Details

sample109.0ms

Algorithm

intervals

Results

72.0ms

541×

body

valid

simplify140.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.4b	(* (* (* x 18.0) y) z)
6.3b	(* (* (* (* x 18.0) y) z) t)

rewrite116.0ms

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:

6.0ms	(* (* x 18.0) y)
8.0ms	(* (* j 27.0) k)
21.0ms	(* (* (* x 18.0) y) z)
78.0ms	(* (* (* (* x 18.0) y) z) t)

series107.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
19.0ms	(* (* 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 (11.0ms)

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

prune298.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

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)) (* (* j 27.0) k))
0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
8.3b	(* (* (* x 18.0) y) (* z t))

rewrite3.6s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.5s	(- (- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
6.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
24.0ms	(* (* (* x 18.0) y) (* z t))

series2.8s

Counts

4 → 12

Calls

4 calls:

2.7s	(- (- (+ (- (* (* (* x 18.0) y) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
44.0ms	(* (* (* x 18.0) y) (* z t))

simplify69.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	457	709
1	2221	587
2	5001	576

prune327.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)) (* (* j 27.0) k))
0.2b	(* (* j 27.0) k)
5.1b	(* y (* z t))
6.1b	(* (* x 18.0) (* y (* z t)))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

2.5s	(- (- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
6.0ms	(* (* j 27.0) k)
6.0ms	(* y (* z t))
19.0ms	(* (* x 18.0) (* y (* z t)))

series3.0s

Counts

4 → 12

Calls

4 calls:

2.9s	(- (- (+ (- (* (* x 18.0) (* y (* z t))) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
17.0ms	(* (* j 27.0) k)
21.0ms	(* y (* z t))
45.0ms	(* (* x 18.0) (* y (* z t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	448	706
1	2039	587
2	5001	576

prune340.0ms

Pruning

10 alts after pruning (10 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)) (* (* j 27.0) k))
0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
8.3b	(* (* x (* 18.0 y)) (* z t))

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.0s	(- (- (+ (- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
6.0ms	(* x (* 18.0 y))
6.0ms	(* (* j 27.0) k)
21.0ms	(* (* x (* 18.0 y)) (* z t))

series2.8s

Counts

4 → 12

Calls

4 calls:

2.7s	(- (- (+ (- (* (* x (* 18.0 y)) (* z t)) (* (* a 4.0) t)) (* b c)) (* (* x 4.0) i)) (* (* j 27.0) k))
22.0ms	(* x (* 18.0 y))
17.0ms	(* (* j 27.0) k)
42.0ms	(* (* x (* 18.0 y)) (* z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	457	709
1	2090	587
2	5001	576

prune270.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.2s

Accuracy

68.7% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 5.2b

bsearch204.0ms

Steps

Iters	Range		Point
8	7.009155286567854e-74	1.622113868857449e-70	4.759497765914936e-71
4	-1.3380635857703923e-15	-7.026488923770724e-16	-1.1584820374886858e-15

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	35
1	66	35

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.1s

16378×

body

valid