Details

sample51.0ms

Algorithm

intervals

Results

34.0ms

676×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (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)
1.1b	(* (* b b) (+ 3.0 a))

rewrite30.0ms

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:

7.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
8.0ms	(* (* a a) (- 1.0 a))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series290.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
54.0ms	(* (* a a) (- 1.0 a))
101.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

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

prune225.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 a))
0.1b	(* (cbrt (- 1.0 a)) (cbrt (- 1.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
1.1b	(* (* b b) (+ 3.0 a))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
33×	`cbrt-prod`
17×	`pow1`
16×	`add-cube-cbrt`
14×	`cbrt-div`
12×	`add-exp-log` `associate-r`
10×	`swap-sqr`
9×	`associate-l` `add-cbrt-cube`
7×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
5×	`pow-prod-down` `difference-of-squares` `unswap-sqr`
4×	`frac-times` `associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`associate-l/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `flip3-+` `pow-plus` `pow-exp` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

3.0ms	(cbrt (- 1.0 a))
11.0ms	(* (cbrt (- 1.0 a)) (cbrt (- 1.0 a)))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
13.0ms	(* (* b b) (+ 3.0 a))

series351.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (- 1.0 a))
122.0ms	(* (cbrt (- 1.0 a)) (cbrt (- 1.0 a)))
105.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (+ 3.0 a))

simplify63.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	546	833
1	2215	779
2	5001	739

prune343.0ms

Filtered

124 candidates to 82 candidates (66.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	124	7	131

Merged error: 0.0b

Counts

131 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* b b) (+ 3.0 a))
20.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite22.0ms

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))
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))

series470.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* b b) (+ 3.0 a))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
142.0ms	(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

prune273.0ms

Filtered

81 candidates to 64 candidates (79.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	81	7	88

Merged error: 0.0b

Counts

88 → 7

localize31.0ms

Local error

Found 4 expressions with local error:

9.4b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
9.4b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
20.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

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

series592.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
151.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
143.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify138.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	172	764
1	365	712
2	1183	704
3	4879	694
4	5001	694

prune400.0ms

Filtered

78 candidates to 62 candidates (79.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	77	8	85

Merged error: 0.0b

Counts

85 → 8

regimes179.0ms

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	29	21
1	29	21

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

20103×

body

valid