Details

sample53.0ms

Algorithm

intervals

Results

35.0ms

690×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	430	14
3	1195	14
4	2526	14
5	5001	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.0b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (+ 3.0 a))

rewrite102.0ms

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×	`associate-r`
10×	`add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `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` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

65.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
14.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
14.0ms	(* (* b b) (+ 3.0 a))

series245.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
52.0ms	(* (* a a) (- 1.0 a))
97.0ms	(pow (+ (* a a) (* b b)) 2.0)
41.0ms	(* (* b b) (+ 3.0 a))

simplify94.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	641	720
1	3571	649
2	5001	649

prune274.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 3.0 a))
24.0b	(cbrt (* (* a a) (- 1.0 a)))
24.0b	(cbrt (* (* a a) (- 1.0 a)))
24.0b	(cbrt (* (* a a) (- 1.0 a)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `cbrt-div`
5×	`add-cube-cbrt`
4×	`associate-r` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

14.0ms	(* (* b b) (+ 3.0 a))
7.0ms	(cbrt (* (* a a) (- 1.0 a)))
7.0ms	(cbrt (* (* a a) (- 1.0 a)))
11.0ms	(cbrt (* (* a a) (- 1.0 a)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* b b) (+ 3.0 a))
90.0ms	(cbrt (* (* a a) (- 1.0 a)))
91.0ms	(cbrt (* (* a a) (- 1.0 a)))
91.0ms	(cbrt (* (* a a) (- 1.0 a)))

simplify39.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	330	559
1	1337	490
2	5001	457

prune276.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 3.0 a))
23.9b	(cbrt (* (* a a) (- (* 1.0 1.0) (* a a))))
24.0b	(cbrt (* (* a a) (- 1.0 a)))
24.0b	(cbrt (* (* a a) (- 1.0 a)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
7×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `cbrt-div`
5×	`add-cube-cbrt`
4×	`associate-r` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

13.0ms	(* (* b b) (+ 3.0 a))
11.0ms	(cbrt (* (* a a) (- (* 1.0 1.0) (* a a))))
7.0ms	(cbrt (* (* a a) (- 1.0 a)))
8.0ms	(cbrt (* (* a a) (- 1.0 a)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* b b) (+ 3.0 a))
202.0ms	(cbrt (* (* a a) (- (* 1.0 1.0) (* a a))))
91.0ms	(cbrt (* (* a a) (- 1.0 a)))
90.0ms	(cbrt (* (* a a) (- 1.0 a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	483	620
1	1964	548
2	5001	515

prune354.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 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))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

14.0ms	(* (* b b) (+ 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))

series469.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* b b) (+ 3.0 a))
145.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
143.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	262	598
1	1088	544
2	5002	538

prune299.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	25
1	29	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

20581×

body

valid