Details

sample145.0ms

Algorithm

intervals

Results

59.0ms	925×	body	80	nan
18.0ms	284×	body	80	valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	13	20
1	27	20
2	76	19
3	206	19
4	503	19
5	992	19
6	2080	19
7	3449	19
done	5000	19

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
78×	`prod-diff`
67×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`associate-r/` `associate-r*`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `associate-/l*`
2×	`sub-neg` `sqrt-pow1` `pow-prod-down` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 167

Calls

4 calls:

59.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
0.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
18.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
49.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series686.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0) (- a (/ 1.0 3.0)))
221.0ms	(fma (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand 1.0)
154.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
103.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify2.5s

Counts

179 → 179

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	453	7178
1	946	6698
2	2958	5557
done	5002	5038

prune553.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma (log1p (expm1 (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b	(fma (log1p (expm1 (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) rand 1.0)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.6b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
78×	`prod-diff`
67×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`associate-r/` `associate-r*`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r*` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `associate-l` `flip--` `associate-/l*`
2×	`sub-neg` `sqrt-pow1` `pow-prod-down` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 167

Calls

4 calls:

68.0ms	(* (fma (log1p (expm1 (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) rand 1.0) (- a (/ 1.0 3.0)))
0.0ms	(fma (log1p (expm1 (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) rand 1.0)
31.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
59.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series1.5s

Counts

4 → 12

Calls

4 calls:

480.0ms	(* (fma (log1p (expm1 (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) rand 1.0) (- a (/ 1.0 3.0)))
722.0ms	(fma (log1p (expm1 (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))) rand 1.0)
216.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
121.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify2.5s

Counts

179 → 179

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	465	7618
1	979	6722
2	3073	5575
done	5000	5055

prune568.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma (log1p (expm1 (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b	(fma (log1p (expm1 (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))) rand 1.0)
0.3b	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
0.3b	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
80×	`add-cube-cbrt`
78×	`prod-diff`
59×	`times-frac`
41×	`distribute-rgt-in` `distribute-lft-in`
15×	`associate-r`
13×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`pow1`
9×	`associate-l`
7×	`div-inv`
6×	`associate-*r/`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `sqrt-div` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `sqrt-pow1` `pow1/2` `div-exp` `associate-/r/` `*-commutative` `distribute-lft-out--`
1×	`frac-2neg` `sqrt-unprod` `clear-num` `associate-/r*` `fma-udef`

Counts

4 → 179

Calls

4 calls:

83.0ms	(* (fma (log1p (expm1 (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))) rand 1.0) (- a (/ 1.0 3.0)))
1.0ms	(fma (log1p (expm1 (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))) rand 1.0)
64.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
21.0ms	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

552.0ms	(* (fma (log1p (expm1 (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))) rand 1.0) (- a (/ 1.0 3.0)))
794.0ms	(fma (log1p (expm1 (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))) rand 1.0)
104.0ms	(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
233.0ms	(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))

simplify2.3s

Counts

191 → 191

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	469	7953
1	1010	7022
2	3480	5857
done	5001	5504

prune585.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))
0.0b	(* (fma (log1p (expm1 (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))) rand 1.0) (- a (/ 1.0 3.0)))
0.1b	(fma (log1p (expm1 (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))) rand 1.0)
0.4b	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

456×	`times-frac`
372×	`add-sqr-sqrt`
298×	`*-un-lft-identity`
250×	`add-cube-cbrt`
228×	`sqrt-prod`
78×	`prod-diff`
48×	`difference-of-squares`
41×	`distribute-rgt-in` `distribute-lft-in`
24×	`distribute-lft-out--`
22×	`associate-/l*`
17×	`div-inv`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
6×	`pow1` `associate-r`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l`
2×	`sub-neg` `flip3--` `sqrt-div` `associate-*r/` `associate-/r/` `flip--`
1×	`expm1-log1p` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `associate-/l/` `expm1-udef` `unswap-sqr`

Counts

4 → 376

Calls

4 calls:

1.0ms	(expm1 (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))
80.0ms	(* (fma (log1p (expm1 (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))) rand 1.0) (- a (/ 1.0 3.0)))
0.0ms	(fma (log1p (expm1 (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))) rand 1.0)
41.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series2.2s

Counts

4 → 12

Calls

4 calls:

565.0ms	(expm1 (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))
577.0ms	(* (fma (log1p (expm1 (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))) rand 1.0) (- a (/ 1.0 3.0)))
762.0ms	(fma (log1p (expm1 (/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))) rand 1.0)
282.0ms	(/ (/ 1.0 (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify2.5s

Counts

388 → 388

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	752	13705
1	1695	12237
2	4864	11043
done	5000	11043

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	21
1	16	21
done	16	21

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s	27480×	body	80	nan
484.0ms	9121×	body	80	valid