Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

349×

body

valid

simplify100.0ms

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: 2.4b

Counts

2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.5b	(* (* y 9.0) z)
5.6b	(* (* (* y 9.0) z) t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
6.0ms	(* (* y 9.0) z)
12.0ms	(* (* (* y 9.0) z) t)

series226.0ms

Counts

3 → 9

Calls

3 calls:

177.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
29.0ms	(* (* (* y 9.0) z) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	225	316
1	1077	256
2	5001	256

prune179.0ms

Filtered

62 candidates to 39 candidates (62.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
0.2b	(* y (* 9.0 z))
5.6b	(* (* y (* 9.0 z)) t)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`fma-udef`

Counts

3 → 53

Calls

3 calls:

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)

series216.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
19.0ms	(* y (* 9.0 z))
30.0ms	(* (* y (* 9.0 z)) t)

simplify43.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	222	316
1	999	256
2	5001	256

prune172.0ms

Filtered

62 candidates to 38 candidates (61.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	63	4	67

Merged error: 0.0b

Counts

67 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a (* 27.0 b)) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
0.2b	(* a (* 27.0 b))
0.2b	(* y (* 9.0 z))
5.6b	(* (* y (* 9.0 z)) t)

rewrite28.0ms

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(+ (* a (* 27.0 b)) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
5.0ms	(* a (* 27.0 b))
5.0ms	(* y (* 9.0 z))
7.0ms	(* (* y (* 9.0 z)) t)

series231.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(+ (* a (* 27.0 b)) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
25.0ms	(* a (* 27.0 b))
18.0ms	(* y (* 9.0 z))
28.0ms	(* (* y (* 9.0 z)) t)

simplify73.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	383	485
1	1758	412
2	5001	411

prune259.0ms

Filtered

94 candidates to 60 candidates (63.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 x (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
5.6b	(* t (* z y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

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

series248.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(fma 2.0 x (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
29.0ms	(* 9.0 (* t (* z y)))
21.0ms	(* 27.0 (* a b))
32.0ms	(* t (* z y))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	267	384
1	1037	311
2	5001	311

prune224.0ms

Filtered

85 candidates to 52 candidates (61.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

regimes280.0ms

Accuracy

81.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.6b

bsearch181.0ms

Steps

Iters	Range		Point
9	2.6896821224031567e-33	2.025978062839396e-26	4.6069142028561356e-32
8	-1.7822032022535685	-0.003945847139646359	-0.16731023103479079

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	23
1	53	23

end0.0ms

sample872.0ms

Algorithm

intervals

Results

491.0ms

10962×

body

valid