Details

sample148.0ms

Algorithm

intervals

Results

46.0ms	379×	body	80	valid
43.0ms	388×	body	80	nan

simplify893.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize58.0ms

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))
4.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite214.0ms

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:

75.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
24.0ms	(- (* (- x 0.5) (log x)) x)
46.0ms	(* (- x 0.5) (log x))
64.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.9s

Counts

4 → 12

Calls

4 calls:

718.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
701.0ms	(- (* (- x 0.5) (log x)) x)
383.0ms	(* (- x 0.5) (log x))
143.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify775.0ms

Counts: 110 → 110

prune631.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite85.0ms

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)
78.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.0s

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt x)
263.0ms	(cbrt x)
279.0ms	(cbrt x)
131.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.3s

Counts: 74 → 74

prune568.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.5b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.1b	(pow (/ 1 x) -1/3)

rewrite86.0ms

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)
64.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
15.0ms	(pow (/ 1 x) -1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt x)
298.0ms	(cbrt x)
138.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
279.0ms	(pow (/ 1 x) -1/3)

simplify1.7s

Counts: 95 → 95

prune711.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.5b

localize68.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt -1/3) (cbrt -1/3))
4.0b	(pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3)))
4.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.3b	(pow (pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

rewrite500.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
43×	`unpow-prod-down`
37×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
19×	`add-exp-log` `cbrt-prod`
14×	`pow-exp`
13×	`pow1`
7×	`pow-unpow`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube`
5×	`div-exp`
4×	`pow-pow` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `associate-/r` `div-inv` `associate-/l` `sqr-pow`
2×	`rec-exp` `1-exp` `pow-prod-down` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `pow2` `pow-flip` `frac-2neg` `flip3-+` `pow-plus` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 138

Calls

4 calls:

12.0ms	(* (cbrt -1/3) (cbrt -1/3))
9.0ms	(pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3)))
460.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
14.0ms	(pow (pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

series1.3s

Counts

4 → 10

Calls

4 calls:

0.0ms	(* (cbrt -1/3) (cbrt -1/3))
368.0ms	(pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3)))
137.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
818.0ms	(pow (pow (/ 1 x) (* (cbrt -1/3) (cbrt -1/3))) (cbrt -1/3))

simplify979.0ms

Counts: 148 → 148

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

regimes513.0ms

Accuracy

-2.5% (1.2b remaining)

Error of 6.3b against oracle of 5.1b and baseline of 6.3b

bsearch0.0ms

simplify1.2s

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	11775×	body	80	valid
1.3s	11618×	body	80	nan