Details

sample76.0ms

Algorithm

intervals

Results

38.0ms

520×

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

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite127.0ms

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:

7.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
89.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
22.0ms	(* (* (* x 18.0) y) z)

series178.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
115.0ms	(* 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	406	472
1	2141	393
2	5001	393

prune335.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* x (* 18.0 y))
3.1b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.4b	(* (* x (* 18.0 y)) z)

rewrite109.0ms

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:

7.0ms	(* (* j 27.0) k)
6.0ms	(* x (* 18.0 y))
75.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
18.0ms	(* (* x (* 18.0 y)) z)

series181.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
24.0ms	(* x (* 18.0 y))
112.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
28.0ms	(* (* x (* 18.0 y)) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	404	472
1	1945	393
2	5002	393

prune512.0ms

Filtered

93 candidates to 50 candidates (53.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
3.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite127.0ms

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:

7.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
90.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
22.0ms	(* (* (* x 18.0) y) z)

series178.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
113.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune330.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.3b

localize25.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* x (* 18.0 y)) z)
9.9b	(cbrt (* (* j 27.0) k))
9.9b	(cbrt (* (* j 27.0) k))
9.9b	(cbrt (* (* j 27.0) k))

rewrite35.0ms

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:

18.0ms	(* (* 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))

series308.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x (* 18.0 y)) z)
92.0ms	(cbrt (* (* j 27.0) k))
93.0ms	(cbrt (* (* j 27.0) k))
97.0ms	(cbrt (* (* j 27.0) k))

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	241	318
1	946	269
2	5001	245

prune297.0ms

Filtered

60 candidates to 45 candidates (75.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.3b

regimes984.0ms

Accuracy

53.6% (1.6b remaining)

Error of 3.7b against oracle of 2.1b and baseline of 5.5b

bsearch279.0ms

Steps

Iters	Range		Point
8	3.0414538285494523e-93	9.851737786659822e-89	1.310910086329059e-90
10	-1.1909531196273839e+89	-1.9846701566986275e+73	-4.691086308074746e+73

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	45
1	71	45

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16184×

body

valid