Details

sample298.0ms

Algorithm

intervals

Results

32.0ms

563×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	22	29
1	51	29
2	150	29
3	584	28
4	2643	28
done	5000	28

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.7b

localize21.0ms

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)
0.2b	(/ 2.0 (* r r))
2.7b	(* (* (* w w) r) r)
12.3b	(* (* w w) r)

rewrite47.0ms

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)
3.0ms	(/ 2.0 (* r r))
24.0ms	(* (* (* w w) r) r)
16.0ms	(* (* w w) r)

series200.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
26.0ms	(/ 2.0 (* r r))
38.0ms	(* (* (* w w) r) r)
28.0ms	(* (* w w) r)

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	128	982
1	305	962
2	1232	802
done	5000	802

prune306.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

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)
0.1b	(* w (* w r))
0.2b	(/ 2.0 (* r r))
2.7b	(* (* w (* w r)) r)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r) 4.5)
6.0ms	(* w (* w r))
3.0ms	(/ 2.0 (* r r))
18.0ms	(* (* w (* w r)) r)

series185.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r) 4.5)
18.0ms	(* w (* w r))
29.0ms	(/ 2.0 (* r r))
33.0ms	(* (* w (* w r)) r)

simplify1.1s

Counts

88 → 88

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	129	973
1	314	955
2	1234	791
done	5000	791

prune283.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite60.0ms

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:

51.0ms	(- (+ 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)
3.0ms	(/ 2.0 (* r r))
3.0ms	(* (fabs (* w r)) (fabs (* w r)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (+ 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))
79.0ms	(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))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify631.0ms

Counts

108 → 108

Iterations

Useful iterations: done (627.0ms)

Iter	Nodes	Cost
0	178	3903
1	395	2614
2	1280	2171
done	5001	2157

prune371.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite211.0ms

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:

196.0ms	(- (+ 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)
6.0ms	(/ (/ 2.0 r) r)
3.0ms	(* (fabs (* w r)) (fabs (* w r)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (+ 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)
26.0ms	(/ (/ 2.0 r) r)
9.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify870.0ms

Counts

157 → 157

Iterations

Useful iterations: 2 (327.0ms)

Iter	Nodes	Cost
0	275	4580
1	610	3245
2	1747	2776
done	5001	2776

prune503.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes169.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	28
1	28	28
done	28	28

end0.0ms

sample1.3s

Algorithm

intervals

Results

963.0ms

17132×

body

valid