Details

sample295.0ms

Algorithm

intervals

Results

30.0ms

568×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (57.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.7b	(/ 2.0 (* r r))
4.5b	(* (* (* w w) r) r)
12.4b	(* (* w w) r)

rewrite48.0ms

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))
25.0ms	(* (* (* w w) r) r)
16.0ms	(* (* w w) r)

series185.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
23.0ms	(/ 2.0 (* r r))
35.0ms	(* (* (* w w) r) r)
25.0ms	(* (* w w) r)

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: 2 (180.0ms)

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

prune283.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* w (* w r))
0.2b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r) 4.5)
0.7b	(/ 2.0 (* r r))
4.5b	(* (* 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:

6.0ms	(* w (* w r))
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))
18.0ms	(* (* w (* w r)) r)

series171.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* w (* w r))
96.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r) 4.5)
23.0ms	(/ 2.0 (* r r))
34.0ms	(* (* w (* w r)) r)

simplify935.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	129	973
1	314	955
2	1237	791
done	5000	791

prune278.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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))
0.2b	(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)))
0.7b	(/ 2.0 (* r r))

rewrite61.0ms

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:

52.0ms	(- (+ 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	(* (fabs (* w r)) (fabs (* w r)))
3.0ms	(/ 2.0 (* r r))

series188.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (+ 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))
77.0ms	(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)))
25.0ms	(/ 2.0 (* r r))

simplify608.0ms

Counts

108 → 108

Iterations

Useful iterations: done (604.0ms)

Iter	Nodes	Cost
0	178	3903
1	395	2614
2	1276	2171
done	5000	2157

prune334.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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))
0.2b	(/ (/ 2.0 r) r)
0.2b	(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)))

rewrite209.0ms

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:

195.0ms	(- (+ 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))
6.0ms	(/ (/ 2.0 r) r)
0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
3.0ms	(* (fabs (* w r)) (fabs (* w r)))

series192.0ms

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))
24.0ms	(/ (/ 2.0 r) r)
79.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify836.0ms

Counts

157 → 157

Iterations

Useful iterations: 2 (313.0ms)

Iter	Nodes	Cost
0	275	4580
1	610	3245
2	1748	2776
done	5000	2776

prune467.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

regimes219.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	44
1	30	44
done	30	44

end0.0ms

sample1.2s

Algorithm

intervals

Results

858.0ms

16998×

body

valid