Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

350×

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: 3.3b

localize16.0ms

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)
0.2b	(* (* a 27.0) b)
7.4b	(* (* (* 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)

series208.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
22.0ms	(* (* y 9.0) z)
19.0ms	(* (* a 27.0) b)
25.0ms	(* (* (* y 9.0) z) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

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

prune216.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

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	(* y (* 9.0 z))
0.2b	(* (* a 27.0) b)
7.4b	(* (* 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×	`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)) (* (* a 27.0) b))
5.0ms	(* y (* 9.0 z))
5.0ms	(* (* a 27.0) b)
9.0ms	(* (* y (* 9.0 z)) t)

series212.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(+ (- (* x 2.0) (* (* y (* 9.0 z)) t)) (* (* a 27.0) b))
17.0ms	(* y (* 9.0 z))
20.0ms	(* (* a 27.0) b)
25.0ms	(* (* y (* 9.0 z)) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	367	455
1	1849	383
2	5001	383

prune224.0ms

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	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* a (* 27.0 b)))
0.2b	(* (* y 9.0) z)
0.5b	(* a (* 27.0 b))
7.4b	(* (* (* 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×	`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)) (* a (* 27.0 b)))
7.0ms	(* (* y 9.0) z)
4.0ms	(* a (* 27.0 b))
6.0ms	(* (* (* y 9.0) z) t)

series202.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (- (* 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)

simplify53.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	363	454
1	1770	382
2	5002	382

prune203.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
7.4b	(* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 z))) t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

33×	`pow1` `add-exp-log`
23×	`add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(cbrt y)
14.0ms	(* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 z))) t)

series576.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
178.0ms	(cbrt y)
179.0ms	(cbrt y)
47.0ms	(* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 9.0 z))) t)

simplify58.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	304	495
1	1559	359
2	5001	301

prune224.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes750.0ms

Accuracy

52.2% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.1b

bsearch144.0ms

Steps

Iters	Range		Point
9	6.049665361183494	5024068.456853937	250461.65572895337
8	-3.9026624412251684e+207	-1.955307534377022e+204	-1.982154301493357e+204

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	17
1	50	17

end0.0ms

sample895.0ms

Algorithm

intervals

Results

505.0ms

10941×

body

valid