Details

sample71.0ms

Algorithm

intervals

Results

49.0ms

626×

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

prune11.0ms

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	(* (* b b) (- 1.0 (* 3.0 a)))
0.4b	(pow (+ (* a a) (* b b)) 2.0)

rewrite166.0ms

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:

86.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
33.0ms	(* (* a a) (+ 1.0 a))
30.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
14.0ms	(pow (+ (* a a) (* b b)) 2.0)

series263.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
45.0ms	(* (* a a) (+ 1.0 a))
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify112.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (102.0ms)

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

prune682.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (+ (* a a) (* b b)) 2.0)
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 70

Calls

4 calls:

10.0ms	(pow (+ (* a a) (* b b)) 2.0)
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series543.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(pow (+ (* a a) (* b b)) 2.0)
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
144.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	159	638
1	536	593
2	1967	579
3	5002	572

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

11.2b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
11.2b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite55.0ms

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:

19.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series797.0ms

Counts

4 → 12

Calls

4 calls:

364.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
138.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
145.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify127.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (32.0ms)

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

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.6b	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 63

Calls

4 calls:

9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
105.0ms	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

series658.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
163.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
172.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
163.0ms	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

simplify122.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	117	771
1	245	697
2	796	559
3	3298	553
4	5002	553

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes645.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

20662×

body

valid