Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

358×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune12.0ms

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: 1.3b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.2b	(* (* y 9.0) z)
3.6b	(* (* (* y 9.0) z) t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

4.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
5.0ms	(* (* y 9.0) z)
7.0ms	(* (* (* y 9.0) z) t)

series270.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
155.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
18.0ms	(* (* y 9.0) z)
26.0ms	(* (* (* y 9.0) z) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	306	456
1	1445	388
2	5001	388

prune222.0ms

Filtered

81 candidates to 55 candidates (67.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	76	5	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Merged error: 0.0b

Counts

83 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y 9.0) z)
0.2b	(* 9.0 (* t (* z y)))
1.2b	(* (* (* y 9.0) z) (+ (- t) t))
3.6b	(* t (* z y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-l`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-out` `*-commutative` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`distribute-rgt-neg-in`
2×	`neg-mul-1` `distribute-lft1-in` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 100

Calls

4 calls:

5.0ms	(* (* y 9.0) z)
7.0ms	(* 9.0 (* t (* z y)))
13.0ms	(* (* (* y 9.0) z) (+ (- t) t))
5.0ms	(* t (* z y))

series79.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* y 9.0) z)
28.0ms	(* 9.0 (* t (* z y)))
1.0ms	(* (* (* y 9.0) z) (+ (- t) t))
31.0ms	(* t (* z y))

simplify88.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	418	507
1	2503	377
2	5003	309

prune280.0ms

Filtered

112 candidates to 68 candidates (60.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	111	7	118

Merged error: 0.0b

Counts

118 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma a (* 27.0 b) (+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* (* y 9.0) z) (+ (- t) t))))
0.2b	(* (* y 9.0) z)
1.2b	(* (* (* y 9.0) z) (+ (- t) t))
3.7b	(* (* 9.0 t) (* z y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-out` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`distribute-rgt-neg-in` `associate-l` `*-commutative`
2×	`neg-mul-1` `distribute-lft1-in` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma a (* 27.0 b) (+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* (* y 9.0) z) (+ (- t) t))))
5.0ms	(* (* y 9.0) z)
12.0ms	(* (* (* y 9.0) z) (+ (- t) t))
7.0ms	(* (* 9.0 t) (* z y))

series210.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(fma a (* 27.0 b) (+ (- (* 2.0 x) (* (* 9.0 t) (* z y))) (* (* (* y 9.0) z) (+ (- t) t))))
18.0ms	(* (* y 9.0) z)
1.0ms	(* (* (* y 9.0) z) (+ (- t) t))
32.0ms	(* (* 9.0 t) (* z y))

simplify94.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	449	633
1	2621	479
2	5003	411

prune248.0ms

Filtered

103 candidates to 60 candidates (58.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	103	7	110

Merged error: 0.0b

Counts

110 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* (* y 9.0) z)
3.6b	(* (* (* y 9.0) z) t)

rewrite25.0ms

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:

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

series215.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
20.0ms	(* (* a 27.0) b)
21.0ms	(* (* y 9.0) z)
26.0ms	(* (* (* y 9.0) z) t)

simplify70.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (60.0ms)

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

prune196.0ms

Filtered

96 candidates to 62 candidates (64.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

regimes755.0ms

Accuracy

69.5% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 3.7b

bsearch159.0ms

Steps

Iters	Range		Point
9	6.416193023977715e-88	9.306558617022402e-81	7.987067879598055e-81
8	-2.724949742305167e-119	-9.849142780030835e-123	-7.959492760539374e-120

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	28
1	53	28

end0.0ms

sample944.0ms

Algorithm

intervals

Results

569.0ms

10996×

body

valid