Details

sample196.0ms

Algorithm

intervals

Results

79.0ms	237×	body	80	nan
68.0ms	256×	body	80	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
4	1440
3	365
2	102
1	50
0	28

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
0.3b	(/ (/ 2.0 t) 3.0)
2.9b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
6.7b	(/ (sqrt (+ a t)) (/ t z))

rewrite710.0ms

Algorithm

rewrite-expression-head

Rules

548×	`times-frac`
477×	`add-sqr-sqrt`
414×	`*-un-lft-identity`
355×	`add-cube-cbrt`
220×	`prod-diff`
131×	`associate--r+`
56×	`sqrt-prod`
41×	`difference-of-squares`
34×	`div-inv`
32×	`associate-/l*`
28×	`associate-/r*`
18×	`frac-sub`
16×	`distribute-lft-out--`
14×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
13×	`fma-neg`
11×	`associate-/l/`
10×	`flip3--` `flip--`
9×	`associate-/r/` `add-log-exp`
6×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`diff-log`
2×	`sub-neg` `sqrt-div`
1×	`flip3-+` `flip-+` `fma-udef` `associate--r-`

Counts

4 → 505

Calls

4 calls:

574.0ms	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
30.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
43.0ms	(/ (sqrt (+ a t)) (/ t z))

series341.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
31.0ms	(/ (/ 2.0 t) 3.0)
208.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
76.0ms	(/ (sqrt (+ a t)) (/ t z))

simplify2.5s

Counts

517 → 517

Iterations

Iter	Nodes
done	5000
1	2552
0	950

prune5.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.9b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (* (/ (cbrt (sqrt (+ a t))) (/ (cbrt t) (cbrt z))) (/ (cbrt (sqrt (+ a t))) (/ (cbrt t) (cbrt z)))) (/ (cbrt (sqrt (+ a t))) (/ (cbrt t) (cbrt z)))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (* (/ (cbrt (sqrt (+ a t))) (/ (cbrt t) (cbrt z))) (/ (cbrt (sqrt (+ a t))) (/ (cbrt t) (cbrt z)))) (/ (cbrt (sqrt (+ a t))) (/ (cbrt t) (cbrt z)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt t)
284.0ms	(cbrt t)
327.0ms	(cbrt t)
252.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (* (/ (cbrt (sqrt (+ a t))) (/ (cbrt t) (cbrt z))) (/ (cbrt (sqrt (+ a t))) (/ (cbrt t) (cbrt z)))) (/ (cbrt (sqrt (+ a t))) (/ (cbrt t) (cbrt z)))))

simplify2.1s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	1096
2	333
1	143
0	75

prune907.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ a t)) t)
0.3b	(/ 2.0 (* 3.0 t))
2.3b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* 3.0 t)))))
2.5b	(log (exp (fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* 3.0 t)))))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

57×	`times-frac`
55×	`add-sqr-sqrt` `*-un-lft-identity`
47×	`add-cube-cbrt`
16×	`sqrt-prod`
15×	`associate-/r*`
12×	`associate-r` `associate-l` `add-exp-log`
11×	`add-cbrt-cube`
10×	`associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `log-prod` `log-pow` `*-commutative` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `exp-prod` `div-exp`
2×	`clear-num` `frac-2neg` `sqrt-div` `rem-log-exp` `fma-udef` `div-inv` `associate-/l/`
1×	`flip3-+` `exp-sum` `prod-exp` `cbrt-unprod` `flip-+`

Counts

4 → 147

Calls

4 calls:

28.0ms	(/ (sqrt (+ a t)) t)
43.0ms	(/ 2.0 (* 3.0 t))
1.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* 3.0 t)))))
4.0ms	(log (exp (fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* 3.0 t)))))))

series736.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (sqrt (+ a t)) t)
18.0ms	(/ 2.0 (* 3.0 t))
317.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* 3.0 t)))))
305.0ms	(log (exp (fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* 3.0 t)))))))

simplify1.7s

Counts

159 → 159

Iterations

Iter	Nodes
done	5010
2	1677
1	603
0	282

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2.0 t) 3.0)
2.9b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (posit16->real (real->posit16 (/ (sqrt (+ a t)) (/ t z)))))
6.7b	(/ (sqrt (+ a t)) (/ t z))
53.6b	(posit16->real (real->posit16 (/ (sqrt (+ a t)) (/ t z))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

238×	`times-frac`
162×	`*-un-lft-identity`
134×	`add-sqr-sqrt` `add-cube-cbrt`
56×	`sqrt-prod`
26×	`associate-/l*`
22×	`associate-/r*`
14×	`add-cbrt-cube` `add-exp-log` `div-inv` `distribute-lft-out`
11×	`associate-/l/`
9×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-div`
1×	`flip3-+` `flip-+` `fma-udef` `remove-posit16`

Counts

4 → 242

Calls

4 calls:

11.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (posit16->real (real->posit16 (/ (sqrt (+ a t)) (/ t z)))))
21.0ms	(/ (sqrt (+ a t)) (/ t z))
1.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) (/ t z))))

series437.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (/ 2.0 t) 3.0)
225.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (posit16->real (real->posit16 (/ (sqrt (+ a t)) (/ t z)))))
97.0ms	(/ (sqrt (+ a t)) (/ t z))
84.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) (/ t z))))

simplify1.9s

Counts

254 → 254

Iterations

Iter	Nodes
done	5002
2	2889
1	1090
0	448

prune3.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes677.0ms

Accuracy

-14.2% (2.3b remaining)

Error of 2.5b against oracle of 0.2b and baseline of 2.2b

bsearch817.0ms

Steps

Iters	Range		Point
10	7.203812753580602e-282	9.380270591597068e-268	5.358377107920803e-277
10	-6.392896559112743e-238	-1.0097446013295498e-255	-5.0089747297515344e-254

simplify26.0ms

Iterations

Iter	Nodes
done	56
1	56
0	47

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.0s	7910×	body	80	nan
2.4s	8000×	body	80	valid