Details

sample75.0ms

Algorithm

intervals

Results

51.0ms

689×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4946	31
1	4946	31

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize17.0ms

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))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
1.0b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite33.0ms

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:

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

series67.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
6.0ms	(* (* a a) (+ 1.0 a))
26.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify25.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5694	1297

prune185.0ms

Filtered

63 candidates to 91 candidates (-44.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	8	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (pow (sqrt (+ (* b b) (* a a))) 2.0) (pow (sqrt (+ (* b b) (* a a))) 2.0))
1.0b	(* (* b b) (- 1.0 (* 3.0 a)))
7.8b	(sqrt (+ (* b b) (* a a)))
7.8b	(sqrt (+ (* b b) (* a a)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`unpow-prod-down`
28×	`sqrt-prod`
21×	`add-exp-log`
19×	`add-cube-cbrt` `*-un-lft-identity`
17×	`unswap-sqr`
13×	`associate-r`
12×	`swap-sqr` `prod-exp` `sqr-pow`
11×	`pow1` `associate-l` `add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`sqrt-div` `pow-prod-down` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `flip3-+` `pow1/2` `associate-r/` `-commutative` `flip-+`
1×	`pow2` `flip3--` `pow-sqr` `pow-prod-up` `flip--`

Counts

4 → 125

Calls

4 calls:

16.0ms	(* (pow (sqrt (+ (* b b) (* a a))) 2.0) (pow (sqrt (+ (* b b) (* a a))) 2.0))
8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(sqrt (+ (* b b) (* a a)))
4.0ms	(sqrt (+ (* b b) (* a a)))

series57.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (pow (sqrt (+ (* b b) (* a a))) 2.0) (pow (sqrt (+ (* b b) (* a a))) 2.0))
8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
6.0ms	(sqrt (+ (* b b) (* a a)))
6.0ms	(sqrt (+ (* b b) (* a a)))

simplify64.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5055	2116

prune210.0ms

Filtered

80 candidates to 137 candidates (-71.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	7	0	7
Picked	0	1	1
Done	0	0	0
Total	142	3	145

Merged error: 0b

Counts

145 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (sqrt (+ (* b b) (* a a))) (+ 2.0 2.0)) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
1.0b	(* (* b b) (- 1.0 (* 3.0 a)))
7.8b	(sqrt (+ (* b b) (* a a)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

14.0ms	(+ (pow (sqrt (+ (* b b) (* a a))) (+ 2.0 2.0)) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
9.0ms	(* (* a a) (+ 1.0 a))
9.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(sqrt (+ (* b b) (* a a)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (pow (sqrt (+ (* b b) (* a a))) (+ 2.0 2.0)) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
6.0ms	(* (* a a) (+ 1.0 a))
8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
6.0ms	(sqrt (+ (* b b) (* a a)))

simplify24.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5677	1262

prune150.0ms

Filtered

61 candidates to 89 candidates (-45.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (pow (sqrt (+ (* b b) (* a a))) 2.0) 6)
1.0b	(* (* b b) (- 1.0 (* 3.0 a)))
7.8b	(sqrt (+ (* b b) (* a a)))
29.7b	(cbrt (pow (pow (sqrt (+ (* b b) (* a a))) 2.0) 6))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`unpow-prod-down`
16×	`add-sqr-sqrt`
14×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log`
10×	`pow1`
9×	`sqrt-prod` `add-cbrt-cube`
4×	`pow-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`rem-sqrt-square` `flip3--` `pow-pow` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `associate-l` `*-commutative` `flip--` `flip-+` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

7.0ms	(pow (pow (sqrt (+ (* b b) (* a a))) 2.0) 6)
8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(sqrt (+ (* b b) (* a a)))
8.0ms	(cbrt (pow (pow (sqrt (+ (* b b) (* a a))) 2.0) 6))

series93.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(pow (pow (sqrt (+ (* b b) (* a a))) 2.0) 6)
8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
9.0ms	(sqrt (+ (* b b) (* a a)))
37.0ms	(cbrt (pow (pow (sqrt (+ (* b b) (* a a))) 2.0) 6))

simplify43.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4934	1365
1	4934	1365

prune171.0ms

Filtered

63 candidates to 100 candidates (-58.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	100	3	103

Merged error: 0b

Counts

103 → 3

regimes119.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	34
1	29	34

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

20932×

body

valid

Details

sample75.0ms

simplify85.0ms

prune7.0ms

localize17.0ms

rewrite33.0ms

series67.0ms

simplify25.0ms

prune185.0ms

localize21.0ms

rewrite38.0ms

series57.0ms

simplify64.0ms

prune210.0ms

localize19.0ms

rewrite38.0ms

series44.0ms

simplify24.0ms

prune150.0ms

localize21.0ms

rewrite31.0ms

series93.0ms

simplify43.0ms

prune171.0ms

regimes119.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling