Details

sample126.0ms

Algorithm

intervals

Results

52.0ms	389×	body	80	valid
30.0ms	404×	body	80	nan

simplify72.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
5.5b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite242.0ms

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:

40.0ms	(* (- x 0.5) (log x))
75.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
17.0ms	(- (* (- x 0.5) (log x)) x)
104.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series2.0s

Counts

4 → 12

Calls

4 calls:

478.0ms	(* (- x 0.5) (log x))
723.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
705.0ms	(- (* (- x 0.5) (log x)) x)
119.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify48.0ms

Counts: 110 → 110

prune632.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (sqrt x)) (- x 0.5))
0.1b	(* (log (sqrt x)) (- x 0.5))
0.2b	(+ (+ (* (log (sqrt x)) (- x 0.5)) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
5.5b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

43.0ms	(* (log (sqrt x)) (- x 0.5))
23.0ms	(* (log (sqrt x)) (- x 0.5))
252.0ms	(+ (+ (* (log (sqrt x)) (- x 0.5)) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series754.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (log (sqrt x)) (- x 0.5))
193.0ms	(* (log (sqrt x)) (- x 0.5))
261.0ms	(+ (+ (* (log (sqrt x)) (- x 0.5)) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
123.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify60.0ms

Counts: 115 → 115

prune661.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.2b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.5b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite95.0ms

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)
90.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series980.0ms

Counts

4 → 12

Calls

4 calls:

302.0ms	(cbrt x)
264.0ms	(cbrt x)
292.0ms	(cbrt x)
121.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify64.0ms

Counts: 74 → 74

prune582.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
0.3b	(/ 1 (/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333)))
5.5b	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
62×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
12×	`log-prod` `associate--l+`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`associate-+l+` `div-exp`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`sub-neg` `rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log`
1×	`+-commutative` `associate-+l-` `flip3--` `pow-flip` `flip--` `distribute-lft-out` `inv-pow`

Counts

4 → 153

Calls

4 calls:

105.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
18.0ms	(- (* (- x 0.5) (log x)) x)
94.0ms	(/ 1 (/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333)))
61.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

series1.6s

Counts

4 → 12

Calls

4 calls:

619.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
632.0ms	(- (* (- x 0.5) (log x)) x)
147.0ms	(/ 1 (/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333)))
223.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

simplify90.0ms

Counts: 165 → 165

prune842.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.7b

regimes559.0ms

Accuracy

32.7% (1.6b remaining)

Error of 5.4b against oracle of 3.8b and baseline of 6.2b

bsearch123.0ms

Steps

Iters	Range		Point
6	1.3005856128586755e+87	6.818517584135693e+87	6.743725811360243e+87

simplify27.0ms

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.3s	11749×	body	80	valid
1.3s	11765×	body	80	nan