Details

sample114.0ms

Algorithm

intervals

Results

72.0ms

509×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

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

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
4.3b	(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)

rewrite37.0ms

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:

7.0ms	(* (* 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)

series2.6s

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* x 18.0) y)
4.0ms	(* (* j 27.0) k)
2.6s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
8.0ms	(* (* (* x 18.0) y) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

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

prune991.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt k)
0.7b	(cbrt k)
4.3b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (* j 27.0) (* (cbrt k) (cbrt k))) (cbrt k)))))
4.4b	(* (* (* x 18.0) y) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r`
2×	`pow1/3`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

4 → 59

Calls

4 calls:

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

series2.5s

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt k)
10.0ms	(cbrt k)
2.5s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (* j 27.0) (* (cbrt k) (cbrt k))) (cbrt k)))))
9.0ms	(* (* (* x 18.0) y) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	248	437
1	1074	368
2	5001	362

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* j (* 27.0 k))
4.3b	(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)

rewrite37.0ms

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)))))
23.0ms	(* (* (* x 18.0) y) z)

series2.5s

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* x 18.0) y)
4.0ms	(* j (* 27.0 k))
2.5s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
8.0ms	(* (* (* x 18.0) y) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (12.0ms)

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

prune982.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.9b

localize26.0ms

Local error

Found 4 expressions with local error:

4.3b	(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)
4.4b	(* (* (* x 18.0) y) z)
4.4b	(* (* (* x 18.0) y) z)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`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 → 79

Calls

4 calls:

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)
21.0ms	(* (* (* x 18.0) y) z)
23.0ms	(* (* (* x 18.0) y) z)

series2.5s

Counts

4 → 12

Calls

4 calls:

2.5s	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
7.0ms	(* (* (* x 18.0) y) z)
8.0ms	(* (* (* x 18.0) y) z)
8.0ms	(* (* (* x 18.0) y) z)

simplify43.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	205	533
1	957	424
2	5001	424

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.9b

regimes2.8s

Accuracy

37.7% (2.1b remaining)

Error of 4.5b against oracle of 2.3b and baseline of 5.8b

bsearch121.0ms

Steps

Iters	Range		Point
9	1.3498526828258201e-145	5.309180603141926e-137	4.1450304107497156e-137
6	-4.364006680873943e-150	-5.9974229474343294e-151	-1.1678144468631127e-150

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	26
1	60	26
2	60	26

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.3s

16324×

body

valid