Details

sample68.0ms

Algorithm

intervals

Results

42.0ms

668×

body

valid

simplify72.0ms

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

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

localize20.0ms

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)
0.6b	(* (* 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))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series291.0ms

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)))))
49.0ms	(* (* a a) (- 1.0 a))
107.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

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

prune344.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (+ 3.0 a))
8.8b	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
8.8b	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
8.8b	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

8.0ms	(* (* b b) (+ 3.0 a))
9.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
6.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
6.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

series568.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* b b) (+ 3.0 a))
179.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
178.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))
178.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))))

simplify50.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	338	1282
1	1470	1156
2	5002	1120

prune404.0ms

Filtered

75 candidates to 61 candidates (81.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))
3.5b	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
21.3b	(log (pow (+ (* a a) (* b b)) 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))
6.0ms	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
5.0ms	(log (pow (+ (* a a) (* b b)) 2.0))

series333.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(pow (+ (* a a) (* b b)) 2.0)
31.0ms	(* (* b b) (+ 3.0 a))
101.0ms	(exp (log (pow (+ (* a a) (* b b)) 2.0)))
96.0ms	(log (pow (+ (* a a) (* b b)) 2.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	332	551
1	1469	502
2	5002	490

prune313.0ms

Filtered

90 candidates to 55 candidates (61.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.3b	(* (pow a 2) (pow b 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
28×	`prod-exp`
24×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`associate-l`
10×	`add-cbrt-cube` `unpow2` `sqr-pow`
9×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-log-exp`
4×	`cbrt-unprod`
2×	`pow-prod-down` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 87

Calls

3 calls:

4.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
8.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(* (pow a 2) (pow b 2))

series117.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
38.0ms	(* 2 (* (pow a 2) (pow b 2)))
31.0ms	(* (pow a 2) (pow b 2))

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	297	518
1	1270	444
2	5001	432

prune234.0ms

Filtered

96 candidates to 47 candidates (49.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

regimes346.0ms

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	25	14
1	25	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

20238×

body

valid

Details

sample68.0ms

simplify72.0ms

prune4.0ms

localize20.0ms

rewrite30.0ms

series291.0ms

simplify64.0ms

prune344.0ms

localize22.0ms

rewrite31.0ms

series568.0ms

simplify50.0ms

prune404.0ms

localize25.0ms

rewrite25.0ms

series333.0ms

simplify43.0ms

prune313.0ms

localize13.0ms

rewrite22.0ms

series117.0ms

simplify49.0ms

prune234.0ms

regimes346.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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