Details

sample101.0ms

Algorithm

intervals

Results

30.0ms	289×	body	80	valid
18.0ms	270×	body	80	nan
0.0ms	1×	body	1280	valid

simplify46.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

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)))
0.2b	(* z (log t))

rewrite914.0ms

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:

29.0ms	(* (- a 0.5) b)
675.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
191.0ms	(- (+ (+ x y) z) (* z (log t)))
16.0ms	(* z (log t))

series370.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (- a 0.5) b)
218.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
56.0ms	(- (+ (+ x y) z) (* z (log t)))
59.0ms	(* z (log t))

simplify65.0ms

Counts: 102 → 102

prune424.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.2b	(* (log (sqrt t)) z)
0.2b	(* z (log (sqrt t)))

rewrite931.0ms

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:

159.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
747.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
10.0ms	(* (log (sqrt t)) z)
11.0ms	(* z (log (sqrt t)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
84.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
147.0ms	(* (log (sqrt t)) z)
119.0ms	(* z (log (sqrt t)))

simplify42.0ms

Counts: 112 → 112

prune589.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

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)

rewrite26.0ms

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:

19.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

306.0ms	(* (cbrt t) (cbrt t))
243.0ms	(cbrt t)
226.0ms	(cbrt t)
269.0ms	(cbrt t)

simplify38.0ms

Counts: 85 → 85

prune641.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (- z (* (log (sqrt t)) (+ z z))))
0.0b	(+ (+ (+ x y) (- z (* (log (sqrt t)) (+ z z)))) (* (- a 0.5) b))
0.2b	(* (log (sqrt t)) (+ z z))
0.2b	(- z (* (log (sqrt t)) (+ z z)))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-log-exp`
24×	`frac-add`
17×	`*-un-lft-identity` `sum-log`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `associate-r` `associate-*l/`
11×	`flip3-+` `flip-+`
10×	`add-cube-cbrt`
8×	`pow1`
6×	`add-exp-log` `associate-l` `add-cbrt-cube` `distribute-lft-out`
5×	`diff-log`
3×	`distribute-rgt-out` `log-pow`
2×	`+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `associate-+l+` `associate-+r+` `distribute-lft-in` `associate-*r/` `associate--r+`
1×	`associate-+l-` `distribute-lft1-in` `sqrt-pow1` `pow1/2` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

38.0ms	(+ (+ x y) (- z (* (log (sqrt t)) (+ z z))))
239.0ms	(+ (+ (+ x y) (- z (* (log (sqrt t)) (+ z z)))) (* (- a 0.5) b))
41.0ms	(* (log (sqrt t)) (+ z z))
9.0ms	(- z (* (log (sqrt t)) (+ z z)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (+ x y) (- z (* (log (sqrt t)) (+ z z))))
319.0ms	(+ (+ (+ x y) (- z (* (log (sqrt t)) (+ z z)))) (* (- a 0.5) b))
130.0ms	(* (log (sqrt t)) (+ z z))
151.0ms	(- z (* (log (sqrt t)) (+ z z)))

simplify115.0ms

Counts: 113 → 113

prune606.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes604.0ms

Accuracy

-22.6% (0.1b remaining)

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

bsearch0.0ms

simplify69.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.2s	9306×	body	80	nan
861.0ms	9159×	body	80	valid
1.0ms	4×	body	160	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid