Details

sample47.0ms

Algorithm

intervals

Results

21.0ms

257×

body

valid

simplify39.0ms

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
25.7b	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r` `associate-l`
8×	`associate-*l/` `associate-/l/`
7×	`flip3-+` `flip-+`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `times-frac` `pow-prod-down` `associate-/r` `-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

60.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
69.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
40.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
193.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series510.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
63.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
80.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
316.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify85.0ms

Counts: 103 → 103

prune646.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
24.4b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite636.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

45.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
57.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
38.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
493.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series423.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
49.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
97.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
225.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify71.0ms

Counts: 103 → 103

prune598.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x))
14.7b	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
14.7b	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
24.4b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`flip3-+` `flip-+`
9×	`times-frac` `sqrt-prod`
8×	`associate-*l/`
6×	`associate-l`
4×	`frac-times` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

108.0ms	(* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x))
17.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
16.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
241.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

series450.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x))
64.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
59.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
273.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

simplify48.0ms

Counts: 102 → 102

prune709.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

15.4b	(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
15.4b	(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
15.4b	(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
19.5b	(* (/ (- x 2.0) (* (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`-un-lft-identity` `associate-r*`
22×	`add-cube-cbrt`
20×	`cbrt-prod` `cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3-+` `associate-/r/` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

45.0ms	(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
39.0ms	(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
51.0ms	(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
954.0ms	(* (/ (- x 2.0) (* (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))

series918.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
184.0ms	(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
193.0ms	(cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
352.0ms	(* (/ (- x 2.0) (* (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (cbrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))))

simplify81.0ms

Counts: 122 → 122

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes402.0ms

Accuracy

96.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 24.6b

bsearch325.0ms

Steps

Iters	Range		Point
6	1.3891154800348428e+38	1.3980828701306097e+39	1.2893714819382387e+39
8	-1.944002264022683e+18	-4.8762615656865e+14	-1.91708479608909e+18

simplify83.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

8010×

body

valid