Details

sample161.0ms

Algorithm

intervals

Results

88.0ms

532×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	22	29
1	51	29
2	152	29
3	662	28
4	3555	28
done	5000	28

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.125 (- 3.0 (* 2.0 v)))
0.4b	(/ 2.0 (* r r))
6.9b	(* (* (* w w) r) r)
8.3b	(* (* w w) r)

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
20×	`pow1`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
9×	`associate-r`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `sub-neg` `associate-*r/` `div-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv`

Counts

4 → 99

Calls

4 calls:

36.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
16.0ms	(/ 2.0 (* r r))
113.0ms	(* (* (* w w) r) r)
43.0ms	(* (* w w) r)

series245.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
39.0ms	(/ 2.0 (* r r))
60.0ms	(* (* (* w w) r) r)
49.0ms	(* (* w w) r)

simplify2.0s

Counts

111 → 111

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	168	1039
1	435	1020
2	2759	868
done	5000	843

prune499.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `swap-sqr` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `unswap-sqr`
1×	`pow2` `flip3--` `frac-2neg` `pow-plus` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `flip--` `fma-udef` `div-inv`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
29.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
11.0ms	(/ 2.0 (* r r))
7.0ms	(* (fabs (* w r)) (fabs (* w r)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
99.0ms	(* 0.125 (- 3.0 (* 2.0 v)))
33.0ms	(/ 2.0 (* r r))
18.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify1.8s

Counts

104 → 104

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	178	1342
1	440	1191
2	2647	1045
done	5000	1017

prune610.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
0.0b	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.4b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite177.0ms

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:

141.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
1.0ms	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
16.0ms	(/ 2.0 (* r r))
14.0ms	(* (fabs (* w r)) (fabs (* w r)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5))
118.0ms	(fma (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
43.0ms	(/ 2.0 (* r r))
17.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify1.8s

Counts

108 → 108

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	177	3667
1	449	2460
2	2657	2045
done	5000	1990

prune603.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 3.0 (/ 2.0 (* r r)))
0.1b	(* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (pow (fabs (* w r)) 2))
0.4b	(/ 2.0 (* r r))
0.4b	(pow (fabs (* w r)) 2)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
23×	`add-exp-log`
22×	`times-frac`
21×	`associate-l`
20×	`add-cube-cbrt`
14×	`add-cbrt-cube`
8×	`unpow-prod-down` `associate-r` `unswap-sqr`
7×	`prod-exp`
6×	`add-log-exp`
5×	`pow1` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
3×	`cbrt-undiv` `pow-to-exp` `pow-unpow` `fma-def` `pow-exp` `cbrt-unprod` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`associate-/r/` `div-inv`
1×	`+-commutative` `flip3--` `pow-pow` `frac-2neg` `flip3-+` `associate-l/` `clear-num` `associate-/r` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 116

Calls

4 calls:

12.0ms	(+ 3.0 (/ 2.0 (* r r)))
86.0ms	(* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (pow (fabs (* w r)) 2))
16.0ms	(/ 2.0 (* r r))
6.0ms	(pow (fabs (* w r)) 2)

series242.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ 3.0 (/ 2.0 (* r r)))
120.0ms	(* (/ (- 0.375 (* 0.25 v)) (- 1.0 v)) (pow (fabs (* w r)) 2))
28.0ms	(/ 2.0 (* r r))
15.0ms	(pow (fabs (* w r)) 2)

simplify1.5s

Counts

128 → 128

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	214	1894
1	585	1789
2	2831	1610
done	5002	1609

prune665.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes340.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	26
1	27	26
done	27	26

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.3s

17176×

body

valid