Details

sample74.0ms

Algorithm

intervals

Results

26.0ms	357×	body	80	valid
25.0ms	393×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3225
5	1468
4	651
3	234
2	83
1	37
0	20

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
8.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite257.0ms

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×	`associate-+l+` `add-cbrt-cube` `add-exp-log`
7×	`pow1`
5×	`associate-l`
4×	`associate-r` `insert-posit16`
3×	`associate-/r` `associate-/l`
2×	`sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-*l/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

44.0ms	(* (- x 0.5) (log x))
33.0ms	(- (* (- x 0.5) (log x)) x)
92.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
83.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.9s

Counts

4 → 12

Calls

4 calls:

425.0ms	(* (- x 0.5) (log x))
653.0ms	(- (* (- x 0.5) (log x)) x)
726.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
114.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5011
2	1475
1	530
0	220

prune876.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.5b

localize75.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))
8.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`times-frac`
8×	`pow1/3` `add-exp-log`
6×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
14.0ms	(* (cbrt x) (cbrt x))
81.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series958.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt x)
280.0ms	(cbrt x)
259.0ms	(* (cbrt x) (cbrt x))
126.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5032
3	3730
2	926
1	320
0	135

prune921.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.5b

localize96.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (log (pow x 2/3)) (- x 0.5)) (+ (- (* (log (cbrt x)) (- x 0.5)) x) 0.91893853320467))
0.5b	(cbrt x)
6.0b	(pow x 2/3)
8.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite313.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`add-log-exp`
9×	`times-frac`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1` `sum-log`
4×	`associate-+l+` `flip3-+` `frac-add` `associate-*r/` `flip-+` `insert-posit16`
3×	`cbrt-prod` `pow-unpow` `associate-/r` `unpow-prod-down` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `flip--` `associate-/l/`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `associate-+r+` `clear-num` `associate-+r-` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `div-exp` `pow-exp` `associate-+l-` `div-inv` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

209.0ms	(+ (* (log (pow x 2/3)) (- x 0.5)) (+ (- (* (log (cbrt x)) (- x 0.5)) x) 0.91893853320467))
1.0ms	(cbrt x)
2.0ms	(pow x 2/3)
98.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series3.0s

Counts

4 → 12

Calls

4 calls:

2.4s	(+ (* (log (pow x 2/3)) (- x 0.5)) (+ (- (* (log (cbrt x)) (- x 0.5)) x) 0.91893853320467))
218.0ms	(cbrt x)
265.0ms	(pow x 2/3)
134.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify2.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	2595
1	725
0	252

prune999.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.5b

localize97.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt 2/3) (cbrt 2/3))
2.9b	(pow x (* (cbrt 2/3) (cbrt 2/3)))
5.8b	(pow (pow x (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))
8.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
19×	`cbrt-prod`
13×	`unpow-prod-down`
12×	`pow1`
11×	`add-exp-log`
9×	`times-frac`
7×	`pow-unpow`
6×	`add-cbrt-cube` `pow1/3` `swap-sqr` `associate-r` `associate-l`
5×	`pow-exp`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `associate-/r` `associate-/l` `sqr-pow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv`

Counts

4 → 114

Calls

4 calls:

18.0ms	(* (cbrt 2/3) (cbrt 2/3))
6.0ms	(pow x (* (cbrt 2/3) (cbrt 2/3)))
12.0ms	(pow (pow x (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))
77.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 10

Calls

4 calls:

0.0ms	(* (cbrt 2/3) (cbrt 2/3))
372.0ms	(pow x (* (cbrt 2/3) (cbrt 2/3)))
693.0ms	(pow (pow x (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))
111.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify1.8s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1416
1	502
0	188

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

regimes902.0ms

Accuracy

92.5% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 5.8b

bsearch175.0ms

Steps

Iters	Range		Point
8	443.57959014112146	10567498.71743014	2849501.9306197646

simplify13.0ms

Iterations

Iter	Nodes
done	61
1	61
0	47

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.1s	11598×	body	80	nan
2.0s	11624×	body	80	valid