Details

sample64.0ms

Algorithm

intervals

Results

45.0ms

658×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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

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

rewrite29.0ms

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

series311.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
51.0ms	(* (* a a) (+ 1.0 a))
48.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
106.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	504	702
1	2520	622
2	5002	622

prune236.0ms

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

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
0.1b	(* (* a a) (- (* 1.0 1.0) (* a a)))
0.1b	(* (* b b) (- 1.0 (* 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite35.0ms

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:

12.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
8.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series351.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ (* (* a a) (- (* 1.0 1.0) (* a a))) (- 1.0 a))
78.0ms	(* (* a a) (- (* 1.0 1.0) (* a a)))
49.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
106.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify89.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (17.0ms)

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

prune278.0ms

Filtered

111 candidates to 73 candidates (65.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	111	7	118

Merged error: 0.0b

Counts

118 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.2b	(* (pow a 2) (pow b 2))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

11.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
5.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(* (pow a 2) (pow b 2))

series174.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
54.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
36.0ms	(* 2 (* (pow a 2) (pow b 2)))
32.0ms	(* (pow a 2) (pow b 2))

simplify58.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	375	744
1	1789	623
2	5001	616

prune215.0ms

Filtered

113 candidates to 60 candidates (53.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* b b) (- 1.0 (* 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
3.3b	(exp (log (* (* b b) (- 1.0 (* 3.0 a)))))
19.6b	(log (* (* b b) (- 1.0 (* 3.0 a))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1`
16×	`add-exp-log`
9×	`add-sqr-sqrt` `pow-prod-down` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`exp-prod` `associate-*r/` `prod-exp` `log-pow`
4×	`log-div` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `rem-log-exp` `associate-r` `flip--` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `log-prod` `distribute-lft-in` `exp-diff`
1×	`pow-to-exp` `pow-pow` `associate-l` `exp-sum` `pow-exp` `*-commutative` `rem-exp-log` `unswap-sqr` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

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

series307.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
101.0ms	(pow (+ (* a a) (* b b)) 2.0)
48.0ms	(exp (log (* (* b b) (- 1.0 (* 3.0 a)))))
104.0ms	(log (* (* b b) (- 1.0 (* 3.0 a))))

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	407	561
1	1817	497
2	5001	497

prune233.0ms

Filtered

87 candidates to 57 candidates (65.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

regimes113.0ms

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	19
1	29	19

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

20498×

body

valid