Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

348×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 3.7b

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	(* (* y 9.0) z)
0.4b	(* (* a 27.0) b)
5.8b	(* (* (* y 9.0) z) t)

rewrite27.0ms

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:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
5.0ms	(* (* y 9.0) z)
5.0ms	(* (* a 27.0) b)
10.0ms	(* (* (* y 9.0) z) t)

series199.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
17.0ms	(* (* y 9.0) z)
19.0ms	(* (* a 27.0) b)
24.0ms	(* (* (* y 9.0) z) t)

simplify56.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	370	455
1	1919	383
2	5002	383

prune192.0ms

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)) (* 27.0 (* a b)))
0.2b	(* (* y 9.0) z)
0.2b	(* 27.0 (* a b))
5.8b	(* (* (* y 9.0) z) t)

rewrite23.0ms

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:

6.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
5.0ms	(* (* y 9.0) z)
4.0ms	(* 27.0 (* a b))
7.0ms	(* (* (* y 9.0) z) t)

series200.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* 27.0 (* a b)))
16.0ms	(* (* y 9.0) z)
19.0ms	(* 27.0 (* a b))
26.0ms	(* (* (* y 9.0) z) t)

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	358	454
1	1646	382
2	5002	382

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
0.2b	(* 27.0 (* a b))
6.6b	(* (* y 9.0) (* z t))

rewrite18.0ms

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-l*`
2×	`associate-+l+` `associate-r` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

3 → 55

Calls

3 calls:

6.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
5.0ms	(* 27.0 (* a b))
6.0ms	(* (* y 9.0) (* z t))

series184.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
22.0ms	(* 27.0 (* a b))
24.0ms	(* (* y 9.0) (* z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	321	391
1	1299	327
2	5002	327

prune140.0ms

Pruning

7 alts after pruning (7 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)))) (* 27.0 (* a b)))
0.2b	(* 9.0 (* z t))
0.2b	(* 27.0 (* a b))
6.5b	(* y (* 9.0 (* z t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* 27.0 (* a b)))
8.0ms	(* 9.0 (* z t))
5.0ms	(* 27.0 (* a b))
6.0ms	(* y (* 9.0 (* z t)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* 27.0 (* a b)))
16.0ms	(* 9.0 (* z t))
19.0ms	(* 27.0 (* a b))
24.0ms	(* y (* 9.0 (* z t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	343	452
1	1396	380
2	5002	380

prune223.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes621.0ms

Accuracy

77.4% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	23
1	53	23
2	53	23

end0.0ms

sample832.0ms

Algorithm

intervals

Results

459.0ms

11003×

body

valid