5001	579

prune352.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

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

series629.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
162.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
145.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify96.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	102	632
1	220	588
2	765	580
3	3241	572
4	5001	572

prune365.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes149.0ms

Accuracy

0% (0.1b 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	19
1	29	19

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

20541×

body

valid