Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

364×

body

valid

simplify117.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.9b

localize18.0ms

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)

rewrite52.0ms

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)
23.0ms	(* (* (* y 9.0) z) t)

series239.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
22.0ms	(* (* a 27.0) b)
24.0ms	(* (* y 9.0) z)
28.0ms	(* (* (* y 9.0) z) t)

simplify77.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (69.0ms)

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

prune291.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite37.0ms

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)
11.0ms	(* (* y 9.0) (* z t))

series293.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* (* a 27.0) b))
80.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
22.0ms	(* (* a 27.0) b)
29.0ms	(* (* y 9.0) (* z t))

simplify84.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

Counts

4 → 81

Calls

4 calls:

13.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
3.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
6.0ms	(* 27.0 (* a b))
11.0ms	(* (* y 9.0) (* z t))

series291.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(+ (- (* x 2.0) (* (* y 9.0) (* z t))) (* 27.0 (* a b)))
79.0ms	(- (* x 2.0) (* (* y 9.0) (* z t)))
22.0ms	(* 27.0 (* a b))
33.0ms	(* (* y 9.0) (* z t))

simplify82.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	407	562
1	1746	494
2	5002	492

prune291.0ms

Pruning

8 alts after pruning (7 fresh and 1 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))
0.2b	(* y (* 9.0 z))
0.2b	(* (* a 27.0) b)
6.1b	(* (* y (* 9.0 z)) t)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

3.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
6.0ms	(* y (* 9.0 z))
7.0ms	(* (* a 27.0) b)
23.0ms	(* (* y (* 9.0 z)) t)

series150.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* x 2.0) (* (* y (* 9.0 z)) t))
20.0ms	(* y (* 9.0 z))
22.0ms	(* (* a 27.0) b)
29.0ms	(* (* y (* 9.0 z)) t)

simplify75.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	368	417
1	1800	351
2	5001	351

prune262.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes791.0ms

Accuracy

84.7% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	20
1	48	20

end0.0ms

sample856.0ms

Algorithm

intervals

Results

472.0ms

10998×

body

valid