Details

sample382.0ms

Algorithm

intervals

Results

51.0ms

564×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	22	29
1	51	29
2	152	29
3	641	28
4	2961	28
done	5000	28

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.5b	(/ 2.0 (* r r))
6.3b	(* (* (* w w) r) r)
10.7b	(* (* w w) r)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `pow-prod-down`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
8.0ms	(/ 2.0 (* r r))
55.0ms	(* (* (* w w) r) r)
25.0ms	(* (* w w) r)

series201.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
30.0ms	(/ 2.0 (* r r))
33.0ms	(* (* (* w w) r) r)
28.0ms	(* (* w w) r)

simplify2.0s

Counts

89 → 89

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	128	982
1	293	962
2	1009	802
3	3247	766
done	5000	758

prune282.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.1b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.5b	(/ 2.0 (* r r))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
12×	`prod-diff`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`times-frac` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef` `distribute-lft-out--`
1×	`pow2` `sub-neg` `flip3--` `frac-2neg` `pow-plus` `pow-prod-down` `associate--l+` `clear-num` `associate-/r` `sum-log` `pow-sqr` `-commutative` `pow-prod-up` `flip--` `div-inv` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

102.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
7.0ms	(* (fabs (* w r)) (fabs (* w r)))
8.0ms	(/ 2.0 (* r r))

series206.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
84.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
9.0ms	(* (fabs (* w r)) (fabs (* w r)))
28.0ms	(/ 2.0 (* r r))

simplify765.0ms

Counts

108 → 108

Iterations

Useful iterations: done (761.0ms)

Iter	Nodes	Cost
0	178	3903
1	395	2614
2	1156	2171
done	5000	1845

prune377.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3.0 (/ 2.0 (* r r))) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)) 4.5))
0.1b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
0.4b	(pow (fabs (* w r)) 2)
0.5b	(/ 2.0 (* r r))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
34×	`add-exp-log`
30×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
18×	`add-cbrt-cube`
16×	`add-log-exp`
13×	`prod-exp`
12×	`prod-diff`
11×	`associate-l`
8×	`times-frac` `div-exp` `associate-r`
7×	`unpow-prod-down`
5×	`pow1` `cbrt-unprod` `distribute-lft-out`
4×	`cbrt-undiv` `expm1-log1p-u` `pow-to-exp` `flip3-+` `fma-neg` `diff-log` `pow-exp` `sum-log` `frac-sub` `flip-+` `log1p-expm1-u` `unswap-sqr`
3×	`pow-unpow` `associate-/l*` `distribute-lft-out--` `unpow2` `sqr-pow`
2×	`flip3--` `associate-/r/` `flip--` `div-inv` `difference-of-squares`
1×	`sub-neg` `pow-pow` `frac-2neg` `associate-l/` `associate--l+` `clear-num` `associate-/r` `*-commutative` `associate--r+`

Counts

4 → 131

Calls

4 calls:

202.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)) 4.5))
49.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
2.0ms	(pow (fabs (* w r)) 2)
8.0ms	(/ 2.0 (* r r))

series204.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2)) 4.5))
70.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (pow (fabs (* w r)) 2))
10.0ms	(pow (fabs (* w r)) 2)
26.0ms	(/ 2.0 (* r r))

simplify1.4s

Counts

143 → 143

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	289	5041
1	778	3922
2	2867	3394
done	5001	3105

prune477.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.1b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.2b	(/ (/ 2.0 r) r)
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
71×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
13×	`associate-/l*`
12×	`prod-diff`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
5×	`div-inv` `distribute-lft-out`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`cbrt-undiv` `swap-sqr` `div-exp` `associate-r` `associate-l` `associate-/r*`
2×	`diff-log` `fma-udef` `distribute-lft-out--`
1×	`pow2` `sub-neg` `flip3--` `frac-2neg` `pow-plus` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `associate-/l/` `associate--r+` `difference-of-squares` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

223.0ms	(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
10.0ms	(/ (/ 2.0 r) r)
7.0ms	(* (fabs (* w r)) (fabs (* w r)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (+ 3.0 (/ (/ 2.0 r) r)) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
86.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
29.0ms	(/ (/ 2.0 r) r)
9.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify870.0ms

Counts

157 → 157

Iterations

Useful iterations: done (861.0ms)

Iter	Nodes	Cost
0	275	4580
1	602	3245
2	1563	2776
done	5000	2438

prune481.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes323.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	30
1	25	30
done	25	30

end0.0ms

sample1.4s

Algorithm

intervals

Results

896.0ms

16988×

body

valid