Details

sample60.0ms

Algorithm

intervals

Results

32.0ms

256×

body

valid

simplify688.0ms

Counts: 1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
26.0b	(/ (* (- 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))

rewrite325.0ms

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:

51.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
34.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
54.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
182.0ms	(/ (* (- 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))

series497.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
98.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
53.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
281.0ms	(/ (* (- 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))

simplify1.3s

Counts: 103 → 103

prune563.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.1b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
23.6b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite325.0ms

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:

77.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
39.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
60.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
144.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series516.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
95.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
63.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
304.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify1.2s

Counts: 103 → 103

prune738.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) (* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) x))
15.6b	(sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416))
15.6b	(sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416))
23.6b	(/ (+ (* (+ (* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) (* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) x)) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite634.0ms

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:

201.0ms	(* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) (* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) x))
25.0ms	(sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416))
19.0ms	(sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416))
386.0ms	(/ (+ (* (+ (* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) (* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) x)) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series531.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) (* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) x))
94.0ms	(sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416))
83.0ms	(sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416))
305.0ms	(/ (+ (* (+ (* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) (* (sqrt (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416)) x)) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify991.0ms

Counts: 102 → 102

prune743.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

6.5b	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
6.5b	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
16.5b	(/ (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
20.3b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

rewrite614.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
164×	`add-sqr-sqrt`
162×	`add-cube-cbrt` `*-un-lft-identity`
156×	`sqrt-prod`
27×	`associate-/l*`
22×	`sqrt-div`
18×	`associate-/r/`
12×	`flip3-+` `associate-/r*` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 264

Calls

4 calls:

55.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
56.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
306.0ms	(/ (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
184.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

series925.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
97.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
273.0ms	(/ (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
462.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))

simplify1.5s

Counts: 276 → 276

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes293.0ms

Accuracy

97.7% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 24.5b

bsearch269.0ms

Steps

Iters	Range		Point
2	2.0995604321618636e+40	2.360257581849189e+40	2.233153632166888e+40
9	-1.91003731435275e+62	-3.596774951953504e+56	-1.9761868315208856e+58

simplify728.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

8006×

body

valid