Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

334×

body

valid

simplify8.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (40.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	92	9
4	190	8
5	409	8
6	586	8
7	695	8
8	901	8
9	1051	8
10	1256	8
11	1500	8
12	2071	8
13	2349	8
14	2564	8
15	2572	8
done	2572	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
1.2b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-l`
6×	`pow1` `add-exp-log` `associate-r` `prod-diff` `add-cbrt-cube`
5×	`distribute-rgt-in` `distribute-lft-in`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

25.0ms	(* (- 1.0 y) z)
18.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- 1.0 y) z)
54.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.1s

Counts

62 → 62

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	114	726
1	245	706
2	727	616
3	2853	565
done	5001	523

prune127.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.9b	(* (* x z) (- y 1.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 82

Calls

2 calls:

13.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
30.0ms	(* (* x z) (- y 1.0))

series125.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
53.0ms	(* (* x z) (- y 1.0))

simplify1.1s

Counts

88 → 88

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	160	1547
1	426	1254
2	1323	1004
done	5001	919

prune167.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (fma y z 1.0)) (* (* x z) (- 1.0)))
1.3b	(* x (fma y z 1.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

12.0ms	(+ (* x (fma y z 1.0)) (* (* x z) (- 1.0)))
7.0ms	(* x (fma y z 1.0))

series116.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* x (fma y z 1.0)) (* (* x z) (- 1.0)))
51.0ms	(* x (fma y z 1.0))

simplify2.1s

Counts

46 → 46

Iterations

Useful iterations: 3 (758.0ms)

Iter	Nodes	Cost
0	73	554
1	190	504
2	676	428
3	3656	420
done	5000	420

prune123.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 1.0) (+ (* (* x z) (- (pow (cbrt y) 3) 1.0)) (* (+ (- 1.0) 1.0) (* x z))))
0.6b	(cbrt y)
0.8b	(pow (cbrt y) 3)
2.9b	(* (* x z) (- (pow (cbrt y) 3) 1.0))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

108×	`prod-diff`
88×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
77×	`add-cube-cbrt`
56×	`distribute-rgt-in` `distribute-lft-in`
47×	`cbrt-prod`
44×	`unpow-prod-down` `cube-prod`
10×	`pow1` `add-exp-log` `associate-r`
9×	`add-cbrt-cube` `add-log-exp`
8×	`sqr-pow`
7×	`cube-mult` `unpow3`
6×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
2×	`sub-neg` `pow-pow` `pow1/3` `associate-*r/`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3--` `fma-def` `flip3-+` `associate-l` `pow-exp` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 202

Calls

4 calls:

95.0ms	(+ (* x 1.0) (+ (* (* x z) (- (pow (cbrt y) 3) 1.0)) (* (+ (- 1.0) 1.0) (* x z))))
1.0ms	(cbrt y)
3.0ms	(pow (cbrt y) 3)
82.0ms	(* (* x z) (- (pow (cbrt y) 3) 1.0))

series626.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (* x 1.0) (+ (* (* x z) (- (pow (cbrt y) 3) 1.0)) (* (+ (- 1.0) 1.0) (* x z))))
196.0ms	(cbrt y)
249.0ms	(pow (cbrt y) 3)
82.0ms	(* (* x z) (- (pow (cbrt y) 3) 1.0))

simplify1.2s

Counts

214 → 214

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	285	5351
1	661	3192
2	1916	2304
done	5000	2049

prune265.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample737.0ms

Algorithm

intervals

Results

456.0ms

10122×

body

valid