Details

sample241.0ms

Algorithm

intervals

Results

107.0ms	931×	body	80	nan
26.0ms	292×	body	80	valid
1.0ms	1×	body	640	valid

simplify1.2s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

3.3s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
775.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
43.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series1.2s

Counts

4 → 12

Calls

4 calls:

753.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
311.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
64.0ms	(* (- b 0.5) (log c))
61.0ms	(* x (log y))

simplify1.0s

Counts: 107 → 107

prune551.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

14.0ms	(* x (log y))
61.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series723.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* x (log y))
188.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
216.0ms	(cbrt c)
279.0ms	(cbrt c)

simplify720.0ms

Counts: 111 → 111

prune986.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow (/ 1 c) -1/3))))
0.6b	(cbrt c)
5.0b	(pow (/ 1 c) -1/3)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

64×	`log-prod`
44×	`distribute-rgt-in` `distribute-lft-in`
43×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
39×	`unpow-prod-down`
34×	`associate-+r+`
27×	`times-frac`
24×	`associate-+l+`
15×	`cbrt-prod`
11×	`add-exp-log`
9×	`pow1`
8×	`associate-*l/`
6×	`add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `pow-exp` `flip--`
3×	`pow-unpow` `pow-pow` `associate-l` `div-inv` `sqr-pow`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

9.0ms	(* x (log y))
68.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow (/ 1 c) -1/3))))
1.0ms	(cbrt c)
7.0ms	(pow (/ 1 c) -1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

54.0ms	(* x (log y))
455.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (pow (/ 1 c) -1/3))))
248.0ms	(cbrt c)
272.0ms	(pow (/ 1 c) -1/3)

simplify1.5s

Counts: 154 → 154

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt 1) (sqrt c))
0.6b	(cbrt c)
4.1b	(pow (/ (sqrt 1) (sqrt c)) -1/3)
4.1b	(pow (/ (sqrt 1) (sqrt c)) -1/3)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

114×	`sqrt-prod`
108×	`times-frac`
85×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
80×	`unpow-prod-down`
12×	`add-exp-log`
6×	`pow1` `pow-unpow` `associate-/r` `add-cbrt-cube` `associate-/l`
4×	`pow-exp` `add-log-exp`
3×	`cbrt-prod` `sqrt-undiv` `div-exp` `div-inv`
2×	`pow-to-exp` `pow-pow` `sqrt-pow2` `sqr-pow`
1×	`cbrt-undiv` `frac-2neg` `pow1/3` `clear-num`

Counts

4 → 184

Calls

4 calls:

17.0ms	(/ (sqrt 1) (sqrt c))
2.0ms	(cbrt c)
24.0ms	(pow (/ (sqrt 1) (sqrt c)) -1/3)
24.0ms	(pow (/ (sqrt 1) (sqrt c)) -1/3)

series724.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (sqrt 1) (sqrt c))
346.0ms	(cbrt c)
164.0ms	(pow (/ (sqrt 1) (sqrt c)) -1/3)
183.0ms	(pow (/ (sqrt 1) (sqrt c)) -1/3)

simplify868.0ms

Counts: 196 → 196

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

13.1% (0.1b remaining)

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

bsearch0.0ms

simplify575.0ms

end0.0ms

sample9.9s

Algorithm

intervals

Results

4.5s	27392×	body	80	nan
1.7s	9256×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid