Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

314×

body

valid

simplify14.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (23.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	85	9
4	198	8
5	330	8
6	506	8
7	600	8
8	817	8
9	918	8
10	1073	8
11	1400	8
12	2283	8
13	2619	8
14	2843	8
15	2851	8
done	2851	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.8b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite20.0ms

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:

10.0ms	(* (- 1.0 y) z)
9.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (- 1.0 y) z)
58.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.6s

Counts

62 → 62

Iterations

Useful iterations: 3 (552.0ms)

Iter	Nodes	Cost
0	114	726
1	245	706
2	731	616
3	2822	565
done	5000	565

prune141.0ms

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	(+ (* 1.0 x) (* z (* x (- y 1.0))))
2.0b	(* z (* x (- y 1.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

88×	`distribute-rgt-in` `distribute-lft-in`
72×	`prod-diff`
51×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`associate-+r+`
8×	`sub-neg`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-*r/` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip--` `flip-+`

Counts

2 → 124

Calls

2 calls:

12.0ms	(+ (* 1.0 x) (* z (* x (- y 1.0))))
21.0ms	(* z (* x (- y 1.0)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (* 1.0 x) (* z (* x (- y 1.0))))
51.0ms	(* z (* x (- y 1.0)))

simplify1.1s

Counts

130 → 130

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	234	2526
1	505	1993
2	1294	1583
done	5000	1437

prune238.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (* z x) (- y 1.0)))
2.1b	(* (* z x) (- y 1.0))

rewrite24.0ms

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:

6.0ms	(+ (* 1.0 x) (* (* z x) (- y 1.0)))
14.0ms	(* (* z x) (- y 1.0))

series125.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (* 1.0 x) (* (* z x) (- y 1.0)))
57.0ms	(* (* z x) (- y 1.0))

simplify895.0ms

Counts

88 → 88

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	160	1547
1	420	1254
2	1442	1010
done	5000	986

prune182.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 y) z)
0.1b	(* (* x (fma z (- 1.0 y) 1.0)) (fma (- y 1.0) z 1.0))
3.8b	(* x (fma z (- 1.0 y) 1.0))
10.8b	(/ (* (* x (fma z (- 1.0 y) 1.0)) (fma (- y 1.0) z 1.0)) (+ 1.0 (* (- 1.0 y) z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`associate-r` `associate-l`
8×	`prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r` `-commutative`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `associate-/r/` `unswap-sqr`
1×	`flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

13.0ms	(* (- 1.0 y) z)
7.0ms	(* (* x (fma z (- 1.0 y) 1.0)) (fma (- y 1.0) z 1.0))
3.0ms	(* x (fma z (- 1.0 y) 1.0))
10.0ms	(/ (* (* x (fma z (- 1.0 y) 1.0)) (fma (- y 1.0) z 1.0)) (+ 1.0 (* (- 1.0 y) z)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (- 1.0 y) z)
99.0ms	(* (* x (fma z (- 1.0 y) 1.0)) (fma (- y 1.0) z 1.0))
48.0ms	(* x (fma z (- 1.0 y) 1.0))
131.0ms	(/ (* (* x (fma z (- 1.0 y) 1.0)) (fma (- y 1.0) z 1.0)) (+ 1.0 (* (- 1.0 y) z)))

simplify747.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (223.0ms)

Iter	Nodes	Cost
0	182	1933
1	464	1852
2	2030	1506
done	5001	1506

prune307.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes175.0ms

Accuracy

88.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	47
1	28	37
done	28	37

end0.0ms

sample425.0ms

Algorithm

intervals

Results

233.0ms

9988×

body

valid