Details

sample55.0ms

Algorithm

intervals

Results

36.0ms

690×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

localize16.0ms

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))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.7b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite39.0ms

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:

12.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
8.0ms	(* (* a a) (+ 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
11.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
47.0ms	(* (* a a) (+ 1.0 a))
108.0ms	(pow (+ (* a a) (* b b)) 2.0)
49.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify108.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (97.0ms)

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

prune349.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (- 1.0 (* 3.0 a)))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

8.0ms	(* (* b b) (- 1.0 (* 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))

series512.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	315	769
1	1231	692
2	5002	681

prune374.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

10.5b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
10.5b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 76

Calls

4 calls:

5.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(sqrt (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))

series597.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify114.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	147	644
1	323	600
2	1002	596
3	3983	592
4	5002	592

prune472.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(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))

series604.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
158.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	106	680
1	233	632
2	782	624
3	3284	616
4	5002	616

prune374.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes249.0ms

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	27	15
1	27	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

20581×

body

valid