Details

sample32.0ms

Algorithm

intervals

Results

17.0ms

324×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
22	4863
21	4591
20	4378
19	4109
18	3894
17	3623
16	3410
15	3141
14	2926
13	2655
12	2429
11	1597
10	681
9	292
8	167
7	124
6	98
5	78
4	61
3	40
2	24
1	14
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

0.0ms	(fma x y (* (- 1.0 y) z))
15.0ms	(* (- 1.0 y) z)

series100.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma x y (* (- 1.0 y) z))
58.0ms	(* (- 1.0 y) z)

simplify1.5s

Counts

42 → 42

Iterations

Iter	Nodes
done	5008
3	1521
2	367
1	137
0	66

prune203.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y y) (* 1.0 y))
0.1b	(* (* y y) y)
2.4b	(* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) z)
11.9b	(/ (* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) z) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `associate-r` `pow-prod-up` `add-log-exp`
5×	`associate-l` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `times-frac` `pow3`
2×	`pow2` `cbrt-undiv` `flip3-+` `flip3--` `div-exp` `associate-/r/` `pow-sqr` `*-commutative` `flip-+` `flip--` `unswap-sqr` `associate-/l/`
1×	`difference-cubes` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `distribute-rgt-out` `div-inv` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

8.0ms	(+ (* y y) (* 1.0 y))
15.0ms	(* (* y y) y)
99.0ms	(* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) z)
88.0ms	(/ (* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) z) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series344.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(+ (* y y) (* 1.0 y))
54.0ms	(* (* y y) y)
73.0ms	(* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) z)
121.0ms	(/ (* (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) z) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify1.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1817
1	491
0	164

prune505.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

2.6b	(/ (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))
7.8b	(sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
7.8b	(sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
8.5b	(* (/ (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))) (/ z (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
78×	`times-frac`
51×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
30×	`associate-l`
26×	`pow3`
24×	`associate-r`
18×	`add-cbrt-cube` `add-exp-log`
13×	`difference-cubes`
10×	`sqrt-div`
9×	`unswap-sqr`
8×	`pow1`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

4 → 178

Calls

4 calls:

80.0ms	(/ (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))
23.0ms	(sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
36.0ms	(sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
199.0ms	(* (/ (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))) (/ z (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))

series351.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(/ (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y)))))
69.0ms	(sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
53.0ms	(sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))
93.0ms	(* (/ (- (* (* 1.0 1.0) 1.0) (* (* y y) y)) (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))) (/ z (sqrt (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))))

simplify1.8s

Counts

190 → 190

Iterations

Iter	Nodes
done	5001
2	2643
1	769
0	248

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes122.0ms

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	8
1	8
0	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

787.0ms

10105×

body

valid