Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

337×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 3.1b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.3b	(* (* a 27.0) b)
6.8b	(* (* (* y 9.0) z) t)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 84

Calls

4 calls:

7.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
5.0ms	(* (* y 9.0) z)
5.0ms	(* (* a 27.0) b)
7.0ms	(* (* (* y 9.0) z) t)

series207.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* y 9.0) z)
23.0ms	(* (* a 27.0) b)
25.0ms	(* (* (* y 9.0) z) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	391	503
1	2058	422
2	5002	418

prune217.0ms

Filtered

96 candidates to 61 candidates (63.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
0.2b	(* 27.0 (* a b))
0.2b	(* (* y 9.0) z)
6.8b	(* (* (* y 9.0) z) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
5.0ms	(* 27.0 (* a b))
5.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

series272.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
19.0ms	(* 27.0 (* a b))
19.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

simplify59.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	379	502
1	1765	422
2	5001	417

prune201.0ms

Filtered

96 candidates to 60 candidates (62.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
0.2b	(* y (* 9.0 z))
0.3b	(* (* a 27.0) b)
6.8b	(* (* y (* 9.0 z)) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
7.0ms	(* y (* 9.0 z))
5.0ms	(* (* a 27.0) b)
7.0ms	(* (* y (* 9.0 z)) t)

series200.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
16.0ms	(* y (* 9.0 z))
19.0ms	(* (* a 27.0) b)
24.0ms	(* (* y (* 9.0 z)) t)

simplify69.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	388	503
1	1988	422
2	5001	418

prune210.0ms

Filtered

96 candidates to 62 candidates (64.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	95	10	105

Merged error: 0.0b

Counts

105 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
0.2b	(* (* y 9.0) z)
0.3b	(* (sqrt 27.0) (* a b))
6.8b	(* (* (* y 9.0) z) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-l`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

9.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
5.0ms	(* (* y 9.0) z)
6.0ms	(* (sqrt 27.0) (* a b))
7.0ms	(* (* (* y 9.0) z) t)

series157.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
16.0ms	(* (* y 9.0) z)
41.0ms	(* (sqrt 27.0) (* a b))
27.0ms	(* (* (* y 9.0) z) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	343	461
1	1652	366
2	5001	366

prune195.0ms

Filtered

104 candidates to 60 candidates (57.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	104	10	114

Merged error: 0.0b

Counts

114 → 10

regimes909.0ms

Accuracy

74.2% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.6b

bsearch114.0ms

Steps

Iters	Range		Point
6	1.4971676581126208e-85	1.2538245574299627e-84	1.2292571747376134e-84
8	-3.0968969594582504e-74	-2.043061852872462e-78	-1.958912768974763e-75

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	23
1	51	23

end0.0ms

sample926.0ms

Algorithm

intervals

Results

552.0ms

10955×

body

valid