Details

sample35.0ms

Algorithm

intervals

Results

18.0ms

355×

body

valid

simplify103.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize13.0ms

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)
4.8b	(* (* (* y 9.0) z) t)

rewrite33.0ms

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:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
7.0ms	(* (* y 9.0) z)
22.0ms	(* (* (* y 9.0) z) t)

series290.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
167.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
19.0ms	(* (* y 9.0) z)
31.0ms	(* (* (* y 9.0) z) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

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

prune251.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* y 9.0) z)
0.3b	(* (* a 27.0) b)
4.8b	(* (* (* y 9.0) z) t)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
7.0ms	(* (* y 9.0) z)
7.0ms	(* (* a 27.0) b)
22.0ms	(* (* (* y 9.0) z) t)

series148.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
19.0ms	(* (* y 9.0) z)
22.0ms	(* (* a 27.0) b)
31.0ms	(* (* (* y 9.0) z) t)

simplify66.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	371	417
1	1863	351
2	5001	351

prune255.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

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))
4.9b	(* t (* z y))

rewrite30.0ms

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:

0.0ms	(fma 2.0 x (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
15.0ms	(* 9.0 (* t (* z y)))
6.0ms	(* 27.0 (* a b))
6.0ms	(* t (* z y))

series246.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(fma 2.0 x (- (* 27.0 (* a b)) (* 9.0 (* t (* z y)))))
31.0ms	(* 9.0 (* t (* z y)))
25.0ms	(* 27.0 (* a b))
28.0ms	(* t (* z y))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

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

prune227.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt 9.0) (* t (* z y)))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t (* z y))))
0.3b	(* 27.0 (* a b))
4.9b	(* t (* z y))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

55×	`pow1` `add-exp-log`
38×	`add-cbrt-cube`
36×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod`

Counts

4 → 102

Calls

4 calls:

17.0ms	(* (cbrt 9.0) (* t (* z y)))
55.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t (* z y))))
6.0ms	(* 27.0 (* a b))
6.0ms	(* t (* z y))

series218.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (cbrt 9.0) (* t (* z y)))
91.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* t (* z y))))
22.0ms	(* 27.0 (* a b))
28.0ms	(* t (* z y))

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	369	703
1	1510	513
2	5001	467

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes423.0ms

Accuracy

61% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 3.6b

bsearch151.0ms

Steps

Iters	Range		Point
8	3.4398896505658946e-16	1.104094638845947e-11	2.460207391655948e-15
8	-1.2151408114760606e-216	-7.097806189218353e-221	-6.412976009518049e-217

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	27
1	47	27

end0.0ms

sample863.0ms

Algorithm

intervals

Results

487.0ms

11018×

body

valid