Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

367×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	35	8
1	93	7
2	260	7
3	565	7
4	762	7
5	984	7
6	1021	7
7	1186	7
8	1552	7
9	2112	7
10	2112	7

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* (* (* y 9.0) z) t))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
0.5b	(* (* y 9.0) z)
6.3b	(* (* (* y 9.0) z) t)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

8.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
1.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
17.0ms	(* (* y 9.0) z)
56.0ms	(* (* (* y 9.0) z) t)

series269.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* x 2.0) (* (* (* y 9.0) z) t))
157.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* (* y 9.0) z) t)))
17.0ms	(* (* y 9.0) z)
24.0ms	(* (* (* y 9.0) z) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	306	456
1	1445	388
2	5001	388

prune329.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
5.6b	(* (* y 9.0) (* z t))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-r` `associate-l` `prod-diff` `*-commutative` `flip--` `fma-udef`

Counts

3 → 50

Calls

3 calls:

9.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
31.0ms	(* (* y 9.0) (* z t))

series258.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
158.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* (* y 9.0) (* z t))))
25.0ms	(* (* y 9.0) (* z t))

simplify58.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	273	387
1	1166	328
2	5002	327

prune250.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.1b	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
0.3b	(* 9.0 (* z t))
5.5b	(* y (* 9.0 (* z t)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `fma-udef`

Counts

4 → 69

Calls

4 calls:

11.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
0.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
20.0ms	(* 9.0 (* z t))
41.0ms	(* y (* 9.0 (* z t)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* x 2.0) (* y (* 9.0 (* z t))))
158.0ms	(fma a (* 27.0 b) (- (* x 2.0) (* y (* 9.0 (* z t)))))
17.0ms	(* 9.0 (* z t))
28.0ms	(* y (* 9.0 (* z t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	295	454
1	1235	386
2	5001	386

prune332.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* 27.0 (* a b))
6.4b	(* t (* z y))

rewrite103.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

4 → 79

Calls

4 calls:

22.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
40.0ms	(* 9.0 (* t (* z y)))
16.0ms	(* 27.0 (* a b))
21.0ms	(* t (* z y))

series153.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* 27.0 (* a b)) (* 9.0 (* t (* z y))))
33.0ms	(* 9.0 (* t (* z y)))
20.0ms	(* 27.0 (* a b))
26.0ms	(* t (* z y))

simplify62.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	315	429
1	1266	366
2	5002	366

prune547.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes360.0ms

Accuracy

69.5% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.7b

bsearch162.0ms

Steps

Iters	Range		Point
7	7.124622535394339e+130	4.767486647782271e+132	7.229865521391703e+130
8	-1.7856888788249234e+75	-6.277166014153575e+72	-1.3068342955713531e+73

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	21
1	45	21

end0.0ms

sample938.0ms

Algorithm

intervals

Results

507.0ms

11078×

body

valid