Details

sample51.0ms

Algorithm

intervals

Results

23.0ms

336×

body

valid

simplify119.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	110
9	110
8	108
7	102
6	87
5	73
4	58
3	39
2	25
1	15
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
0.0b	(/ t (- 1.0 z))
4.0b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-l` `associate-r/` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

43.0ms	(- (/ y z) (/ t (- 1.0 z)))
11.0ms	(/ t (- 1.0 z))
213.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series635.0ms

Counts

3 → 9

Calls

3 calls:

485.0ms	(- (/ y z) (/ t (- 1.0 z)))
47.0ms	(/ t (- 1.0 z))
104.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify628.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1402
1	420
0	170

prune626.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* y x) z) (/ (- (* t x)) (- 1.0 z)))
2.2b	(/ (- (* t x)) (- 1.0 z))
4.2b	(/ (* y x) z)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
33×	`times-frac`
32×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/r*`
7×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
6×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
5×	`add-log-exp`
3×	`pow1` `cbrt-undiv` `div-exp` `distribute-frac-neg`
2×	`neg-sub0` `clear-num` `frac-2neg` `div-sub` `associate-/r/` `div-inv`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip3--` `unsub-neg` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out`

Counts

3 → 94

Calls

3 calls:

71.0ms	(+ (/ (* y x) z) (/ (- (* t x)) (- 1.0 z)))
25.0ms	(/ (- (* t x)) (- 1.0 z))
16.0ms	(/ (* y x) z)

series220.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (/ (* y x) z) (/ (- (* t x)) (- 1.0 z)))
92.0ms	(/ (- (* t x)) (- 1.0 z))
36.0ms	(/ (* y x) z)

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	2598
1	496
0	195

prune745.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(+ (/ (* y x) z) (* -1 (/ x (/ (- 1.0 z) t))))
2.3b	(/ x (/ (- 1.0 z) t))
4.2b	(/ (* y x) z)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

135×	`times-frac`
104×	`add-sqr-sqrt` `*-un-lft-identity`
72×	`add-cube-cbrt`
25×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
9×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`pow1`
3×	`clear-num` `frac-2neg`
2×	`mul-1-neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `div-sub` `unsub-neg` `frac-add` `prod-exp` `associate-*r/` `associate-/r/` `cbrt-unprod` `flip-+` `flip--`

Counts

4 → 167

Calls

4 calls:

12.0ms	(/ (- 1.0 z) t)
12.0ms	(+ (/ (* y x) z) (* -1 (/ x (/ (- 1.0 z) t))))
13.0ms	(/ x (/ (- 1.0 z) t))
8.0ms	(/ (* y x) z)

series268.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (- 1.0 z) t)
103.0ms	(+ (/ (* y x) z) (* -1 (/ x (/ (- 1.0 z) t))))
59.0ms	(/ x (/ (- 1.0 z) t))
38.0ms	(/ (* y x) z)

simplify1.6s

Counts

179 → 179

Iterations

Iter	Nodes
done	5002
2	4242
1	819
0	295

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(+ (* (* y x) (/ 1 z)) (* -1 (/ x (/ (- 1.0 z) t))))
2.3b	(/ x (/ (- 1.0 z) t))
4.3b	(* (* y x) (/ 1 z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
109×	`add-sqr-sqrt` `*-un-lft-identity`
77×	`add-cube-cbrt`
33×	`add-exp-log`
23×	`add-cbrt-cube`
22×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-r`
12×	`prod-exp`
9×	`pow1`
8×	`div-exp` `associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `cbrt-unprod` `add-log-exp`
4×	`associate-*r/`
3×	`pow-prod-down`
2×	`rec-exp` `clear-num` `frac-2neg` `mul-1-neg` `1-exp` `frac-add` `un-div-inv` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `div-sub` `associate-l` `unsub-neg` `associate-/r/` `*-commutative` `flip-+` `flip--`

Counts

4 → 185

Calls

4 calls:

14.0ms	(/ (- 1.0 z) t)
19.0ms	(+ (* (* y x) (/ 1 z)) (* -1 (/ x (/ (- 1.0 z) t))))
24.0ms	(/ x (/ (- 1.0 z) t))
23.0ms	(* (* y x) (/ 1 z))

series279.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (- 1.0 z) t)
119.0ms	(+ (* (* y x) (/ 1 z)) (* -1 (/ x (/ (- 1.0 z) t))))
78.0ms	(/ x (/ (- 1.0 z) t))
26.0ms	(* (* y x) (/ 1 z))

simplify610.0ms

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
1	953
0	330

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes390.0ms

Accuracy

9.3% (5.0b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 5.6b

bsearch195.0ms

Steps

Iters	Range		Point
9	1.1605637005194695e-122	3.6309114916949304e-116	3.577593254447571e-116
9	-8.712109711727905e-296	-1.2718657892708523e-300	-2.692629455353722e-296

simplify7.0ms

Iterations

Iter	Nodes
done	49
2	49
1	46
0	28

end0.0ms

sample1.1s

Algorithm

intervals

Results

682.0ms

10073×

body

valid