Details

sample196.0ms

Algorithm

intervals

Results

84.0ms	256×	body	80	valid
63.0ms	249×	body	80	nan

simplify2.2s

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize63.0ms

Local error

Found 4 expressions with local error:

3.5b	(/ (* z (sqrt (+ t a))) t)
2.2b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.4b	(/ 2.0 (* t 3.0))
0.2b	(* z (sqrt (+ t a)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

Slowest

28.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
21.0ms	(* z (sqrt (+ t a)))
15.0ms	(/ (* z (sqrt (+ t a))) t)
12.0ms	(/ 2.0 (* t 3.0))

series473.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

257.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
99.0ms	(/ (* z (sqrt (+ t a))) t)
96.0ms	(* z (sqrt (+ t a)))
21.0ms	(/ 2.0 (* t 3.0))

simplify2.3s

Counts: 117 → 117

prune2.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

2.2b	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.4b	(* z (/ (sqrt (+ t a)) t))
0.4b	(/ 2.0 (* t 3.0))
0.3b	(/ (sqrt (+ t a)) t)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
47×	`times-frac`
45×	`add-sqr-sqrt`
37×	`add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
20×	`frac-sub`
19×	`associate-*r/`
16×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/l*`
9×	`flip3--` `flip--`
8×	`frac-times`
7×	`distribute-lft-out`
6×	`pow1` `associate--r+` `add-log-exp`
4×	`cbrt-undiv` `associate-/r*` `flip3-+` `div-exp` `flip-+` `insert-posit16`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `sqrt-div` `associate-*l/` `associate--l+` `associate-/l/`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 147

Calls

4 calls:

Slowest

21.0ms	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
20.0ms	(* z (/ (sqrt (+ t a)) t))
11.0ms	(/ (sqrt (+ t a)) t)
8.0ms	(/ 2.0 (* t 3.0))

series515.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

262.0ms	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
138.0ms	(* z (/ (sqrt (+ t a)) t))
83.0ms	(/ (sqrt (+ t a)) t)
31.0ms	(/ 2.0 (* t 3.0))

simplify2.0s

Counts: 159 → 159

prune3.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

60.2b	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
2.2b	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
1.4b	(* z (/ (sqrt (+ t a)) t))
0.4b	(/ 2.0 (* t 3.0))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
26×	`times-frac`
25×	`associate-r`
21×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`sqrt-prod`
11×	`associate-*r/`
8×	`frac-sub`
7×	`flip3--` `flip--`
6×	`pow1` `associate--r+` `add-log-exp`
4×	`frac-times` `insert-posit16`
3×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `associate-l` `prod-exp` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `unswap-sqr`
2×	`associate-*l/` `associate--l+` `div-inv`
1×	`clear-num` `associate-/r` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `remove-posit16`

Counts

4 → 104

Calls

4 calls:

Slowest

36.0ms	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
20.0ms	(* z (/ (sqrt (+ t a)) t))
6.0ms	(/ 2.0 (* t 3.0))
0.0ms	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

303.0ms	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
102.0ms	(* z (/ (sqrt (+ t a)) t))
30.0ms	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
19.0ms	(/ 2.0 (* t 3.0))

simplify1.8s

Counts: 116 → 116

prune4.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

56.8b	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))
3.5b	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
2.2b	(- (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.4b	(/ 2.0 (* t 3.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
9×	`flip3--` `flip--`
8×	`frac-times`
6×	`associate-/l*` `associate--r+` `add-log-exp`
4×	`pow1` `associate-/r` `associate-r/` `insert-posit16`
3×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3-+` `div-exp` `flip-+`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `div-inv`
1×	`diff-log` `prod-exp` `cbrt-unprod` `remove-posit16`

Counts

4 → 92

Calls

4 calls:

Slowest

19.0ms	(- (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
10.0ms	(/ 2.0 (* t 3.0))
6.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
0.0ms	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

229.0ms	(- (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
96.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
79.0ms	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))
22.0ms	(/ 2.0 (* t 3.0))

simplify2.0s

Counts: 104 → 104

prune3.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes797.0ms

Accuracy

0% (2.3b remaining)

Error of 3.0b against oracle of 0.7b and baseline of 3.0b

bsearch13.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.5s	8000×	body	80	valid
2.5s	7754×	body	80	nan