Details

sample84.0ms

Algorithm

intervals

Results

41.0ms

257×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
4	1689
3	453
2	136
1	55
0	29

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize273.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.1b	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
24.7b	(/ (* (- 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))

rewrite854.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
8×	`associate-*l/` `associate-/l/`
7×	`flip3-+` `flip-+`
4×	`frac-times` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `times-frac` `flip3--` `pow-prod-down` `-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-*r/` `associate-/r/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 95

Calls

4 calls:

124.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
76.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
266.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
383.0ms	(/ (* (- 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))

series766.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
124.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
120.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
440.0ms	(/ (* (- 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))

simplify6.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	2870
1	692
0	230

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize270.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.1b	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
22.7b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite904.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 95

Calls

4 calls:

159.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
76.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
274.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
390.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series628.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
109.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
95.0ms	(* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x)
370.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify4.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5006
2	2098
1	580
0	215

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize355.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)
15.2b	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
15.2b	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
22.7b	(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite875.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-prod`
9×	`times-frac`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`sqrt-div` `associate-l`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `associate-/r/` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 89

Calls

4 calls:

118.0ms	(* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)
46.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
51.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
655.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

series682.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)
88.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
66.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
384.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify4.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5005
2	1517
1	478
0	194

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize483.0ms

Local error

Found 4 expressions with local error:

15.2b	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
15.2b	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
15.2b	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
22.7b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (* (* (* (cbrt (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (cbrt (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)))) (cbrt (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)))) x)) 313.399215894) x) 47.066876606))

rewrite7.4s

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `sqrt-prod`
7×	`pow1`
6×	`add-cbrt-cube` `sqrt-div` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `associate-/r` `sqrt-pow1` `pow1/2` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 80

Calls

4 calls:

43.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
32.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
59.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
7.3s	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (* (* (* (cbrt (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (cbrt (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)))) (cbrt (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)))) x)) 313.399215894) x) 47.066876606))

series628.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
59.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
68.0ms	(sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))
410.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (* (* (* (cbrt (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (cbrt (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)))) (cbrt (sqrt (+ (* (+ x 43.3400022514) x) 263.505074721)))) x)) 313.399215894) x) 47.066876606))

simplify3.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1236
1	389
0	157

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes985.0ms

Accuracy

97.1% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 24.9b

bsearch521.0ms

Steps

Iters	Range		Point
8	4.914353332754341e+32	2.99988769581893e+36	1.2768733135552317e+36
9	-2.338745842489694e+29	-1.9050115763596924e+22	-2.3024317203567868e+29

simplify64.0ms

Iterations

Iter	Nodes
done	71
1	71
0	48

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.9s

8010×

body

valid