Details

sample472.0ms

Algorithm

intervals

Results

81.0ms

541×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (180.0ms)

Iter	Nodes	Cost
0	22	568
1	51	568
2	152	528
3	664	503
4	3561	503
done	5000	503

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize68.0ms

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)) (* (* w r) (* w r)) 4.5))
0.3b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5)
0.3b	(* (* w r) (* w r))
0.6b	(/ 2.0 (* r r))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

148.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5))
1.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5)
42.0ms	(* (* w r) (* w r))
16.0ms	(/ 2.0 (* r r))

series386.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(- (+ 3.0 (/ 2.0 (* r r))) (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5))
157.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)) 4.5)
51.0ms	(* (* w r) (* w r))
50.0ms	(/ 2.0 (* r r))

simplify2.0s

Counts

117 → 117

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	167	47806
1	424	40949
2	2365	37984
done	5002	37884

prune733.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

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)) (* (* w r) (* w r)))) 4.5)
0.3b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))
0.3b	(* (* w r) (* w r))
0.6b	(/ 2.0 (* r r))

rewrite772.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 156

Calls

4 calls:

603.0ms	(- (- (+ 3.0 (/ 2.0 (* r r))) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))) 4.5)
127.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))
27.0ms	(* (* w r) (* w r))
7.0ms	(/ 2.0 (* r r))

series363.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(- (- (+ 3.0 (/ 2.0 (* r r))) (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))) 4.5)
110.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* w r) (* w r)))
59.0ms	(* (* w r) (* w r))
34.0ms	(/ 2.0 (* r r))

simplify3.7s

Counts

168 → 168

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	274	68737
1	808	58058
2	4585	52584
done	5000	52409

prune856.0ms

Pruning

14 alts after pruning (14 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))) (* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* w r)) (* w r))) 4.5)
0.2b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* w r))
0.2b	(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* w r)) (* w r))
0.6b	(/ 2.0 (* r r))

rewrite812.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 145

Calls

4 calls:

547.0ms	(- (- (+ 3.0 (/ 2.0 (* r r))) (* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* w r)) (* w r))) 4.5)
57.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* w r))
184.0ms	(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* w r)) (* w r))
13.0ms	(/ 2.0 (* r r))

series464.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(- (- (+ 3.0 (/ 2.0 (* r r))) (* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* w r)) (* w r))) 4.5)
101.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* w r))
97.0ms	(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* w r)) (* w r))
52.0ms	(/ 2.0 (* r r))

simplify1.5s

Counts

157 → 157

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	291	73528
1	878	63688
done	5000	58774

prune989.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

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)) w) r) (* w r))) 4.5)
0.1b	(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) w) r)
0.2b	(* (* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) w) r) (* w r))
0.6b	(/ 2.0 (* r r))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

68×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
30×	`pow1`
19×	`*-un-lft-identity`
18×	`pow-prod-down`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`prod-diff` `add-log-exp`
8×	`cbrt-undiv` `div-exp` `associate--l+`
5×	`diff-log` `associate-*l/`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`times-frac` `fma-neg` `associate-/l*`
2×	`sub-neg` `associate-l` `*-commutative`
1×	`associate--l-` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3--` `div-inv` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

569.0ms	(- (- (+ 3.0 (/ 2.0 (* r r))) (* (* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) w) r) (* w r))) 4.5)
147.0ms	(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) w) r)
505.0ms	(* (* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) w) r) (* w r))
10.0ms	(/ 2.0 (* r r))

series452.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(- (- (+ 3.0 (/ 2.0 (* r r))) (* (* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) w) r) (* w r))) 4.5)
89.0ms	(* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) w) r)
139.0ms	(* (* (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) w) r) (* w r))
31.0ms	(/ 2.0 (* r r))

simplify3.9s

Counts

137 → 137

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	269	66167
1	785	57641
2	4799	50943
done	5000	50543

prune637.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes441.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	22	568
1	29	568
done	29	568

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.8s

17178×

body

valid