Details

sample58.0ms

Algorithm

intervals

Results

38.0ms

364×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

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	(* (* a 27.0) b)
0.2b	(* (* y 9.0) z)
6.1b	(* (* (* y 9.0) z) t)

rewrite51.0ms

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`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+l+` `fma-def` `associate-l` `*-commutative`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `flip-+`

Counts

4 → 84

Calls

4 calls:

13.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
7.0ms	(* (* a 27.0) b)
7.0ms	(* (* y 9.0) z)
22.0ms	(* (* (* y 9.0) z) t)

series243.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
20.0ms	(* (* y 9.0) z)
32.0ms	(* (* (* y 9.0) z) t)

simplify80.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	391	503
1	2058	422
2	5002	418

prune302.0ms

Pruning

8 alts after pruning (8 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))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.2b	(* (* a 27.0) b)
6.2b	(* (* y 9.0) (* z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

13.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
7.0ms	(* (* a 27.0) b)
10.0ms	(* (* y 9.0) (* z t))

series304.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
81.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
22.0ms	(* (* a 27.0) b)
33.0ms	(* (* y 9.0) (* z t))

simplify83.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	421	563
1	2047	495
2	5002	493

prune310.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (pow (* 27.0 (* a b)) 1))
0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.3b	(* 27.0 (* a b))
6.2b	(* (* y 9.0) (* z t))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`associate-+l+` `fma-def`
2×	`sub-neg` `diff-log` `associate-r` `prod-diff` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `fma-neg` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 82

Calls

4 calls:

15.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (pow (* 27.0 (* a b)) 1))
3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
6.0ms	(* 27.0 (* a b))
15.0ms	(* (* y 9.0) (* z t))

series311.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (pow (* 27.0 (* a b)) 1))
82.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
23.0ms	(* 27.0 (* a b))
30.0ms	(* (* y 9.0) (* z t))

simplify80.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	414	589
1	1843	514
2	5001	510

prune335.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.1b	(fma 27.0 (* a b) (- (* x 2.0) (* (* y 9.0) (* z t))))
6.2b	(* (* y 9.0) (* z t))

rewrite15.0ms

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:

3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
0.0ms	(fma 27.0 (* a b) (- (* x 2.0) (* (* y 9.0) (* z t))))
10.0ms	(* (* y 9.0) (* z t))

series301.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
182.0ms	(fma 27.0 (* a b) (- (* x 2.0) (* (* y 9.0) (* z t))))
35.0ms	(* (* y 9.0) (* z t))

simplify58.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	267	387
1	1161	328
2	5001	327

prune198.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes700.0ms

Accuracy

85.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.7b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	44
1	54	44

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

10998×

body

valid