Details

sample224.0ms

Algorithm

intervals

Results

103.0ms	256×	body	80	valid
64.0ms	243×	body	80	nan

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
5	5939
4	1474
3	365
2	102
1	50
0	28

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ a t)) t)
0.3b	(/ (/ 2.0 t) 3.0)
1.6b	(* z (/ (sqrt (+ a t)) t))
1.6b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
91×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
20×	`associate-/l*`
16×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `distribute-lft-out`
6×	`pow1` `associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `unswap-sqr` `associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-div` `prod-exp` `cbrt-unprod`
1×	`flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `fma-udef`

Counts

4 → 180

Calls

4 calls:

11.0ms	(/ (sqrt (+ a t)) t)
9.0ms	(/ (/ 2.0 t) 3.0)
39.0ms	(* z (/ (sqrt (+ a t)) t))
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (sqrt (+ a t)) t)
35.0ms	(/ (/ 2.0 t) 3.0)
80.0ms	(* z (/ (sqrt (+ a t)) t))
224.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))

simplify889.0ms

Counts

192 → 192

Iterations

Iter	Nodes
2	2115
1	821
0	355

prune4.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
2.4b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.4b	(/ (* z (sqrt (+ t a))) t)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
63×	`prod-diff`
62×	`associate--r+`
49×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
36×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
20×	`frac-sub`
16×	`add-cbrt-cube` `add-exp-log`
15×	`distribute-lft-out`
12×	`div-inv`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`fma-neg` `associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `sqrt-div` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `unswap-sqr` `associate-/l/`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 183

Calls

4 calls:

21.0ms	(* z (sqrt (+ t a)))
11.0ms	(/ 2.0 (* t 3.0))
37.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
26.0ms	(/ (* z (sqrt (+ t a))) t)

series478.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* z (sqrt (+ t a)))
27.0ms	(/ 2.0 (* t 3.0))
267.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
97.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.2s

Counts

195 → 195

Iterations

Iter	Nodes
2	5425
1	1402
0	491

prune4.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.2b	(/ (sqrt (+ t a)) t)
0.5b	(/ 2.0 (* t 3.0))
2.2b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
56×	`prod-diff`
54×	`add-cube-cbrt`
48×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
19×	`distribute-lft-out`
16×	`sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
10×	`div-inv` `associate-/l*`
8×	`frac-times` `flip3--` `flip--`
6×	`pow1` `associate-r` `frac-sub`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-/r` `flip3-+` `associate-r/` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
2×	`clear-num` `sub-neg` `frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `cbrt-unprod` `difference-of-squares` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 185

Calls

4 calls:

146.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
22.0ms	(/ (sqrt (+ t a)) t)
14.0ms	(/ 2.0 (* t 3.0))
1.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
105.0ms	(/ (sqrt (+ t a)) t)
32.0ms	(/ 2.0 (* t 3.0))
349.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify1.3s

Counts

197 → 197

Iterations

Iter	Nodes
2	3399
1	979
0	399

prune5.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (2.0b remaining)

Error of 2.4b against oracle of 0.4b and baseline of 2.4b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
3	43
2	43
1	41
0	30

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.7s	8333×	body	80	nan
2.3s	8000×	body	80	valid