Details

sample54.0ms

Algorithm

intervals

Results

37.0ms

620×

body

valid

simplify76.0ms

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

localize18.0ms

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)
0.7b	(* (* 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))

series300.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
55.0ms	(* (* a a) (- 1.0 a))
104.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify68.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (15.0ms)

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

prune220.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	6	94

Merged error: 0b

Counts

94 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (+ 3.0 a))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite23.0ms

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))

series486.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* b b) (+ 3.0 a))
145.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (32.0ms)

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

prune264.0ms

Filtered

81 candidates to 64 candidates (79.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	81	6	87

Merged error: 0b

Counts

87 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
0.0b	(* 2 (* (pow a 2) (pow b 2)))
1.4b	(* (pow a 2) (pow b 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
28×	`prod-exp`
26×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
13×	`*-un-lft-identity`
12×	`pow-to-exp` `pow-exp` `add-log-exp`
11×	`associate-l`
10×	`add-cbrt-cube` `unpow2` `sqr-pow`
9×	`associate-r`
8×	`add-cube-cbrt`
5×	`pow1`
4×	`cbrt-unprod`
3×	`diff-log` `sum-log`
2×	`pow-prod-down` `*-commutative` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `flip--` `distribute-lft-out` `difference-of-squares`

Counts

3 → 94

Calls

3 calls:

11.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
8.0ms	(* (pow a 2) (pow b 2))

series125.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
41.0ms	(* 2 (* (pow a 2) (pow b 2)))
32.0ms	(* (pow a 2) (pow b 2))

simplify53.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	327	656
1	1353	573
2	5002	554

prune169.0ms

Filtered

103 candidates to 51 candidates (49.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	103	6	109

Merged error: 0b

Counts

109 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (/ 1 a) -4.0) (* 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)
0.7b	(* (* b b) (+ 3.0 a))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

9.0ms	(+ (pow (/ 1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
12.0ms	(* (* a a) (- 1.0 a))
5.0ms	(pow (/ 1 a) -4.0)
8.0ms	(* (* b b) (+ 3.0 a))

series349.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (pow (/ 1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
56.0ms	(* (* a a) (- 1.0 a))
177.0ms	(pow (/ 1 a) -4.0)
34.0ms	(* (* b b) (+ 3.0 a))

simplify75.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	602	656
1	2812	582
2	5001	579

prune215.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	108	6	114

Merged error: 0b

Counts

114 → 6

regimes151.0ms

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

sample1.6s

Algorithm

intervals

Results

1.2s

20276×

body

valid

Details

sample54.0ms

simplify76.0ms

prune3.0ms

localize18.0ms

rewrite30.0ms

series300.0ms

simplify68.0ms

prune220.0ms

localize18.0ms

rewrite23.0ms

series486.0ms

simplify40.0ms

prune264.0ms

localize12.0ms

rewrite30.0ms

series125.0ms

simplify53.0ms

prune169.0ms

localize15.0ms

rewrite37.0ms

series349.0ms

simplify75.0ms

prune215.0ms

regimes151.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

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