Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	37
1	55	37
2	137	37
3	330	37
4	1017	37
5	3998	37
done	5001	37

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize23.0ms

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)
28.7b	(/ (* (- 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))

rewrite105.0ms

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:

18.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
20.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
10.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
54.0ms	(/ (* (- 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))

series376.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
43.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
65.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
233.0ms	(/ (* (- 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))

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: 2 (398.0ms)

Iter	Nodes	Cost
0	226	2502
1	661	2452
2	2645	2136
done	5001	2136

prune458.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)
0.3b	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
27.6b	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
110×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
74×	`add-cube-cbrt`
18×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
10×	`flip3-+` `flip-+`
8×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 184

Calls

4 calls:

20.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
11.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
49.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
50.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series460.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
66.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
231.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
123.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify1.3s

Counts

196 → 196

Iterations

Useful iterations: 2 (657.0ms)

Iter	Nodes	Cost
0	346	9875
1	964	9725
2	3326	9291
done	5000	9291

prune837.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 4.16438922228) (* x 4.16438922228))
0.3b	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z)))
5.7b	(/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154))
27.6b	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
104×	`add-sqr-sqrt` `*-un-lft-identity`
72×	`add-cube-cbrt`
43×	`pow1`
28×	`add-exp-log` `add-cbrt-cube`
21×	`associate-/r*`
17×	`pow-prod-down` `associate-/r/`
16×	`distribute-lft-out--` `difference-of-squares`
9×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`
8×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `div-exp` `associate-/l/`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`flip3--` `frac-2neg` `clear-num` `flip--`
2×	`pow-plus` `associate-*l/`
1×	`pow2` `div-sub` `swap-sqr` `associate-r` `associate-l` `*-commutative`

Counts

4 → 203

Calls

4 calls:

11.0ms	(* (* x 4.16438922228) (* x 4.16438922228))
76.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z)))
19.0ms	(/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154))
81.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z))

series677.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 4.16438922228) (* x 4.16438922228))
357.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z)))
107.0ms	(/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154))
189.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z))

simplify1.3s

Counts

215 → 215

Iterations

Useful iterations: 2 (566.0ms)

Iter	Nodes	Cost
0	366	13284
1	1042	13059
2	3871	12393
done	5001	12393

prune945.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

7.9b	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
17.5b	(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
17.6b	(/ (/ (- x 2.0) (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)) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z)))
27.5b	(/ (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z))

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

2328×	`times-frac`
1260×	`add-sqr-sqrt`
1259×	`*-un-lft-identity`
945×	`add-cube-cbrt`
741×	`sqrt-prod`
157×	`distribute-lft-out--` `difference-of-squares`
129×	`associate-/r/`
66×	`flip3-+` `flip-+`
65×	`div-inv`
56×	`sqrt-div`
47×	`associate-/l*`
33×	`associate-/r*`
20×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
5×	`pow1` `associate-/l/`
4×	`add-log-exp`
3×	`frac-2neg` `div-sub` `clear-num`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `flip--`

Counts

4 → 1061

Calls

4 calls:

21.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
26.0ms	(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
135.0ms	(/ (/ (- x 2.0) (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)) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z)))
80.0ms	(/ (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z))

series1.1s

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))
336.0ms	(/ (- x 2.0) (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
361.0ms	(/ (/ (- x 2.0) (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)) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z)))
307.0ms	(/ (sqrt (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)) (+ (* (+ (* (+ (/ (* (- (* (* x 4.16438922228) (* x 4.16438922228)) (* 78.6994924154 78.6994924154)) x) (- (* x 4.16438922228) 78.6994924154)) 137.519416416) x) y) x) z))

simplify2.7s

Counts

1073 → 1073

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	1220	135482
1	3723	128384
done	5000	127900

prune3.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

96.1% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 24.8b

bsearch248.0ms

Steps

Iters	Range		Point
10	9.05528890794319e+16	1.7496221259090696e+28	6.147426414162638e+26
7	-5.851033503887588e+26	-3.958357823763034e+24	-5.763344886008818e+26

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	44	71
1	63	61
done	63	61

end0.0ms

sample666.0ms

Algorithm

intervals

Results

500.0ms

8008×

body

valid