Details

sample75.0ms

Algorithm

intervals

Results

39.0ms

491×

body

valid

simplify144.0ms

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

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.2b	(* (* (* x 18.0) y) z)
5.4b	(* (* (* (* x 18.0) y) z) t)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (* x 18.0) y)
8.0ms	(* (* j 27.0) k)
22.0ms	(* (* (* x 18.0) y) z)
81.0ms	(* (* (* (* x 18.0) y) z) t)

series110.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
21.0ms	(* (* j 27.0) k)
26.0ms	(* (* (* x 18.0) y) z)
43.0ms	(* (* (* (* x 18.0) y) z) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	423
1	2141	320
2	5001	320

prune295.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
8.1b	(* (* (* x 18.0) y) (* z t))

rewrite890.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`diff-log`
3×	`associate-l` `*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 80

Calls

4 calls:

849.0ms	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
7.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
25.0ms	(* (* (* x 18.0) y) (* z t))

series488.0ms

Counts

4 → 12

Calls

4 calls:

404.0ms	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
19.0ms	(* (* x 18.0) y)
21.0ms	(* (* j 27.0) k)
43.0ms	(* (* (* x 18.0) y) (* z t))

simplify68.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	466	635
1	2294	514
2	5002	502

prune347.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
8.1b	(* (* (* x 18.0) y) (* z t))

rewrite887.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
4×	`diff-log`
3×	`*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 80

Calls

4 calls:

844.0ms	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
6.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
28.0ms	(* (* (* x 18.0) y) (* z t))

series488.0ms

Counts

4 → 12

Calls

4 calls:

404.0ms	(- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
20.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
47.0ms	(* (* (* x 18.0) y) (* z t))

simplify73.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	458	634
1	2183	513
2	5002	501

prune339.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
8.1b	(* (* x (* 18.0 y)) (* z t))

rewrite759.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-exp-log` `add-cbrt-cube`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r` `associate-l`
4×	`diff-log`
3×	`*-commutative`
2×	`sum-log`
1×	`associate--l-` `associate-+l-` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 80

Calls

4 calls:

722.0ms	(- (+ (- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
6.0ms	(* (* j 27.0) k)
6.0ms	(* x (* 18.0 y))
22.0ms	(* (* x (* 18.0 y)) (* z t))

series506.0ms

Counts

4 → 12

Calls

4 calls:

417.0ms	(- (+ (- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i))
18.0ms	(* (* j 27.0) k)
21.0ms	(* x (* 18.0 y))
50.0ms	(* (* x (* 18.0 y)) (* z t))

simplify68.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	466	635
1	2163	514
2	5001	502

prune291.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

58.6% (2.5b remaining)

Error of 2.6b against oracle of 0.2b and baseline of 6.1b

bsearch270.0ms

Steps

Iters	Range		Point
8	3.4184837846945914e-198	2.1185790742625726e-195	1.964482640066144e-195
9	-4.0203851881480456e-35	-9.228156431132194e-42	-2.0085162540529539e-41

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	30
1	60	30

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

16260×

body

valid