Details

sample46.0ms

Algorithm

intervals

Results

27.0ms	256×	body	80	valid
8.0ms	256×	pre	80	true

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2284
4	2284
3	711
2	147
1	32
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ 1/2 (- 4 (/ 1.0 (* i i)))) 1/2)
0.3b	(/ 1/2 (- 4 (/ 1.0 (* i i))))
0.3b	(/ 1.0 (* i i))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
47×	`times-frac`
41×	`*-un-lft-identity`
27×	`add-cube-cbrt`
24×	`associate-l`
15×	`add-cbrt-cube` `add-exp-log`
14×	`difference-of-squares`
7×	`associate-/r*` `distribute-lft-out--`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`associate-r` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `flip--` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 108

Calls

3 calls:

74.0ms	(* (/ 1/2 (- 4 (/ 1.0 (* i i)))) 1/2)
18.0ms	(/ 1/2 (- 4 (/ 1.0 (* i i))))
7.0ms	(/ 1.0 (* i i))

series244.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(* (/ 1/2 (- 4 (/ 1.0 (* i i)))) 1/2)
100.0ms	(/ 1/2 (- 4 (/ 1.0 (* i i))))
52.0ms	(/ 1.0 (* i i))

simplify1.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	2000
3	2000
2	1518
1	488
0	198

prune475.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1.0 (* i i))
0.3b	(/ 1.0 (* i i))
0.3b	(/ 1.0 (* i i))
23.7b	(* (/ 1/2 (- (pow 4 3) (pow (/ 1.0 (* i i)) 3))) (* (+ (* 4 4) (+ (* (/ 1.0 (* i i)) (/ 1.0 (* i i))) (* 4 (/ 1.0 (* i i))))) 1/2))

rewrite396.0ms

Algorithm

rewrite-expression-head

Rules

161×	`add-sqr-sqrt`
132×	`times-frac`
105×	`associate-l`
77×	`*-un-lft-identity`
72×	`difference-of-squares`
54×	`unpow-prod-down` `cube-prod`
47×	`add-cube-cbrt`
31×	`add-cbrt-cube` `add-exp-log`
30×	`sqr-pow`
15×	`distribute-lft-out--`
9×	`pow1` `prod-exp` `cbrt-unprod` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
5×	`associate-*l/`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`difference-cubes` `clear-num` `associate-/r*` `frac-2neg` `pow-prod-down`
2×	`frac-times` `flip3-+` `associate-*r/` `associate-/r/` `flip-+`
1×	`flip3--` `associate-r` `*-commutative` `flip--`

Counts

4 → 196

Calls

4 calls:

12.0ms	(/ 1.0 (* i i))
12.0ms	(/ 1.0 (* i i))
9.0ms	(/ 1.0 (* i i))
356.0ms	(* (/ 1/2 (- (pow 4 3) (pow (/ 1.0 (* i i)) 3))) (* (+ (* 4 4) (+ (* (/ 1.0 (* i i)) (/ 1.0 (* i i))) (* 4 (/ 1.0 (* i i))))) 1/2))

series266.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1.0 (* i i))
45.0ms	(/ 1.0 (* i i))
51.0ms	(/ 1.0 (* i i))
129.0ms	(* (/ 1/2 (- (pow 4 3) (pow (/ 1.0 (* i i)) 3))) (* (+ (* 4 4) (+ (* (/ 1.0 (* i i)) (/ 1.0 (* i i))) (* 4 (/ 1.0 (* i i))))) 1/2))

simplify960.0ms

Counts

208 → 208

Iterations

Iter	Nodes
done	2000
2	2000
1	790
0	266

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* i i) i)
0.1b	(* (* i i) i)
0.1b	(* (* (* i i) i) (* (* i i) i))
0.1b	(* (* i i) (* i i))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

695×	`pow1`
326×	`pow-prod-up`
221×	`pow-plus`
120×	`pow-prod-down`
112×	`pow-sqr`
70×	`pow2`
62×	`add-cbrt-cube` `add-exp-log`
41×	`prod-exp` `cbrt-unprod`
24×	`pow3`
8×	`add-sqr-sqrt` `associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`swap-sqr`

Counts

4 → 314

Calls

4 calls:

27.0ms	(* (* i i) i)
22.0ms	(* (* i i) i)
116.0ms	(* (* (* i i) i) (* (* i i) i))
22.0ms	(* (* i i) (* i i))

series227.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* i i) i)
61.0ms	(* (* i i) i)
67.0ms	(* (* (* i i) i) (* (* i i) i))
52.0ms	(* (* i i) (* i i))

simplify1.2s

Counts

326 → 326

Iterations

Iter	Nodes
done	2034
3	2034
2	925
1	346
0	110

prune321.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 26.2b

bsearch89.0ms

Steps

Iters	Range		Point
8	2.719758836558717e-25	1.679274816863934e-22	8.32761208931738e-24

simplify29.0ms

Iterations

Iter	Nodes
done	83
4	83
3	74
2	59
1	48
0	32

end0.0ms

sample1.2s

Algorithm

intervals

Results

878.0ms	8000×	body	80	valid
245.0ms	8000×	pre	80	true