Details

sample117.0ms

Algorithm

intervals

Results

52.0ms	372×	body	80	valid
27.0ms	371×	body	80	nan

simplify815.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

107.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
51.0ms	(* (- x 0.5) (log x))
34.0ms	(- (* (- x 0.5) (log x)) x)
128.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.0s

Counts

4 → 12

Calls

4 calls:

720.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
442.0ms	(* (- x 0.5) (log x))
677.0ms	(- (* (- x 0.5) (log x)) x)
126.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify724.0ms

Counts: 110 → 110

prune716.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.5b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
355.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series927.0ms

Counts

4 → 12

Calls

4 calls:

311.0ms	(cbrt x)
291.0ms	(cbrt x)
225.0ms	(cbrt x)
100.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify940.0ms

Counts: 74 → 74

prune608.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize84.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
4.9b	(pow (/ 1 x) -1/3)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`unpow-prod-down`
11×	`add-exp-log`
6×	`pow1` `cbrt-prod` `add-cbrt-cube`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `div-exp` `associate-/r` `associate-/l`
2×	`pow1/3` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `inv-pow` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
89.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
15.0ms	(pow (/ 1 x) -1/3)

series935.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt x)
271.0ms	(cbrt x)
113.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
296.0ms	(pow (/ 1 x) -1/3)

simplify1.9s

Counts: 95 → 95

prune887.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
0.2b	(* (- x 0.5) (log x))
0.3b	(- (* (- x 0.5) (log x)) (- x 0.91893853320467))
3.3b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
12×	`log-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `times-frac` `add-log-exp`
8×	`associate-l` `associate-*l/`
7×	`flip3--` `associate-r` `flip--`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
4×	`frac-sub`
3×	`diff-log` `associate-/r` `associate-/l`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `log-pow` `flip-+` `div-inv` `distribute-lft-out--` `associate--r-` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

81.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
46.0ms	(* (- x 0.5) (log x))
28.0ms	(- (* (- x 0.5) (log x)) (- x 0.91893853320467))
61.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z)
471.0ms	(* (- x 0.5) (log x))
677.0ms	(- (* (- x 0.5) (log x)) (- x 0.91893853320467))
140.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.1s

Counts: 116 → 116

prune575.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.5b

regimes516.0ms

Accuracy

0% (1.1b remaining)

Error of 5.9b against oracle of 4.7b and baseline of 5.9b

bsearch0.0ms

simplify949.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.7s	11626×	body	80	nan
1.6s	11536×	body	80	valid