Details

sample133.0ms

Algorithm

intervals

Results

49.0ms	386×	body	80	nan
40.0ms	376×	body	80	valid

simplify804.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize25.0ms

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)) x)
0.2b	(* (- x 0.5) (log x))
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite537.0ms

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:

91.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
330.0ms	(- (* (- x 0.5) (log x)) x)
24.0ms	(* (- x 0.5) (log x))
89.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.7s

Counts

4 → 12

Calls

4 calls:

695.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
556.0ms	(- (* (- x 0.5) (log x)) x)
331.0ms	(* (- x 0.5) (log x))
108.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify749.0ms

Counts: 110 → 110

prune609.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite80.0ms

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:

2.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
73.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt x)
353.0ms	(cbrt x)
278.0ms	(cbrt x)
129.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.3s

Counts: 74 → 74

prune591.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.1b	(pow (/ 1 x) -1/3)

rewrite68.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
57.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
8.0ms	(pow (/ 1 x) -1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

334.0ms	(cbrt x)
298.0ms	(cbrt x)
138.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
274.0ms	(pow (/ 1 x) -1/3)

simplify1.6s

Counts: 95 → 95

prune807.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(* (- x 0.5) (log x))
0.4b	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
34×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `sqrt-pow1`
24×	`add-cube-cbrt`
22×	`pow-prod-down`
18×	`associate-*l/`
14×	`associate-l`
12×	`add-exp-log` `log-prod` `sqrt-div` `associate-r` `add-cbrt-cube`
10×	`pow1/2` `pow-prod-up`
9×	`times-frac`
8×	`flip3--` `flip--`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-sqr`
4×	`frac-times` `swap-sqr` `sqrt-prod` `add-log-exp`
3×	`prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-*r/` `log-pow` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `pow2` `frac-2neg` `flip3-+` `pow-plus` `sqrt-unprod` `div-exp` `clear-num` `rem-square-sqrt` `flip-+` `div-inv`

Counts

4 → 144

Calls

4 calls:

30.0ms	(* (- x 0.5) (log x))
30.0ms	(* (- x 0.5) (log x))
113.0ms	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
90.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

449.0ms	(* (- x 0.5) (log x))
357.0ms	(* (- x 0.5) (log x))
337.0ms	(* (sqrt (* (- x 0.5) (log x))) (sqrt (* (- x 0.5) (log x))))
129.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.4s

Counts: 156 → 156

prune791.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.0b

regimes512.0ms

Accuracy

0% (1.1b remaining)

Error of 5.7b against oracle of 4.6b and baseline of 5.7b

bsearch0.0ms

simplify1.3s

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.6s	11454×	body	80	nan
1.3s	11570×	body	80	valid