Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

356×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	8
1	83	8
2	220	8
3	384	8
4	455	8
5	563	8
6	586	8
7	677	8
8	902	8
9	1322	8
10	1322	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.5b	(* (* y 9.0) z)
6.7b	(* (* (* y 9.0) z) t)

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

30.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
19.0ms	(* (* a 27.0) b)
17.0ms	(* (* y 9.0) z)
251.0ms	(* (* (* y 9.0) z) t)

series221.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
20.0ms	(* (* a 27.0) b)
18.0ms	(* (* y 9.0) z)
31.0ms	(* (* (* y 9.0) z) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5001	383

prune191.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
5.7b	(* (* y 9.0) (* z t))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

33.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
16.0ms	(* (* a 27.0) b)
26.0ms	(* (* y 9.0) (* z t))

series202.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
20.0ms	(* (* a 27.0) b)
28.0ms	(* (* y 9.0) (* z t))

simplify55.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	335	392
1	1577	328
2	5001	328

prune150.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
0.2b	(* 9.0 (* z t))
0.2b	(* (* a 27.0) b)
5.4b	(* y (* 9.0 (* z t)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`associate-r`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

31.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
15.0ms	(* 9.0 (* z t))
16.0ms	(* (* a 27.0) b)
40.0ms	(* y (* 9.0 (* z t)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
20.0ms	(* 9.0 (* z t))
20.0ms	(* (* a 27.0) b)
27.0ms	(* y (* 9.0 (* z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	357	453
1	1674	381
2	5002	381

prune189.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
0.2b	(* (* 9.0 z) t)
0.2b	(* (* a 27.0) b)
5.4b	(* y (* (* 9.0 z) t))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`associate-l`
3×	`*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

29.0ms	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
18.0ms	(* (* 9.0 z) t)
16.0ms	(* (* a 27.0) b)
43.0ms	(* y (* (* 9.0 z) t))

series211.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(+ (- (* x 2.0) (* y (* (* 9.0 z) t))) (* (* a 27.0) b))
18.0ms	(* (* 9.0 z) t)
20.0ms	(* (* a 27.0) b)
28.0ms	(* y (* (* 9.0 z) t))

simplify54.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	368	455
1	1884	383
2	5001	383

prune171.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes672.0ms

Accuracy

79.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	20
1	48	20

end0.0ms

sample941.0ms

Algorithm

intervals

Results

416.0ms

11096×

body

valid