Details

sample107.0ms

Algorithm

intervals

Results

35.0ms

323×

body

valid

simplify11.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
7	1633
6	567
5	291
4	201
3	99
2	47
1	25
0	14

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

localize54.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- 1.0 t) z 1)
0.1b	(fma (/ 2.0 t) (/ (fma (- 1.0 t) z 1) z) (/ x y))
9.1b	(/ (fma (- 1.0 t) z 1) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

1.0ms	(fma (- 1.0 t) z 1)
1.0ms	(fma (/ 2.0 t) (/ (fma (- 1.0 t) z 1) z) (/ x y))
11.0ms	(/ (fma (- 1.0 t) z 1) z)

series326.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(fma (- 1.0 t) z 1)
185.0ms	(fma (/ 2.0 t) (/ (fma (- 1.0 t) z 1) z) (/ x y))
65.0ms	(/ (fma (- 1.0 t) z 1) z)

simplify7.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	1239
2	378
1	157
0	87

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 z) 1.0)
0.0b	(- (+ (/ 1 z) 1.0) t)
0.1b	(fma (/ 2.0 t) (- (+ (/ 1 z) 1.0) t) (/ x y))

rewrite519.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
15×	`prod-diff`
13×	`fma-def`
12×	`distribute-lft-out`
10×	`add-log-exp`
9×	`times-frac`
7×	`div-inv`
5×	`fma-neg`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `fma-udef` `difference-of-squares`

Counts

3 → 78

Calls

3 calls:

45.0ms	(+ (/ 1 z) 1.0)
469.0ms	(- (+ (/ 1 z) 1.0) t)
1.0ms	(fma (/ 2.0 t) (- (+ (/ 1 z) 1.0) t) (/ x y))

series184.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (/ 1 z) 1.0)
25.0ms	(- (+ (/ 1 z) 1.0) t)
129.0ms	(fma (/ 2.0 t) (- (+ (/ 1 z) 1.0) t) (/ x y))

simplify12.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
3	2768
2	711
1	245
0	102

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ 1 z) (/ 1 z)) (* 1.0 1.0))
0.1b	(fma (/ 2.0 t) (- (/ (- (* (/ 1 z) (/ 1 z)) (* 1.0 1.0)) (- (/ 1 z) 1.0)) t) (/ x y))
0.3b	(* (/ 1 z) (/ 1 z))
7.9b	(/ (- (* (/ 1 z) (/ 1 z)) (* 1.0 1.0)) (- (/ 1 z) 1.0))

rewrite602.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-sqr-sqrt`
90×	`times-frac`
74×	`*-un-lft-identity`
46×	`add-exp-log` `add-cube-cbrt`
25×	`difference-of-squares`
19×	`pow1`
18×	`add-cbrt-cube`
17×	`div-exp`
16×	`prod-exp`
15×	`swap-sqr`
13×	`associate-r` `associate-l`
12×	`div-inv`
10×	`distribute-lft-out--`
9×	`unswap-sqr`
8×	`rec-exp` `pow-flip` `1-exp` `associate-/r*` `inv-pow`
6×	`add-log-exp`
5×	`cbrt-undiv` `pow-prod-up`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `associate-/l*`
3×	`flip3--` `pow-prod-down` `pow-sqr` `flip--`
2×	`associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `sub-neg` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `div-sub` `associate-r/` `prod-diff` `associate-l/` `clear-num` `un-div-inv` `*-commutative` `fma-udef`

Counts

4 → 187

Calls

4 calls:

188.0ms	(- (* (/ 1 z) (/ 1 z)) (* 1.0 1.0))
1.0ms	(fma (/ 2.0 t) (- (/ (- (* (/ 1 z) (/ 1 z)) (* 1.0 1.0)) (- (/ 1 z) 1.0)) t) (/ x y))
113.0ms	(* (/ 1 z) (/ 1 z))
260.0ms	(/ (- (* (/ 1 z) (/ 1 z)) (* 1.0 1.0)) (- (/ 1 z) 1.0))

series1.6s

Counts

4 → 12

Calls

4 calls:

209.0ms	(- (* (/ 1 z) (/ 1 z)) (* 1.0 1.0))
677.0ms	(fma (/ 2.0 t) (- (/ (- (* (/ 1 z) (/ 1 z)) (* 1.0 1.0)) (- (/ 1 z) 1.0)) t) (/ x y))
48.0ms	(* (/ 1 z) (/ 1 z))
626.0ms	(/ (- (* (/ 1 z) (/ 1 z)) (* 1.0 1.0)) (- (/ 1 z) 1.0))

simplify5.8s

Counts

199 → 199

Iterations

Iter	Nodes
done	5000
2	1829
1	791
0	278

prune2.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 z))
0.6b	(cbrt (/ 1 z))
0.6b	(cbrt (/ 1 z))
7.9b	(/ (- (* (* (cbrt (/ 1 z)) (cbrt (/ 1 z))) (* (cbrt (/ 1 z)) (/ 1 z))) (* 1.0 1.0)) (- (/ 1 z) 1.0))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
59×	`times-frac`
54×	`*-un-lft-identity`
39×	`cbrt-prod`
38×	`add-cube-cbrt`
12×	`difference-of-squares`
8×	`associate-/r*` `div-inv` `distribute-lft-out--`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`

Counts

4 → 126

Calls

4 calls:

5.0ms	(cbrt (/ 1 z))
5.0ms	(cbrt (/ 1 z))
5.0ms	(cbrt (/ 1 z))
1.0s	(/ (- (* (* (cbrt (/ 1 z)) (cbrt (/ 1 z))) (* (cbrt (/ 1 z)) (/ 1 z))) (* 1.0 1.0)) (- (/ 1 z) 1.0))

series2.1s

Counts

4 → 12

Calls

4 calls:

736.0ms	(cbrt (/ 1 z))
384.0ms	(cbrt (/ 1 z))
604.0ms	(cbrt (/ 1 z))
334.0ms	(/ (- (* (* (cbrt (/ 1 z)) (cbrt (/ 1 z))) (* (cbrt (/ 1 z)) (/ 1 z))) (* 1.0 1.0)) (- (/ 1 z) 1.0))

simplify13.2s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
3	4877
2	1209
1	370
0	163

prune1.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample7.3s

Algorithm

intervals

Results

6.4s

10443×

body

valid