Details

sample80.0ms

Algorithm

intervals

Results

37.0ms

515×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.6b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.4b	(* (* (* x 18.0) y) z)

rewrite36.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
21.0ms	(* (* (* x 18.0) y) z)

series3.1s

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
3.0s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
27.0ms	(* (* (* x 18.0) y) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	447
1	1657	364
2	5001	364

prune344.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x 18.0) (* y z)) (* a 4.0))
0.2b	(* (* j 27.0) k)
3.6b	(fma t (- (* (* x 18.0) (* y z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.4b	(* (* x 18.0) (* y z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

12.0ms	(- (* (* x 18.0) (* y z)) (* a 4.0))
6.0ms	(* (* j 27.0) k)
0.0ms	(fma t (- (* (* x 18.0) (* y z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
10.0ms	(* (* x 18.0) (* y z))

series3.0s

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* (* x 18.0) (* y z)) (* a 4.0))
30.0ms	(* (* j 27.0) k)
2.8s	(fma t (- (* (* x 18.0) (* y z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
26.0ms	(* (* x 18.0) (* y z))

simplify54.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	369	510
1	1539	429
2	5002	428

prune333.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* 18.0 (* y z))
3.6b	(fma t (- (* x (* 18.0 (* y z))) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.5b	(* x (* 18.0 (* y z)))

rewrite29.0ms

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*`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (* j 27.0) k)
6.0ms	(* 18.0 (* y z))
0.0ms	(fma t (- (* x (* 18.0 (* y z))) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
15.0ms	(* x (* 18.0 (* y z)))

series2.9s

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* j 27.0) k)
18.0ms	(* 18.0 (* y z))
2.8s	(fma t (- (* x (* 18.0 (* y z))) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
29.0ms	(* x (* 18.0 (* y z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	312	445
1	1351	362
2	5002	362

prune358.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
3.6b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.4b	(* (* (* x 18.0) y) z)

rewrite39.0ms

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-r*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
0.0ms	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
24.0ms	(* (* (* x 18.0) y) z)

series2.9s

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
18.0ms	(* j (* 27.0 k))
2.9s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
27.0ms	(* (* (* x 18.0) y) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	318	446
1	1546	363
2	5002	363

prune310.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.6b

regimes924.0ms

Accuracy

44.1% (2.3b remaining)

Error of 4.7b against oracle of 2.4b and baseline of 6.5b

bsearch210.0ms

Steps

Iters	Range		Point
5	5.668577766069829e-170	1.443872945689513e-169	1.1132970895009035e-169
9	-1.7231307467541279e-127	-1.5054313574613101e-133	-4.057206776567972e-131

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	21
1	58	21
2	58	21

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s

16076×

body

valid