Details

sample74.0ms

Algorithm

intervals

Results

31.0ms

499×

body

valid

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
3.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.8b	(* (* (* x 18.0) y) z)

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
16.0ms	(* (* j 27.0) k)
199.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
52.0ms	(* (* (* x 18.0) y) z)

series182.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
115.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune303.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
3.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.8b	(* (* (* x 18.0) y) z)

rewrite279.0ms

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×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

16.0ms	(* (* x 18.0) y)
15.0ms	(* j (* 27.0 k))
195.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
51.0ms	(* (* (* x 18.0) y) z)

series177.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
20.0ms	(* j (* 27.0 k))
110.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
27.0ms	(* (* (* x 18.0) y) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	398	471
1	2030	392
2	5001	392

prune307.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize24.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (* (* x 18.0) y) z)
8.5b	(cbrt (* j (* 27.0 k)))
8.5b	(cbrt (* j (* 27.0 k)))
8.5b	(cbrt (* j (* 27.0 k)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

51.0ms	(* (* (* x 18.0) y) z)
10.0ms	(cbrt (* j (* 27.0 k)))
12.0ms	(cbrt (* j (* 27.0 k)))
10.0ms	(cbrt (* j (* 27.0 k)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* (* x 18.0) y) z)
97.0ms	(cbrt (* j (* 27.0 k)))
95.0ms	(cbrt (* j (* 27.0 k)))
98.0ms	(cbrt (* j (* 27.0 k)))

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	235	317
1	974	268
2	5002	244

prune319.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.5b

localize27.0ms

Local error

Found 4 expressions with local error:

3.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.8b	(* (* (* x 18.0) y) z)
8.5b	(cbrt (* j (* 27.0 k)))
8.5b	(cbrt (* j (* 27.0 k)))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`associate-l` `add-log-exp`
2×	`cbrt-prod` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `associate-r/` `-commutative`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

190.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
49.0ms	(* (* (* x 18.0) y) z)
10.0ms	(cbrt (* j (* 27.0 k)))
12.0ms	(cbrt (* j (* 27.0 k)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
27.0ms	(* (* (* x 18.0) y) z)
96.0ms	(cbrt (* j (* 27.0 k)))
92.0ms	(cbrt (* j (* 27.0 k)))

simplify49.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	366	464
1	1584	401
2	5001	385

prune379.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.5b

regimes891.0ms

Accuracy

25.5% (2.6b remaining)

Error of 4.8b against oracle of 2.2b and baseline of 5.7b

bsearch155.0ms

Steps

Iters	Range		Point
1	1.282502048987904e-107	1.3622624959172323e-107	1.302442160720236e-107
10	-9.79192658284743e-125	-9.554323149868755e-136	-7.134460016204639e-127

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	49
1	85	49
2	88	49
3	88	49

end0.0ms

sample2.1s

Algorithm

intervals

Results

995.0ms

16150×

body

valid