Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

352×

body

valid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.2b	(* (* a 27.0) b)
0.3b	(* (* y 9.0) z)
5.2b	(* (* (* y 9.0) z) t)

rewrite40.0ms

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

Counts

4 → 79

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
7.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) z)
21.0ms	(* (* (* y 9.0) z) t)

series159.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
22.0ms	(* (* a 27.0) b)
24.0ms	(* (* y 9.0) z)
29.0ms	(* (* (* y 9.0) z) t)

simplify73.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	371	417
1	1863	351
2	5001	351

prune264.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* t (* z y)))
0.3b	(* (* y 9.0) z)
3.2b	(* (* (* y 9.0) z) (+ (- t) t))
5.2b	(* t (* z y))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-l`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-out` `*-commutative` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`distribute-rgt-neg-in`
2×	`neg-mul-1` `distribute-lft1-in` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 100

Calls

4 calls:

27.0ms	(* 9.0 (* t (* z y)))
12.0ms	(* (* y 9.0) z)
41.0ms	(* (* (* y 9.0) z) (+ (- t) t))
6.0ms	(* t (* z y))

series95.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* 9.0 (* t (* z y)))
19.0ms	(* (* y 9.0) z)
2.0ms	(* (* (* y 9.0) z) (+ (- t) t))
43.0ms	(* t (* z y))

simplify100.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	418	507
1	2503	377
2	5003	309

prune364.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 27.0) b)
0.3b	(* (* y 9.0) z)
3.2b	(* (* (* y 9.0) z) (+ (- t) t))
5.3b	(* (* 9.0 t) (* z y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
20×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-out` `associate-l` `*-commutative` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`distribute-rgt-neg-in`
2×	`neg-mul-1` `distribute-lft1-in` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 101

Calls

4 calls:

7.0ms	(* (* a 27.0) b)
6.0ms	(* (* y 9.0) z)
36.0ms	(* (* (* y 9.0) z) (+ (- t) t))
10.0ms	(* (* 9.0 t) (* z y))

series79.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* a 27.0) b)
19.0ms	(* (* y 9.0) z)
2.0ms	(* (* (* y 9.0) z) (+ (- t) t))
36.0ms	(* (* 9.0 t) (* z y))

simplify111.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	501	522
1	2980	383
2	5001	315

prune343.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.3b	(* (* y 9.0) z)
0.3b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
5.2b	(* (* (* y 9.0) z) t)

rewrite35.0ms

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:

3.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
6.0ms	(* (* y 9.0) z)
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
24.0ms	(* (* (* y 9.0) z) t)

series299.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
19.0ms	(* (* y 9.0) z)
171.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
29.0ms	(* (* (* y 9.0) z) t)

simplify66.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (14.0ms)

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

prune245.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes793.0ms

Accuracy

87.8% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	25
1	52	25

end0.0ms

sample849.0ms

Algorithm

intervals

Results

465.0ms

11045×

body

valid