Details

sample401.0ms

Algorithm

intervals

Results

190.0ms	1942×	body	80	nan
65.0ms	257×	body	80	valid

simplify58.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite464.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

68.0ms	(- (+ (log (+ x y)) (log z)) t)
321.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series684.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(- (+ (log (+ x y)) (log z)) t)
247.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
113.0ms	(+ (log (+ x y)) (log z))

simplify67.0ms

Counts: 114 → 114

prune505.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite21.0ms

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 z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (cbrt z) (cbrt z))
301.0ms	(cbrt z)
278.0ms	(cbrt z)
261.0ms	(cbrt z)

simplify44.0ms

Counts: 85 → 85

prune490.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a (/ 1.0 2.0)) (* 2 (log (cbrt t)))) (* (- a (/ 1.0 2.0)) (log (cbrt t))))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

55.0ms	(+ (* (- a (/ 1.0 2.0)) (* 2 (log (cbrt t)))) (* (- a (/ 1.0 2.0)) (log (cbrt t))))
13.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

260.0ms	(+ (* (- a (/ 1.0 2.0)) (* 2 (log (cbrt t)))) (* (- a (/ 1.0 2.0)) (log (cbrt t))))
94.0ms	(+ (log (+ x y)) (log z))
366.0ms	(cbrt t)
286.0ms	(cbrt t)

simplify90.0ms

Counts: 110 → 110

prune883.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a (/ 1.0 2.0)) (* 2 (log (cbrt t)))) (* (- a (/ 1.0 2.0)) (log (pow (/ 1 t) -1/3))))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(cbrt t)
5.1b	(pow (/ 1 t) -1/3)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`*-un-lft-identity`
41×	`distribute-rgt-in` `distribute-lft-in`
39×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down`
37×	`associate-+r+`
28×	`associate-+l+`
27×	`times-frac`
15×	`cbrt-prod`
10×	`pow1`
9×	`add-exp-log`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`flip3--` `frac-add` `pow-exp` `log-pow` `add-cbrt-cube` `flip--`
3×	`pow-unpow` `pow-pow` `flip3-+` `flip-+` `div-inv` `sqr-pow`
2×	`+-commutative` `associate-+l-` `log-div` `div-exp` `sum-log`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `inv-pow`

Counts

4 → 141

Calls

4 calls:

92.0ms	(+ (* (- a (/ 1.0 2.0)) (* 2 (log (cbrt t)))) (* (- a (/ 1.0 2.0)) (log (pow (/ 1 t) -1/3))))
24.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
13.0ms	(pow (/ 1 t) -1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

433.0ms	(+ (* (- a (/ 1.0 2.0)) (* 2 (log (cbrt t)))) (* (- a (/ 1.0 2.0)) (log (pow (/ 1 t) -1/3))))
103.0ms	(+ (log (+ x y)) (log z))
269.0ms	(cbrt t)
236.0ms	(pow (/ 1 t) -1/3)

simplify97.0ms

Counts: 153 → 153

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes699.0ms

Accuracy

-2.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify78.0ms

end0.0ms

sample13.8s

Algorithm

intervals

Results

7.6s	56457×	body	80	nan
1.7s	8035×	body	80	valid