Details

sample67.0ms

Algorithm

intervals

Results

42.0ms

668×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

prune4.0ms

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) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
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` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

7.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
7.0ms	(* (* a a) (+ 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
10.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
50.0ms	(* (* a a) (+ 1.0 a))
97.0ms	(pow (+ (* a a) (* b b)) 2.0)
47.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify64.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	504	702
1	2520	622
2	5003	622

prune478.0ms

Filtered

91 candidates to 61 candidates (67.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
0.1b	(* (* a a) (- (* 1.0 1.0) (* a a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
23×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`pow1`
14×	`*-un-lft-identity`
10×	`add-cube-cbrt`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`associate-*r/` `pow-prod-down`
5×	`times-frac` `associate-/r*`
4×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip--` `add-log-exp`
3×	`cbrt-undiv` `unpow-prod-down` `pow-unpow` `div-exp` `difference-of-squares`
2×	`associate-l` `associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out--` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow-exp` `clear-num` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 99

Calls

4 calls:

14.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
8.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
75.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))
96.0ms	(pow (+ (* a a) (* b b)) 2.0)
47.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify83.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	578	807
1	3130	678
2	5001	678

prune376.0ms

Filtered

111 candidates to 73 candidates (65.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	111	7	118

Merged error: 0.0b

Counts

118 → 7

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- 1.0 a) (- (* 1.0 1.0) (* a a)))
0.1b	(/ (* a a) (/ (- 1.0 a) (- (* 1.0 1.0) (* a a))))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
65×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
38×	`add-cube-cbrt`
30×	`associate-/r*`
29×	`difference-of-squares`
24×	`add-exp-log`
23×	`add-cbrt-cube`
13×	`distribute-lft-out--`
10×	`pow1`
7×	`cbrt-undiv` `div-exp` `associate-/r/`
6×	`associate-/l*`
5×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-r` `pow-prod-down`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-*r/` `clear-num` `associate-/l/`
1×	`pow-to-exp` `pow-pow` `div-sub` `associate-l` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 160

Calls

4 calls:

7.0ms	(/ (- 1.0 a) (- (* 1.0 1.0) (* a a)))
15.0ms	(/ (* a a) (/ (- 1.0 a) (- (* 1.0 1.0) (* a a))))
7.0ms	(pow (+ (* a a) (* b b)) 2.0)
12.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- 1.0 a) (- (* 1.0 1.0) (* a a)))
115.0ms	(/ (* a a) (/ (- 1.0 a) (- (* 1.0 1.0) (* a a))))
98.0ms	(pow (+ (* a a) (* b b)) 2.0)
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify121.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	775	1524
1	4577	1360
2	5002	1304

prune670.0ms

Filtered

172 candidates to 126 candidates (73.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	173	6	179

Merged error: 0b

Counts

179 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* b b) (- 1.0 (* 3.0 a)))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.3b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

10.0ms	(* (* 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))

series494.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
142.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	266	651
1	1020	585
2	5001	579

prune360.0ms

Filtered

82 candidates to 64 candidates (78.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	82	6	88

Merged error: 0b

Counts

88 → 6

regimes174.0ms

Accuracy

0% (0.2b 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	28	19
1	28	19

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

20238×

body

valid

Details

sample67.0ms

simplify92.0ms

prune4.0ms

localize16.0ms

rewrite30.0ms

series297.0ms

simplify64.0ms

prune478.0ms

localize20.0ms

rewrite36.0ms

series368.0ms

simplify83.0ms

prune376.0ms

localize36.0ms

rewrite48.0ms

series306.0ms

simplify121.0ms

prune670.0ms

localize22.0ms

rewrite25.0ms

series494.0ms

simplify37.0ms

prune360.0ms

regimes174.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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