Details

sample40.0ms

Algorithm

intervals

Results

22.0ms

315×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	3148
11	1557
10	566
9	266
8	150
7	91
6	69
5	59
4	47
3	31
2	17
1	10
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `distribute-lft-out`
2×	`associate-*l/` `insert-posit16` `distribute-lft-out--`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `difference-of-squares` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

36.0ms	(* (- y x) z)
65.0ms	(+ x (* (- y x) z))

series92.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* (- y x) z)
44.0ms	(+ x (* (- y x) z))

simplify2.1s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
3	2416
2	487
1	169
0	70

prune225.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (- y x) z))
0.3b	(* (* (- y x) z) (* (- y x) z))
4.2b	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
25.6b	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

1854×	`add-sqr-sqrt`
1184×	`*-un-lft-identity`
669×	`unswap-sqr`
588×	`difference-of-squares`
526×	`distribute-lft-out--`
520×	`times-frac`
436×	`associate-l`
390×	`swap-sqr`
145×	`*-commutative`
91×	`add-cube-cbrt`
65×	`associate-/l*`
43×	`pow1`
26×	`associate-r`
18×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
14×	`associate-*l/`
10×	`flip3--` `flip--`
8×	`associate-/r*` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`frac-times` `pow-sqr` `pow-prod-up` `insert-posit16`
2×	`sub-neg` `pow-plus` `diff-log` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

4 → 796

Calls

4 calls:

55.0ms	(- x (* (- y x) z))
203.0ms	(* (* (- y x) z) (* (- y x) z))
413.0ms	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
1.4s	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- x (* (- y x) z))
47.0ms	(* (* (- y x) z) (* (- y x) z))
77.0ms	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
325.0ms	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

simplify3.4s

Counts

808 → 808

Iterations

Iter	Nodes
done	5002
2	4547
1	1354
0	473

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `distribute-lft-out--` `add-log-exp`
5×	`associate-l`
4×	`distribute-lft-out`
2×	`diff-log` `associate--l+` `difference-of-squares`
1×	`pow1` `+-commutative` `sum-log` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

165.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify1.9s

Counts

27 → 27

Iterations

Iter	Nodes
done	5023
3	1420
2	352
1	112
0	45

prune108.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x x) (* y x))
2.7b	(- (* (* y y) y) (* (* x x) x))
7.2b	(* (- (* (* y y) y) (* (* x x) x)) z)
31.8b	(/ (* (- (* (* y y) y) (* (* x x) x)) z) (+ (* y y) (+ (* x x) (* y x))))

rewrite3.9s

Algorithm

rewrite-expression-head

Rules

2255×	`add-sqr-sqrt`
2240×	`*-un-lft-identity`
1938×	`associate-l`
1167×	`unswap-sqr`
1140×	`distribute-lft-out`
806×	`times-frac`
576×	`difference-of-squares`
276×	`*-commutative`
224×	`swap-sqr`
160×	`distribute-lft-out--`
128×	`pow3`
113×	`add-cube-cbrt`
64×	`difference-cubes`
62×	`associate-/l*`
54×	`associate-r`
13×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-rgt-out` `add-log-exp`
6×	`pow1`
4×	`associate-*l/` `insert-posit16`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `div-inv`

Counts

4 → 1060

Calls

4 calls:

48.0ms	(+ (* x x) (* y x))
288.0ms	(- (* (* y y) y) (* (* x x) x))
909.0ms	(* (- (* (* y y) y) (* (* x x) x)) z)
2.4s	(/ (* (- (* (* y y) y) (* (* x x) x)) z) (+ (* y y) (+ (* x x) (* y x))))

series370.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* x x) (* y x))
78.0ms	(- (* (* y y) y) (* (* x x) x))
109.0ms	(* (- (* (* y y) y) (* (* x x) x)) z)
123.0ms	(/ (* (- (* (* y y) y) (* (* x x) x)) z) (+ (* y y) (+ (* x x) (* y x))))

simplify2.9s

Counts

1072 → 1072

Iterations

Iter	Nodes
done	5001
2	3464
1	1055
0	396

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample937.0ms

Algorithm

intervals

Results

581.0ms

10029×

body

valid