Details

sample53.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize81.0ms

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) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
25.4b	(/ (* (- 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))

rewrite370.0ms

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:

41.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
77.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
44.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
205.0ms	(/ (* (- 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))

series597.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
77.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
127.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
327.0ms	(/ (* (- 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))

simplify2.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5003
2	2852
1	679
0	226

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize104.0ms

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) 137.519416416) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
22.9b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite378.0ms

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:

57.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
102.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
31.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
186.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series517.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
66.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
107.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
301.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify2.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	2055
1	567
0	211

prune931.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.2b	(* 43.3400022514 (* x x))
8.0b	(+ (* 43.3400022514 (* x x)) (* x (+ 263.505074721 (* x x))))
22.9b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (+ (* 43.3400022514 (* x x)) (* x (+ 263.505074721 (* x x)))) 313.399215894) x) 47.066876606))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

28.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
21.0ms	(* 43.3400022514 (* x x))
38.0ms	(+ (* 43.3400022514 (* x x)) (* x (+ 263.505074721 (* x x))))
264.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (+ (* 43.3400022514 (* x x)) (* x (+ 263.505074721 (* x x)))) 313.399215894) x) 47.066876606))

series520.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
38.0ms	(* 43.3400022514 (* x x))
36.0ms	(+ (* 43.3400022514 (* x x)) (* x (+ 263.505074721 (* x x))))
314.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (+ (* 43.3400022514 (* x x)) (* x (+ 263.505074721 (* x x)))) 313.399215894) x) 47.066876606))

simplify2.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5004
2	1944
1	540
0	197

prune897.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize124.0ms

Local error

Found 4 expressions with local error:

15.2b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
15.2b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
15.2b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
22.9b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

rewrite541.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

9.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
13.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
18.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
500.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

series850.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
155.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
181.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
325.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

simplify2.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1293
1	424
0	171

prune918.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes449.0ms

Accuracy

98.1% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 23.4b

bsearch542.0ms

Steps

Iters	Range		Point
9	1.5718858767320834e+57	3.8209299420369884e+64	9.776865012149899e+58
10	-1.5590323174545235e+78	-1.4985113408838331e+65	-4.3070054425937903e+67

simplify26.0ms

Iterations

Iter	Nodes
done	60
1	60
0	41

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.8s

8006×

body

valid