Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

320×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	62	7
4	161	7
5	283	7
6	397	7
7	559	7
8	736	7
9	1179	7
10	1379	7
11	1406	7
done	1406	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

48.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify1.1s

Counts

56 → 56

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	134	1028
1	374	845
2	1178	725
done	5000	700

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

20.0ms	(+ (* 1.0 (+ x y)) (* (+ x y) (- z)))
46.0ms	(* (+ x y) (- z))

series115.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (* 1.0 (+ x y)) (* (+ x y) (- z)))
41.0ms	(* (+ x y) (- z))

simplify1.3s

Counts

59 → 59

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	116	791
1	361	709
2	1574	615
done	5000	613

prune170.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 (+ x y)) (* (* (+ x y) (sqrt z)) (- (sqrt z))))
0.1b	(* (+ x y) (sqrt z))
0.2b	(* (* (+ x y) (sqrt z)) (- (sqrt z)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-r`
15×	`add-sqr-sqrt`
14×	`associate-*l/`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`associate-l` `add-log-exp`
4×	`associate-*r/` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `distribute-rgt-neg-out` `log1p-expm1-u`
2×	`associate-+l+` `*-commutative` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `neg-mul-1` `fma-def` `distribute-lft-in` `unsub-neg` `sum-log` `distribute-lft-out`

Counts

3 → 85

Calls

3 calls:

37.0ms	(+ (* 1.0 (+ x y)) (* (* (+ x y) (sqrt z)) (- (sqrt z))))
31.0ms	(* (+ x y) (sqrt z))
53.0ms	(* (* (+ x y) (sqrt z)) (- (sqrt z)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (* 1.0 (+ x y)) (* (* (+ x y) (sqrt z)) (- (sqrt z))))
66.0ms	(* (+ x y) (sqrt z))
41.0ms	(* (* (+ x y) (sqrt z)) (- (sqrt z)))

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	162	1388
1	490	1067
2	2038	935
done	5000	927

prune270.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (* (+ x y) (- z)) 3)
3.8b	(fma (* 1.0 1.0) (* (+ x y) (+ x y)) (* (* (- (+ x y)) z) (* (+ x y) (- (- z) 1.0))))
5.5b	(+ (pow (* 1.0 (+ x y)) 3) (pow (* (+ x y) (- z)) 3))
42.2b	(/ (+ (pow (* 1.0 (+ x y)) 3) (pow (* (+ x y) (- z)) 3)) (fma (* 1.0 1.0) (* (+ x y) (+ x y)) (* (* (- (+ x y)) z) (* (+ x y) (- (- z) 1.0)))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
18×	`cube-div`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
11×	`flip3-+` `flip-+`
10×	`associate-*l/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`fma-def` `associate-*r/` `frac-add`
7×	`pow1`
6×	`associate-/l/` `add-log-exp`
5×	`cube-neg` `sum-cubes` `distribute-rgt-neg-out` `distribute-lft-out` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r*`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `div-sub` `cube-prod` `unsub-neg` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 111

Calls

4 calls:

15.0ms	(pow (* (+ x y) (- z)) 3)
1.0ms	(fma (* 1.0 1.0) (* (+ x y) (+ x y)) (* (* (- (+ x y)) z) (* (+ x y) (- (- z) 1.0))))
26.0ms	(+ (pow (* 1.0 (+ x y)) 3) (pow (* (+ x y) (- z)) 3))
84.0ms	(/ (+ (pow (* 1.0 (+ x y)) 3) (pow (* (+ x y) (- z)) 3)) (fma (* 1.0 1.0) (* (+ x y) (+ x y)) (* (* (- (+ x y)) z) (* (+ x y) (- (- z) 1.0)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

61.0ms	(pow (* (+ x y) (- z)) 3)
101.0ms	(fma (* 1.0 1.0) (* (+ x y) (+ x y)) (* (* (- (+ x y)) z) (* (+ x y) (- (- z) 1.0))))
257.0ms	(+ (pow (* 1.0 (+ x y)) 3) (pow (* (+ x y) (- z)) 3))
1.2s	(/ (+ (pow (* 1.0 (+ x y)) 3) (pow (* (+ x y) (- z)) 3)) (fma (* 1.0 1.0) (* (+ x y) (+ x y)) (* (* (- (+ x y)) z) (* (+ x y) (- (- z) 1.0)))))

simplify1.7s

Counts

123 → 123

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	220	4522
1	608	4280
2	2759	3942
done	5000	3857

prune605.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	15	12
2	19	12
3	24	12
done	24	12

end0.0ms

sample759.0ms

Algorithm

intervals

Results

303.0ms	10093×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid