Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

375×

body

valid

simplify89.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.4b	(* (* y 9.0) z)
0.4b	(* (* a 27.0) b)
6.7b	(* (* (* 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×	`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)
4.0ms	(* (* a 27.0) b)
6.0ms	(* (* (* y 9.0) z) t)

series251.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
26.0ms	(* (* y 9.0) z)
29.0ms	(* (* a 27.0) b)
26.0ms	(* (* (* y 9.0) z) t)

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

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

prune211.0ms

Filtered

84 candidates to 49 candidates (58.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
0.4b	(* (* a 27.0) b)
5.2b	(* (* 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-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:

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

series180.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
25.0ms	(* (* y 9.0) (* z t))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (9.0ms)

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

prune152.0ms

Filtered

64 candidates to 36 candidates (56.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
0.3b	(* 9.0 (* z t))
0.4b	(* (* a 27.0) b)
4.8b	(* 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-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:

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

series195.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
20.0ms	(* 9.0 (* z t))
18.0ms	(* (* a 27.0) b)
24.0ms	(* y (* 9.0 (* z t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

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

prune252.0ms

Filtered

84 candidates to 52 candidates (61.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* y (* 9.0 (* z t))))
0.3b	(* 9.0 (* z t))
0.3b	(* 27.0 (* a b))
4.8b	(* y (* 9.0 (* z t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

4.0ms	(- (* 27.0 (* a b)) (* y (* 9.0 (* z t))))
5.0ms	(* 9.0 (* z t))
4.0ms	(* 27.0 (* a b))
7.0ms	(* y (* 9.0 (* z t)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* 27.0 (* a b)) (* y (* 9.0 (* z t))))
19.0ms	(* 9.0 (* z t))
19.0ms	(* 27.0 (* a b))
23.0ms	(* y (* 9.0 (* z t)))

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	304	382
1	1272	323
2	5002	323

prune170.0ms

Filtered

81 candidates to 49 candidates (60.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes725.0ms

Accuracy

78.8% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.5b

bsearch114.0ms

Steps

Iters	Range		Point
6	3.0390439536195224e-49	3.820109626173322e-48	6.2360066120908535e-49
8	-3.2948767999656927e+62	-1.0952051569988174e+60	-1.1081340794012077e+60

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	16
1	46	16

end0.0ms

sample817.0ms

Algorithm

intervals

Results

461.0ms

10941×

body

valid