Details

sample56.0ms

Algorithm

intervals

Results

34.0ms

627×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	55	15
1	179	14
2	561	13
3	1824	13
4	5002	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`associate-r`
7×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`prod-diff`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

83.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
32.0ms	(* (* a a) (+ 1.0 a))
28.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
13.0ms	(pow (+ (* a a) (* b b)) 2.0)

series259.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
44.0ms	(* (* a a) (+ 1.0 a))
48.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
106.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify117.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	725	894
1	4089	793
2	5001	790

prune361.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
23×	`add-cbrt-cube`
18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`pow1`
12×	`add-cube-cbrt`
9×	`prod-exp` `cbrt-unprod`
8×	`distribute-rgt-in` `distribute-lft-in` `prod-diff`
7×	`associate-r`
6×	`associate-*r/` `pow-prod-down`
5×	`times-frac` `associate-/r*`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u` `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 → 115

Calls

4 calls:

39.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
28.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
40.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series356.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
47.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
81.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))
108.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify102.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	651	943
1	3489	802
2	5003	799

prune411.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
0.1b	(* (* b b) (- 1.0 (* 3.0 a)))
0.1b	(* (* a a) (- (* 1.0 1.0) (* a a)))
0.3b	(* (pow (hypot a b) (* 2 (/ 2.0 2))) (pow (hypot a b) (* 2 (/ 2.0 2))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
35×	`add-exp-log`
25×	`add-cbrt-cube`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `unpow-prod-down` `prod-exp`
14×	`pow1` `associate-r`
11×	`unswap-sqr`
10×	`cbrt-unprod` `sqr-pow`
9×	`associate-l`
8×	`distribute-rgt-in` `distribute-lft-in` `prod-diff`
7×	`swap-sqr` `pow-prod-down`
6×	`pow-to-exp` `associate-*r/` `pow-exp`
5×	`times-frac` `associate-/r*`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `difference-of-squares`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out--`
1×	`pow2` `frac-2neg` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 150

Calls

4 calls:

40.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
30.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
37.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))
26.0ms	(* (pow (hypot a b) (* 2 (/ 2.0 2))) (pow (hypot a b) (* 2 (/ 2.0 2))))

series425.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
54.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
81.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))
176.0ms	(* (pow (hypot a b) (* 2 (/ 2.0 2))) (pow (hypot a b) (* 2 (/ 2.0 2))))

simplify120.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	728	1381
1	3925	1169
2	5001	1157

prune530.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
0.1b	(* (* b b) (- 1.0 (* 3.0 a)))
0.1b	(* (* a a) (- (* 1.0 1.0) (* a a)))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt`
16×	`pow1` `*-un-lft-identity`
12×	`add-cube-cbrt` `associate-*r/`
10×	`associate-r` `prod-exp` `cbrt-unprod`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-diff`
7×	`pow-prod-down`
5×	`flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `difference-of-squares` `unswap-sqr`
2×	`frac-add` `associate-/r/` `associate-/l/` `distribute-lft-out--`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 122

Calls

4 calls:

166.0ms	(* 4.0 (+ (/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
39.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
30.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
41.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* 4.0 (+ (/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
114.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
54.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
81.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))

simplify137.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (123.0ms)

Iter	Nodes	Cost
0	792	1270
1	4502	1096
2	5001	1093

prune469.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes61.0ms

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	31	18
1	31	18

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

20509×

body

valid