Details

sample139.0ms

Algorithm

intervals

Results

46.0ms	299×	body	80	valid
29.0ms	337×	body	80	nan

simplify1.0s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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:

46.0ms	(* (- a 0.5) b)
708.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
273.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series383.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- a 0.5) b)
181.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
77.0ms	(- (+ (+ x y) z) (* z (log t)))
70.0ms	(* z (log t))

simplify1.4s

Counts: 102 → 102

prune451.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt t))) z)
0.3b	(+ (* (* 2 (log (cbrt t))) z) (* (log (cbrt t)) z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

4 → 52

Calls

4 calls:

21.0ms	(* (* 2 (log (cbrt t))) z)
25.0ms	(+ (* (* 2 (log (cbrt t))) z) (* (log (cbrt t)) z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

515.0ms	(* (* 2 (log (cbrt t))) z)
151.0ms	(+ (* (* 2 (log (cbrt t))) z) (* (log (cbrt t)) z))
267.0ms	(cbrt t)
361.0ms	(cbrt t)

simplify2.1s

Counts: 64 → 64

prune457.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

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)

rewrite29.0ms

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:

21.0ms	(* (cbrt t) (cbrt t))
2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

308.0ms	(* (cbrt t) (cbrt t))
316.0ms	(cbrt t)
256.0ms	(cbrt t)
283.0ms	(cbrt t)

simplify673.0ms

Counts: 85 → 85

prune526.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* z (* 3 (log (cbrt t)))))
0.2b	(* 3 (log (cbrt t)))
0.3b	(* z (* 3 (log (cbrt t))))
0.6b	(cbrt t)

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
33×	`cbrt-prod`
30×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate--r+`
13×	`add-log-exp`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`diff-log` `sum-log`
2×	`pow1/3` `log-pow` `*-commutative`
1×	`sub-neg` `flip3--` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

257.0ms	(- (+ (+ x y) z) (* z (* 3 (log (cbrt t)))))
11.0ms	(* 3 (log (cbrt t)))
36.0ms	(* z (* 3 (log (cbrt t))))
2.0ms	(cbrt t)

series847.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (+ (+ x y) z) (* z (* 3 (log (cbrt t)))))
364.0ms	(* 3 (log (cbrt t)))
120.0ms	(* z (* 3 (log (cbrt t))))
254.0ms	(cbrt t)

simplify803.0ms

Counts: 136 → 136

prune742.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes1.0s

Accuracy

-1.9% (0.1b remaining)

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

bsearch0.0ms

simplify907.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

914.0ms	9339×	body	80	nan
912.0ms	9160×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid