Details

sample83.0ms

Algorithm

intervals

Results

27.0ms	288×	body	80	valid
16.0ms	338×	body	80	nan

simplify601.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
3×	`associate-+l+`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

44.0ms	(* (- a 0.5) b)
760.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
206.0ms	(- (+ (+ x y) z) (* z (log t)))
15.0ms	(* z (log t))

series343.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- a 0.5) b)
193.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
45.0ms	(- (+ (+ x y) z) (* z (log t)))
58.0ms	(* z (log t))

simplify991.0ms

Counts: 102 → 102

prune356.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

15.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt t) (cbrt t))
242.0ms	(cbrt t)
231.0ms	(cbrt t)
296.0ms	(cbrt t)

simplify806.0ms

Counts: 85 → 85

prune462.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* b (- a 0.5))
0.0b	(- (* b (- a 0.5)) (* z (log t)))
0.1b	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
0.3b	(* z (log t))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
23×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
12×	`distribute-rgt-in` `add-cube-cbrt` `log-prod` `distribute-lft-in` `sum-log`
9×	`pow1` `associate-r`
8×	`add-exp-log` `sub-neg` `associate--l+` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `distribute-lft-out` `associate--r+`
4×	`flip3--` `diff-log` `frac-add` `flip--`
3×	`flip3-+` `flip-+`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `associate-+l+` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

28.0ms	(* b (- a 0.5))
28.0ms	(- (* b (- a 0.5)) (* z (log t)))
189.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
9.0ms	(* z (log t))

series320.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* b (- a 0.5))
64.0ms	(- (* b (- a 0.5)) (* z (log t)))
170.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
49.0ms	(* z (log t))

simplify1.4s

Counts: 116 → 116

prune500.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 100

Calls

4 calls:

989.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
206.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
10.0ms	(* (log (sqrt t)) z)
18.0ms	(* z (log (sqrt t)))

series445.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
73.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
153.0ms	(* (log (sqrt t)) z)
133.0ms	(* z (log (sqrt t)))

simplify878.0ms

Counts: 112 → 112

prune510.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes608.0ms

Accuracy

-2% (0.1b remaining)

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

bsearch0.0ms

simplify788.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	9139×	body	80	valid
805.0ms	8957×	body	80	nan
0.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid