Details

sample303.0ms

Algorithm

intervals

Results

31.0ms

577×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (62.0ms)

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: 10.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5))
0.7b	(/ 2.0 (* r r))
4.2b	(* (* (* w w) r) r)
12.8b	(* (* w w) r)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

51.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5))
3.0ms	(/ 2.0 (* r r))
23.0ms	(* (* (* w w) r) r)
9.0ms	(* (* w w) r)

series178.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5))
27.0ms	(/ 2.0 (* r r))
31.0ms	(* (* (* w w) r) r)
25.0ms	(* (* w w) r)

simplify1.2s

Counts

115 → 115

Iterations

Useful iterations: 2 (262.0ms)

Iter	Nodes	Cost
0	182	3393
1	437	2556
2	1683	2060
done	5001	2060

prune325.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r) 4.5))
0.2b	(* w (* w r))
0.7b	(/ 2.0 (* r r))
4.2b	(* (* w (* w r)) r)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

50.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (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))
17.0ms	(* (* w (* w r)) r)

series169.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w (* w r)) r) 4.5))
22.0ms	(* w (* w r))
24.0ms	(/ 2.0 (* r r))
32.0ms	(* (* w (* w r)) r)

simplify1.0s

Counts

114 → 114

Iterations

Useful iterations: 2 (217.0ms)

Iter	Nodes	Cost
0	183	3384
1	446	2549
2	1700	2049
done	5000	2049

prune338.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.1b	(- (+ 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))
0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.7b	(/ 2.0 (* r 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:

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

series192.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
79.0ms	(- (+ 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))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
25.0ms	(/ 2.0 (* r r))

simplify666.0ms

Counts

108 → 108

Iterations

Useful iterations: done (662.0ms)

Iter	Nodes	Cost
0	178	3903
1	399	2614
2	1279	2171
done	5001	2157

prune360.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

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:

0.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
186.0ms	(- (+ 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))
5.0ms	(/ (/ 2.0 r) r)
3.0ms	(* (fabs (* w r)) (fabs (* w r)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
91.0ms	(- (+ 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))
27.0ms	(/ (/ 2.0 r) r)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify970.0ms

Counts

157 → 157

Iterations

Useful iterations: 2 (343.0ms)

Iter	Nodes	Cost
0	275	4580
1	614	3245
2	1753	2776
done	5001	2776

prune492.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes233.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (4.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

893.0ms

17383×

body

valid