Details

sample37.0ms

Algorithm

intervals

Results

12.0ms

326×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4087
8	1602
7	1239
6	903
5	414
4	161
3	62
2	26
1	11
0	7

prune9.0ms

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-l`
4×	`frac-times` `associate-r`
3×	`pow1` `flip3-+` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `flip--`
2×	`associate-l/` `associate-r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `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 → 33

Calls

1 calls:

38.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify632.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1330
1	287
0	85

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* z z) (* 1.0 z))
0.3b	(* (- (pow 1.0 3) (pow z 3)) (+ x y))
14.4b	(/ (* (- (pow 1.0 3) (pow z 3)) (+ x y)) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`associate-l`
19×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `flip3-+` `flip-+` `sqr-pow` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3--` `flip--`
5×	`pow1` `distribute-lft-out--` `add-log-exp`
4×	`associate-r` `associate-l/` `associate-r/`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`distribute-rgt-in` `difference-cubes` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `distribute-lft-in` `distribute-rgt-out` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

7.0ms	(+ (* z z) (* 1.0 z))
102.0ms	(* (- (pow 1.0 3) (pow z 3)) (+ x y))
66.0ms	(/ (* (- (pow 1.0 3) (pow z 3)) (+ x y)) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

series253.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (* z z) (* 1.0 z))
72.0ms	(* (- (pow 1.0 3) (pow z 3)) (+ x y))
102.0ms	(/ (* (- (pow 1.0 3) (pow z 3)) (+ x y)) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

simplify1.8s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	4126
1	708
0	197

prune747.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ (- (pow 1.0 3) (pow z 3)) (sqrt (fma 1.0 1.0 (* (+ z 1.0) z))))
7.3b	(sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))
7.3b	(sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))
7.7b	(* (/ (- (pow 1.0 3) (pow z 3)) (sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))) (/ (+ y x) (sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))))

rewrite414.0ms

Algorithm

rewrite-expression-head

Rules

481×	`add-sqr-sqrt`
336×	`times-frac`
279×	`*-un-lft-identity`
208×	`difference-of-squares`
177×	`sqrt-prod`
156×	`unpow-prod-down` `cube-prod`
154×	`associate-l`
137×	`add-cube-cbrt`
104×	`sqr-pow`
65×	`distribute-lft-out--`
28×	`associate-r`
25×	`associate-/l*`
18×	`add-cbrt-cube` `add-exp-log`
13×	`difference-cubes`
9×	`unswap-sqr`
8×	`pow1`
6×	`associate-/r*` `distribute-lft-out`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

4 → 441

Calls

4 calls:

106.0ms	(/ (- (pow 1.0 3) (pow z 3)) (sqrt (fma 1.0 1.0 (* (+ z 1.0) z))))
1.0ms	(sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))
1.0ms	(sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))
240.0ms	(* (/ (- (pow 1.0 3) (pow z 3)) (sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))) (/ (+ y x) (sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))))

series464.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(/ (- (pow 1.0 3) (pow z 3)) (sqrt (fma 1.0 1.0 (* (+ z 1.0) z))))
96.0ms	(sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))
82.0ms	(sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))
130.0ms	(* (/ (- (pow 1.0 3) (pow z 3)) (sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))) (/ (+ y x) (sqrt (fma 1.0 1.0 (* (+ z 1.0) z)))))

simplify630.0ms

Counts

453 → 453

Iterations

Iter	Nodes
done	5000
1	1141
0	389

prune2.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes326.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample963.0ms

Algorithm

intervals

Results

408.0ms	10088×	body	80	valid
0.0ms	2×	body	1280	valid