Details

sample63.0ms

Algorithm

intervals

Results

48.0ms

636×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	41	8
2	67	8
3	119	8
4	309	8
5	1494	8
6	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(* 4.0 (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `sum-log` `flip-+`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

3.0ms	(+ (* a a) (* b b))
6.0ms	(* 4.0 (* b b))
23.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series231.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* a a) (* b b))
26.0ms	(* 4.0 (* b b))
67.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
105.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	322	413
1	1353	379
2	5001	379

prune164.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
2.5b	(* (pow a 2) (pow b 2))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

6.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
12.0ms	(* 2 (* (pow a 2) (pow b 2)))
17.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
9.0ms	(* (pow a 2) (pow b 2))

series180.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
36.0ms	(* 2 (* (pow a 2) (pow b 2)))
54.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
32.0ms	(* (pow a 2) (pow b 2))

simplify59.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	375	699
1	1611	622
2	5002	616

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (* (pow a 2) (pow b 2)))
0.0b	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
2.5b	(* (pow a 2) (pow b 2))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
31×	`prod-exp`
27×	`add-sqr-sqrt`
17×	`unswap-sqr`
16×	`add-cbrt-cube`
14×	`unpow-prod-down` `associate-l`
12×	`pow-to-exp` `pow-exp`
11×	`pow1`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `unpow2` `sqr-pow`
9×	`add-log-exp`
7×	`cbrt-unprod`
5×	`pow-prod-down`
3×	`sum-log` `*-commutative`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

4 → 108

Calls

4 calls:

10.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
26.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
6.0ms	(* 4.0 (* b b))
9.0ms	(* (pow a 2) (pow b 2))

series165.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
67.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
25.0ms	(* 4.0 (* b b))
37.0ms	(* (pow a 2) (pow b 2))

simplify57.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	400	683
1	1741	575
2	5002	568

prune239.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3)) (* 4.0 (* b b)))
0.1b	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
0.3b	(pow (+ (* a a) (* b b)) 2.0)
28.2b	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

29×	`unpow-prod-down`
20×	`cbrt-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`cube-prod`
7×	`add-exp-log` `sqr-pow`
6×	`pow-unpow` `add-log-exp`
5×	`pow1` `pow-exp` `add-cbrt-cube`
3×	`pow-to-exp`
2×	`cube-mult` `pow-pow` `unpow3`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 90

Calls

4 calls:

59.0ms	(+ (cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3)) (* 4.0 (* b b)))
8.0ms	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

series449.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3)) (* 4.0 (* b b)))
122.0ms	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
107.0ms	(pow (+ (* a a) (* b b)) 2.0)
150.0ms	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	367	843
1	1577	794
2	5001	788

prune229.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

20502×

body

valid