Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

375×

body

valid

simplify74.0ms

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: 4.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.4b	(* (* y 9.0) z)
0.4b	(* (* a 27.0) b)
6.7b	(* (* (* y 9.0) z) t)

rewrite26.0ms

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)
8.0ms	(* (* a 27.0) b)
7.0ms	(* (* (* y 9.0) z) t)

series200.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
16.0ms	(* (* y 9.0) z)
19.0ms	(* (* a 27.0) b)
24.0ms	(* (* (* y 9.0) z) t)

simplify57.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

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

prune204.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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))

rewrite20.0ms

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))

series200.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
24.0ms	(* (* a 27.0) b)
25.0ms	(* (* y 9.0) (* z t))

simplify51.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 1 (10.0ms)

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

prune157.0ms

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)))

rewrite24.0ms

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:

6.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* (* a 27.0) b))
5.0ms	(* 9.0 (* z t))
5.0ms	(* (* a 27.0) 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)))) (* (* a 27.0) b))
16.0ms	(* 9.0 (* z t))
22.0ms	(* (* a 27.0) b)
24.0ms	(* y (* 9.0 (* z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

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

prune212.0ms

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

rewrite24.0ms

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

series217.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(+ (- (* x 2.0) (* y (* 9.0 (* z t)))) (* 27.0 (* a b)))
27.0ms	(* 9.0 (* z t))
19.0ms	(* 27.0 (* a b))
26.0ms	(* 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

prune188.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes776.0ms

Accuracy

78.9% (0.7b remaining)

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

bsearch115.0ms

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

sample851.0ms

Algorithm

intervals

Results

480.0ms

10941×

body

valid