Details

sample216.0ms

Algorithm

intervals

Results

90.0ms	919×	body	80	nan
23.0ms	283×	body	80	valid

simplify88.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

23×	`add-log-exp`
20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`sum-log`
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` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

952.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
57.0ms	(+ (+ (* x (log y)) z) t)
48.0ms	(* (- b 0.5) (log c))
16.0ms	(* x (log y))

series585.0ms

Counts

4 → 12

Calls

4 calls:

367.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
58.0ms	(+ (+ (* x (log y)) z) t)
94.0ms	(* (- b 0.5) (log c))
67.0ms	(* x (log y))

simplify73.0ms

Counts: 105 → 105

prune758.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- b (/ 1.0 2.0)) (* 2 (log (cbrt c)))) (* (- b (/ 1.0 2.0)) (log (cbrt c))))
0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite86.0ms

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:

64.0ms	(+ (* (- b (/ 1.0 2.0)) (* 2 (log (cbrt c)))) (* (- b (/ 1.0 2.0)) (log (cbrt c))))
10.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series912.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(+ (* (- b (/ 1.0 2.0)) (* 2 (log (cbrt c)))) (* (- b (/ 1.0 2.0)) (log (cbrt c))))
78.0ms	(* x (log y))
273.0ms	(cbrt c)
325.0ms	(cbrt c)

simplify59.0ms

Counts: 111 → 111

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- b (/ 1.0 2.0)) (* 2 (log (cbrt c)))) (* (- b (/ 1.0 2.0)) (log (pow (/ 1 c) -1/3))))
0.3b	(* x (log y))
0.6b	(cbrt c)
5.0b	(pow (/ 1 c) -1/3)

rewrite127.0ms

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:

83.0ms	(+ (* (- b (/ 1.0 2.0)) (* 2 (log (cbrt c)))) (* (- b (/ 1.0 2.0)) (log (pow (/ 1 c) -1/3))))
11.0ms	(* x (log y))
1.0ms	(cbrt c)
24.0ms	(pow (/ 1 c) -1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

572.0ms	(+ (* (- b (/ 1.0 2.0)) (* 2 (log (cbrt c)))) (* (- b (/ 1.0 2.0)) (log (pow (/ 1 c) -1/3))))
62.0ms	(* x (log y))
289.0ms	(cbrt c)
284.0ms	(pow (/ 1 c) -1/3)

simplify89.0ms

Counts: 154 → 154

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* 2 (log (cbrt c))) (log (pow (/ 1 c) -1/6)))
0.6b	(cbrt c)
4.0b	(pow (/ 1 c) -1/6)
4.0b	(pow (/ 1 c) (/ -1/3 2))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
36×	`times-frac`
29×	`log-prod`
17×	`associate-+r+`
16×	`pow-unpow`
14×	`add-exp-log`
12×	`associate-+l+`
9×	`cbrt-prod`
8×	`pow1` `pow-exp`
6×	`distribute-rgt-in` `pow-pow` `distribute-lft-in`
5×	`add-log-exp`
4×	`div-exp` `add-cbrt-cube` `div-inv`
3×	`sqr-pow`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `inv-pow`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `flip-+`

Counts

4 → 125

Calls

4 calls:

20.0ms	(+ (* 2 (log (cbrt c))) (log (pow (/ 1 c) -1/6)))
1.0ms	(cbrt c)
8.0ms	(pow (/ 1 c) -1/6)
10.0ms	(pow (/ 1 c) (/ -1/3 2))

series1.6s

Counts

4 → 12

Calls

4 calls:

687.0ms	(+ (* 2 (log (cbrt c))) (log (pow (/ 1 c) -1/6)))
479.0ms	(cbrt c)
198.0ms	(pow (/ 1 c) -1/6)
224.0ms	(pow (/ 1 c) (/ -1/3 2))

simplify50.0ms

Counts: 137 → 137

prune1.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes966.0ms

Accuracy

-1.4% (0.1b remaining)

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

bsearch0.0ms

simplify90.0ms

end0.0ms

sample8.6s

Algorithm

intervals

Results

4.2s	27784×	body	80	nan
1.2s	9223×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid