Details

sample71.0ms

Algorithm

intervals

Results

35.0ms

509×

body

valid

simplify143.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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: 5.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
4.3b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite119.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
83.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
20.0ms	(* (* (* x 18.0) y) z)

series176.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
111.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune317.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt k)
0.7b	(cbrt k)
4.3b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

0.0ms	(cbrt k)
1.0ms	(cbrt k)
82.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
20.0ms	(* (* (* x 18.0) y) z)

series487.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt k)
169.0ms	(cbrt k)
110.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	316	406
1	1497	351
2	5001	345

prune395.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.7b

localize24.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* (* x 18.0) y) z)
7.4b	(cbrt (* (* j 27.0) k))
7.4b	(cbrt (* (* j 27.0) k))
7.4b	(cbrt (* (* j 27.0) k))

rewrite36.0ms

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:

20.0ms	(* (* (* x 18.0) y) z)
5.0ms	(cbrt (* (* j 27.0) k))
5.0ms	(cbrt (* (* j 27.0) k))
5.0ms	(cbrt (* (* j 27.0) k))

series315.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* (* x 18.0) y) z)
94.0ms	(cbrt (* (* j 27.0) k))
94.0ms	(cbrt (* (* j 27.0) k))
100.0ms	(cbrt (* (* j 27.0) k))

simplify36.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (31.0ms)

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

prune354.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* j (* 27.0 k))
4.3b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite131.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
84.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
32.0ms	(* (* (* x 18.0) y) z)

series180.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
22.0ms	(* j (* 27.0 k))
112.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
27.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune302.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.7b

regimes928.0ms

Accuracy

34.8% (2.3b remaining)

Error of 4.6b against oracle of 2.3b and baseline of 5.8b

bsearch285.0ms

Steps

Iters	Range		Point
9	1.3498526828258201e-145	5.309180603141926e-137	4.1450304107497156e-137
8	-1.6474315949121858e-156	-3.435240758532589e-159	-2.8273924999408904e-158

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	54
1	78	54
2	81	54
3	81	54

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16324×

body

valid