Details

sample57.0ms

Algorithm

intervals

Results

38.0ms

699×

body

valid

simplify76.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (+ 3.0 a))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
3×	`unpow-prod-down` `pow-unpow`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

8.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
9.0ms	(* (* a a) (- 1.0 a))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series303.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
50.0ms	(* (* a a) (- 1.0 a))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)
37.0ms	(* (* b b) (+ 3.0 a))

simplify75.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	506	651
1	2520	583
2	5001	583

prune249.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (+ 3.0 a))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.4b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite24.0ms

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:

8.0ms	(* (* b b) (+ 3.0 a))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series473.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* b b) (+ 3.0 a))
144.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
145.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (31.0ms)

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

prune298.0ms

Filtered

81 candidates to 64 candidates (79.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	81	5	86

Merged error: 0.0b

Counts

86 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* (pow a 2) (pow b 2)))
1.8b	(* (pow a 2) (pow b 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
28×	`prod-exp`
23×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`associate-l`
10×	`unpow2` `sqr-pow`
9×	`associate-r` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-unprod`
2×	`pow-prod-down` `*-commutative` `add-log-exp`

Counts

2 → 76

Calls

2 calls:

7.0ms	(* 2 (* (pow a 2) (pow b 2)))
8.0ms	(* (pow a 2) (pow b 2))

series73.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* 2 (* (pow a 2) (pow b 2)))
38.0ms	(* (pow a 2) (pow b 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	229	393
1	907	329
2	5002	318

prune150.0ms

Filtered

82 candidates to 37 candidates (45.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b	(* (* a a) (- 1.0 a))
0.4b	(pow (/ 1 a) -4.0)
0.4b	(* (* b b) (+ 3.0 a))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`add-exp-log`
20×	`*-un-lft-identity`
18×	`pow1` `associate-*r/`
16×	`add-cube-cbrt` `add-cbrt-cube`
13×	`unpow-prod-down`
12×	`associate-r`
9×	`times-frac`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `pow-exp` `flip-+` `add-log-exp`
3×	`pow-unpow` `flip3--` `pow-pow` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg` `div-exp`
1×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `div-inv` `distribute-lft-out` `distribute-lft-out--` `inv-pow` `difference-of-squares` `sqr-pow`

Counts

4 → 109

Calls

4 calls:

17.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
9.0ms	(* (* a a) (- 1.0 a))
5.0ms	(pow (/ 1 a) -4.0)
8.0ms	(* (* b b) (+ 3.0 a))

series323.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
52.0ms	(* (* a a) (- 1.0 a))
175.0ms	(pow (/ 1 a) -4.0)
33.0ms	(* (* b b) (+ 3.0 a))

simplify105.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	735	758
1	3836	681
2	5001	665

prune289.0ms

Filtered

121 candidates to 73 candidates (60.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	121	5	126

Merged error: 0.0b

Counts

126 → 5

regimes135.0ms

Accuracy

0% (0.2b 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	25	14
1	25	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

20696×

body

valid