Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

350×

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: 5.3b

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	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
8.1b	(* (* (* y 9.0) z) t)

rewrite85.0ms

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:

9.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
18.0ms	(* (* y 9.0) z)
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
57.0ms	(* (* (* y 9.0) z) t)

series297.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
23.0ms	(* (* y 9.0) z)
168.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
31.0ms	(* (* (* y 9.0) z) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (12.0ms)

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

prune248.0ms

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	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
7.9b	(* t (* z y))

rewrite101.0ms

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`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

22.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
44.0ms	(* 9.0 (* t (* z y)))
17.0ms	(* 27.0 (* a b))
16.0ms	(* t (* z y))

series172.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
31.0ms	(* 9.0 (* t (* z y)))
22.0ms	(* 27.0 (* a b))
31.0ms	(* t (* z y))

simplify52.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	315	429
1	1266	366
2	5002	366

prune255.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* 9.0 (* (* t z) y)))
0.2b	(* 9.0 (* (* t z) y))
0.3b	(* 27.0 (* a b))
7.1b	(* (* t z) y)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

20.0ms	(- (* 27.0 (* a b)) (* 9.0 (* (* t z) y)))
47.0ms	(* 9.0 (* (* t z) y))
16.0ms	(* 27.0 (* a b))
18.0ms	(* (* t z) y)

series174.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- (* 27.0 (* a b)) (* 9.0 (* (* t z) y)))
31.0ms	(* 9.0 (* (* t z) y))
22.0ms	(* 27.0 (* a b))
32.0ms	(* (* t z) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	337	431
1	1586	368
2	5002	368

prune262.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt 9.0) (* (* t z) y))
0.3b	(* 27.0 (* a b))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* (* t z) y)))
7.1b	(* (* t z) y)

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

49.0ms	(* (cbrt 9.0) (* (* t z) y))
16.0ms	(* 27.0 (* a b))
147.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* (* t z) y)))
18.0ms	(* (* t z) y)

series216.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (cbrt 9.0) (* (* t z) y))
22.0ms	(* 27.0 (* a b))
90.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (* (* t z) y)))
29.0ms	(* (* t z) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	384	705
1	1776	515
2	5001	469

prune283.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes325.0ms

Accuracy

61% (1.4b remaining)

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

bsearch148.0ms

Steps

Iters	Range		Point
6	3.342739488459193e+178	4.3566898166639444e+179	6.392287508762893e+178
10	-2.7902820534535118e+91	-2.4980891446563173e+77	-1.0939677162331902e+80

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	33
1	55	33

end0.0ms

sample963.0ms

Algorithm

intervals

Results

439.0ms

10971×

body

valid