Details

sample220.0ms

Algorithm

intervals

Results

82.0ms	270×	body	80	nan
68.0ms	256×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt (+ a t)) t)
0.3b	(/ (/ 2.0 t) 3.0)
1.8b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
1.8b	(* z (/ (sqrt (+ a t)) t))

rewrite82.0ms

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:

29.0ms	(/ (sqrt (+ a t)) t)
14.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
32.0ms	(* z (/ (sqrt (+ a t)) t))

series473.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (sqrt (+ a t)) t)
30.0ms	(/ (/ 2.0 t) 3.0)
209.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
139.0ms	(* z (/ (sqrt (+ a t)) t))

simplify832.0ms

Counts

192 → 192

Iterations

Iter	Nodes
2	2130
1	824
0	355

prune4.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt (+ a t)))
0.6b	(cbrt (sqrt (+ a t)))
0.6b	(cbrt (sqrt (+ a t)))
1.8b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (* (* (/ (cbrt (sqrt (+ a t))) (cbrt t)) (/ (cbrt (sqrt (+ a t))) (cbrt t))) z) (/ (cbrt (sqrt (+ a t))) (cbrt t))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
16×	`*-un-lft-identity`
12×	`sqrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `sqrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`fma-udef`

Counts

4 → 71

Calls

4 calls:

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

series792.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (sqrt (+ a t)))
163.0ms	(cbrt (sqrt (+ a t)))
170.0ms	(cbrt (sqrt (+ a t)))
268.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (* (* (/ (cbrt (sqrt (+ a t))) (cbrt t)) (/ (cbrt (sqrt (+ a t))) (cbrt t))) z) (/ (cbrt (sqrt (+ a t))) (cbrt t))))

simplify4.3s

Counts

83 → 83

Iterations

Iter	Nodes
4	8417
3	1996
2	673
1	267
0	124

prune2.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2.0 t) 3.0)
1.8b	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))))
1.8b	(* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))))
58.1b	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
50×	`add-sqr-sqrt`
48×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `associate-r` `associate-l*`
1×	`clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `remove-posit16` `unswap-sqr` `associate-/l/`

Counts

4 → 116

Calls

4 calls:

13.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))))
6.0ms	(* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))))
0.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (/ 2.0 t) 3.0)
201.0ms	(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))))
112.0ms	(* z (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))))
93.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

simplify1.8s

Counts

128 → 128

Iterations

Iter	Nodes
3	4496
2	1554
1	641
0	286

prune4.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.8333333333333334 c (* (/ 0.6666666666666666 t) (- b c)))
0.0b	(/ x (fma y (exp (* 2.0 (fma 0.8333333333333334 c (* (/ 0.6666666666666666 t) (- b c))))) x))
0.0b	(exp (* 2.0 (fma 0.8333333333333334 c (* (/ 0.6666666666666666 t) (- b c)))))
0.1b	(* (/ 0.6666666666666666 t) (- b c))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
32×	`add-cube-cbrt`
19×	`times-frac`
18×	`prod-diff`
13×	`associate-l`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-udef` `associate-/l`
2×	`frac-times` `cbrt-undiv` `sub-neg` `flip3--` `div-exp` `exp-sum` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`
1×	`exp-prod` `clear-num` `frac-2neg` `exp-to-pow` `pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`

Counts

4 → 119

Calls

4 calls:

0.0ms	(fma 0.8333333333333334 c (* (/ 0.6666666666666666 t) (- b c)))
4.0ms	(/ x (fma y (exp (* 2.0 (fma 0.8333333333333334 c (* (/ 0.6666666666666666 t) (- b c))))) x))
4.0ms	(exp (* 2.0 (fma 0.8333333333333334 c (* (/ 0.6666666666666666 t) (- b c)))))
30.0ms	(* (/ 0.6666666666666666 t) (- b c))

series493.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(fma 0.8333333333333334 c (* (/ 0.6666666666666666 t) (- b c)))
200.0ms	(/ x (fma y (exp (* 2.0 (fma 0.8333333333333334 c (* (/ 0.6666666666666666 t) (- b c))))) x))
126.0ms	(exp (* 2.0 (fma 0.8333333333333334 c (* (/ 0.6666666666666666 t) (- b c)))))
97.0ms	(* (/ 0.6666666666666666 t) (- b c))

simplify3.5s

Counts

131 → 131

Iterations

Iter	Nodes
3	5366
2	1703
1	599
0	259

prune2.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes695.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 1.6b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	34
1	34
0	30

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.9s	8000×	body	80	valid
2.1s	7940×	body	80	nan