Details

sample100.0ms

Algorithm

intervals

Results

66.0ms

501×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
2.2b	(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.7b	(* (* (* 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)

series2.9s

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x 18.0) y)
18.0ms	(* (* 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))))
27.0ms	(* (* (* x 18.0) y) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (10.0ms)

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

prune346.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 18.0 y))
0.5b	(* (* j 27.0) k)
2.2b	(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.7b	(* (* x (* 18.0 y)) z)

rewrite35.0ms

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))
7.0ms	(* (* 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))))
20.0ms	(* (* x (* 18.0 y)) z)

series2.8s

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 18.0 y))
18.0ms	(* (* 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))))
27.0ms	(* (* x (* 18.0 y)) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	324	447
1	1471	364
2	5001	364

prune329.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 18.0 y))
0.5b	(* (* j 27.0) k)
2.2b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.7b	(* (* x (* 18.0 y)) z)

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate-*r/` `prod-diff`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

6.0ms	(* x (* 18.0 y))
6.0ms	(* (* j 27.0) k)
70.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
20.0ms	(* (* x (* 18.0 y)) z)

series180.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* x (* 18.0 y))
18.0ms	(* (* j 27.0) k)
114.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
27.0ms	(* (* x (* 18.0 y)) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	426	526
1	2016	446
2	5001	446

prune400.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 18.0 y))
0.5b	(* j (* 27.0 k))
2.2b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.7b	(* (* x (* 18.0 y)) z)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate-*r/` `prod-diff`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

6.0ms	(* x (* 18.0 y))
8.0ms	(* j (* 27.0 k))
70.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
20.0ms	(* (* x (* 18.0 y)) z)

series183.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (* 18.0 y))
18.0ms	(* j (* 27.0 k))
115.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
27.0ms	(* (* x (* 18.0 y)) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	418	525
1	1905	445
2	5001	445

prune364.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.5b

regimes1.1s

Accuracy

57.8% (1.4b remaining)

Error of 3.7b against oracle of 2.3b and baseline of 5.6b

bsearch270.0ms

Steps

Iters	Range		Point
8	9.524320355945881e+24	6.439524087744112e+27	2.0209759102865675e+25
7	-1.2561178174468834e+21	-2.556618756682774e+19	-9.434092849279251e+20

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	25
1	59	25

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.1s

16042×

body

valid