Details

sample40.0ms

Algorithm

intervals

Results

17.0ms

331×

body

valid

simplify11.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
11	1729
10	711
9	482
8	362
7	333
6	305
5	236
4	155
3	73
2	31
1	15
0	8

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

16.0ms	(+ x (* (* (- y x) 6.0) z))
110.0ms	(* (- y x) 6.0)
83.0ms	(* (* (- y x) 6.0) z)

series402.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ x (* (* (- y x) 6.0) z))
123.0ms	(* (- y x) 6.0)
195.0ms	(* (* (- y x) 6.0) z)

simplify7.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	3896
2	873
1	267
0	104

prune528.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.2b	(* (- y x) (* 6.0 z))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-l`
4×	`add-cube-cbrt` `add-log-exp`
3×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

18.0ms	(+ x (* (- y x) (* 6.0 z)))
73.0ms	(* (- y x) (* 6.0 z))

series169.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(+ x (* (- y x) (* 6.0 z)))
73.0ms	(* (- y x) (* 6.0 z))

simplify9.2s

Counts

46 → 46

Iterations

Iter	Nodes
done	5004
3	3151
2	705
1	216
0	79

prune552.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 6.0 (* z (- y x))))
0.0b	(* z (- y x))
0.3b	(* 6.0 (* z (- y x)))

rewrite340.0ms

Algorithm

rewrite-expression-head

Rules

99×	`distribute-rgt-in` `distribute-lft-in`
90×	`prod-diff`
71×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
67×	`add-cube-cbrt`
44×	`associate-+r+`
10×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
6×	`associate-r/` `associate-r` `associate-l*`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 172

Calls

3 calls:

38.0ms	(+ x (* 6.0 (* z (- y x))))
48.0ms	(* z (- y x))
77.0ms	(* 6.0 (* z (- y x)))

series270.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ x (* 6.0 (* z (- y x))))
76.0ms	(* z (- y x))
106.0ms	(* 6.0 (* z (- y x)))

simplify3.7s

Counts

181 → 181

Iterations

Iter	Nodes
done	5006
2	1440
1	611
0	246

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma 6.0 (* y z) x) (* 6.0 (* z (- x))))
0.1b	(fma 6.0 (* y z) x)
0.3b	(* 6.0 (* z (- x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

17.0ms	(+ (fma 6.0 (* y z) x) (* 6.0 (* z (- x))))
1.0ms	(fma 6.0 (* y z) x)
48.0ms	(* 6.0 (* z (- x)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ (fma 6.0 (* y z) x) (* 6.0 (* z (- x))))
68.0ms	(fma 6.0 (* y z) x)
94.0ms	(* 6.0 (* z (- x)))

simplify6.9s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
3	4502
2	812
1	204
0	82

prune475.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes352.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.7s

Algorithm

intervals

Results

665.0ms

10106×

body

valid