Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

375×

body

valid

simplify95.0ms

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: 1.8b

localize16.0ms

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)
5.2b	(* (* (* y 9.0) z) t)

rewrite289.0ms

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:

8.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
17.0ms	(* (* y 9.0) z)
262.0ms	(* (* (* y 9.0) z) t)

series246.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
142.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
16.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

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

prune222.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

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))
5.2b	(* (* y (* 9.0 z)) t)

rewrite73.0ms

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

Counts

4 → 69

Calls

4 calls:

8.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
15.0ms	(* y (* 9.0 z))
46.0ms	(* (* y (* 9.0 z)) t)

series262.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
138.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y (* 9.0 z)) t)))
16.0ms	(* y (* 9.0 z))
24.0ms	(* (* y (* 9.0 z)) t)

simplify59.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	303	456
1	1382	388
2	5001	388

prune205.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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))
5.2b	(* t (* z y))

rewrite93.0ms

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:

20.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
40.0ms	(* 9.0 (* t (* z y)))
15.0ms	(* 27.0 (* a b))
16.0ms	(* t (* z y))

series142.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
26.0ms	(* 9.0 (* t (* z y)))
18.0ms	(* 27.0 (* a b))
25.0ms	(* t (* z y))

simplify51.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

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

prune213.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* y 9.0) z)
0.5b	(* (* a 27.0) b)
5.2b	(* (* (* y 9.0) z) t)

rewrite121.0ms

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:

33.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
18.0ms	(* (* a 27.0) b)
51.0ms	(* (* (* y 9.0) z) t)

series185.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
15.0ms	(* (* y 9.0) z)
18.0ms	(* (* a 27.0) b)
23.0ms	(* (* (* y 9.0) z) t)

simplify69.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (62.0ms)

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

prune226.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes659.0ms

Accuracy

81.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.4b

bsearch88.0ms

Steps

Iters	Range		Point
5	4.081248234608994e+41	1.106136250153738e+42	4.31252594336353e+41
8	-2.307420594579941e-34	-7.748694156445747e-39	-3.382828072536658e-36

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	21
1	47	21

end0.0ms

sample906.0ms

Algorithm

intervals

Results

420.0ms

11014×

body

valid