Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

365×

body

valid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune13.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize18.0ms

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)
5.7b	(* (* (* y 9.0) z) t)

rewrite48.0ms

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:

12.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
6.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series239.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
24.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify78.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (69.0ms)

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

prune288.0ms

Filtered

96 candidates to 61 candidates (63.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)
5.7b	(* (* (* y 9.0) z) t)

rewrite29.0ms

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:

0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series229.0ms

Counts

3 → 9

Calls

3 calls:

182.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify47.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (11.0ms)

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

prune192.0ms

Filtered

62 candidates to 39 candidates (62.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
0.2b	(* (* y 9.0) z)
0.2b	(* 27.0 (* a b))
5.7b	(* (* (* y 9.0) z) t)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity`
9×	`add-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt`
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-+` `distribute-lft-out`

Counts

4 → 85

Calls

4 calls:

14.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
6.0ms	(* (* y 9.0) z)
6.0ms	(* 27.0 (* a b))
21.0ms	(* (* (* y 9.0) z) t)

series238.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (pow (* 27.0 (* a b)) 1))
19.0ms	(* (* y 9.0) z)
28.0ms	(* 27.0 (* a b))
29.0ms	(* (* (* y 9.0) z) t)

simplify70.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	384	529
1	1857	442
2	5002	432

prune308.0ms

Filtered

97 candidates to 61 candidates (62.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (fma (* t (* y 9.0)) z (* (- 27.0) (* a b))))
0.2b	(* t (* y 9.0))
0.2b	(* (- 27.0) (* a b))
3.9b	(fma (* t (* y 9.0)) z (* (- 27.0) (* a b)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

3.0ms	(- (* x 2.0) (fma (* t (* y 9.0)) z (* (- 27.0) (* a b))))
6.0ms	(* t (* y 9.0))
8.0ms	(* (- 27.0) (* a b))
0.0ms	(fma (* t (* y 9.0)) z (* (- 27.0) (* a b)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(- (* x 2.0) (fma (* t (* y 9.0)) z (* (- 27.0) (* a b))))
21.0ms	(* t (* y 9.0))
23.0ms	(* (- 27.0) (* a b))
88.0ms	(fma (* t (* y 9.0)) z (* (- 27.0) (* a b)))

simplify56.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	363	613
1	1344	495
2	5001	489

prune283.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes681.0ms

Accuracy

83% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 3.6b

bsearch163.0ms

Steps

Iters	Range		Point
8	2.6577539363241674e+17	6.874028121773348e+20	8.915870682912425e+17
9	-1.1851374698435839e-09	-3.4051578650744824e-17	-9.929854197781163e-14

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	15
1	45	15

end0.0ms

sample869.0ms

Algorithm

intervals

Results

471.0ms

11072×

body

valid