Details

sample441.0ms

Algorithm

intervals

Results

148.0ms	138×	body	10240	exit
99.0ms	106×	body	1280	valid
55.0ms	87×	body	640	valid
32.0ms	48×	body	1280	nan
19.0ms	37×	body	640	nan
16.0ms	33×	body	320	valid
10.0ms	25×	body	320	nan
6.0ms	23×	body	160	valid
3.0ms	13×	body	160	nan
1.0ms	9×	body	80	valid
1.0ms	8×	body	80	nan

simplify756.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (170.0ms)

Iter	Nodes	Cost
0	55	94
1	133	94
2	442	92
3	2470	89
done	5001	89

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize54.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
1.0b	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0b	(sqrt (* PI 2.0))
1.4b	(/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (+ (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (+ (+ (+ 0.9999999999998099 (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ (- z 1.0) 3.0)))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))

rewrite25.3s

Algorithm

rewrite-expression-head

Rules

549×	`frac-add`
149×	`flip3-+` `flip-+`
138×	`associate-*r/`
137×	`associate-/l/`
74×	`*-un-lft-identity`
72×	`associate-+l-`
70×	`pow-sub`
68×	`frac-times`
27×	`distribute-lft-out`
22×	`times-frac`
20×	`add-exp-log`
15×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
11×	`associate-r`
10×	`prod-exp`
9×	`add-cube-cbrt`
7×	`pow1` `unpow-prod-down` `distribute-lft-out--`
6×	`add-log-exp`
5×	`div-exp`
4×	`associate-l` `associate-/r*` `cbrt-unprod`
3×	`cbrt-undiv` `unswap-sqr`
2×	`pow-to-exp` `sqrt-pow1` `exp-sum` `pow-exp` `sqrt-prod` `sqr-pow`
1×	`unpow-prod-up` `+-commutative` `frac-2neg` `pow1/2` `exp-diff` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `associate-/r/` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 229

Calls

4 calls:

105.0ms	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
305.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0ms	(sqrt (* PI 2.0))
24.9s	(/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (+ (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (+ (+ (+ 0.9999999999998099 (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ (- z 1.0) 3.0)))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))

series1.1s

Counts

4 → 10

Calls

4 calls:

72.0ms	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
451.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))
594.0ms	(/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (+ (+ (+ (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (+ (+ (+ 0.9999999999998099 (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 676.5203681218851 z)) (/ 771.3234287776531 (+ (- z 1.0) 3.0)))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))

simplify590.0ms

Counts

239 → 239

Iterations

Useful iterations: done (565.0ms)

Iter	Nodes	Cost
0	682	20139
1	2416	18698
done	5001	18679

prune3.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize133.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
1.0b	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
1.0b	(* (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
1.0b	(sqrt (* PI 2.0))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

544×	`*-un-lft-identity`
300×	`times-frac`
184×	`add-sqr-sqrt`
148×	`add-cube-cbrt`
144×	`distribute-lft-out`
117×	`swap-sqr`
72×	`distribute-lft-out--`
63×	`associate-r` `associate-l`
40×	`add-exp-log` `add-cbrt-cube`
28×	`pow1`
24×	`associate-/r/`
12×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
4×	`pow-prod-down` `add-log-exp`
3×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
2×	`sqrt-pow1`
1×	`pow1/2` `sqrt-prod`

Counts

4 → 338

Calls

4 calls:

84.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
85.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
85.0ms	(* (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
2.0ms	(sqrt (* PI 2.0))

series116.0ms

Counts

4 → 10

Calls

4 calls:

39.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
35.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
42.0ms	(* (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
0.0ms	(sqrt (* PI 2.0))

simplify1.5s

Counts

348 → 348

Iterations

Useful iterations: 2 (531.0ms)

Iter	Nodes	Cost
0	376	8317
1	1209	7277
2	4771	6487
done	5000	6487

prune4.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize146.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
1.0b	(* (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
1.0b	(pow (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) 3)
1.0b	(sqrt (* PI 2.0))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

413×	`*-un-lft-identity`
230×	`times-frac`
143×	`add-sqr-sqrt`
119×	`add-cube-cbrt`
108×	`distribute-lft-out`
78×	`swap-sqr`
54×	`distribute-lft-out--`
42×	`associate-r` `associate-l`
31×	`add-exp-log` `add-cbrt-cube`
22×	`pow1`
21×	`unpow-prod-down` `cube-prod`
20×	`associate-/r/`
10×	`flip3-+` `flip-+` `div-inv`
9×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down`
2×	`pow2` `frac-times` `sqrt-pow1` `pow-plus` `associate-r/` `associate-l/` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `pow1/2` `unpow3` `sqrt-prod` `sqr-pow`

Counts

4 → 291

Calls

4 calls:

84.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
84.0ms	(* (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
23.0ms	(pow (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) 3)
2.0ms	(sqrt (* PI 2.0))

series130.0ms

Counts

4 → 10

Calls

4 calls:

34.0ms	(* (/ -176.6150291621406 (+ (- z 1.0) 4.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0)))
39.0ms	(* (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
57.0ms	(pow (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) 3)
0.0ms	(sqrt (* PI 2.0))

simplify452.0ms

Counts

301 → 301

Iterations

Useful iterations: done (437.0ms)

Iter	Nodes	Cost
0	446	6934
1	1465	5917
done	5000	5831

prune4.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize150.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
1.0b	(pow (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) 3)
1.0b	(sqrt (* PI 2.0))
61.8b	(log (exp (pow (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) 3)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

283×	`*-un-lft-identity`
160×	`times-frac`
103×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
72×	`distribute-lft-out`
49×	`log-pow`
48×	`exp-prod`
42×	`unpow-prod-down` `cube-prod`
39×	`swap-sqr`
36×	`distribute-lft-out--`
21×	`associate-r` `associate-l`
19×	`add-exp-log` `add-cbrt-cube`
16×	`pow1` `associate-/r/`
8×	`flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `log-prod`
2×	`cube-mult` `sqrt-pow1` `unpow3` `pow-prod-down` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `pow2` `frac-times` `pow-to-exp` `pow-pow` `pow-plus` `pow1/2` `associate-r/` `rem-log-exp` `associate-l/` `sqrt-prod` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 242

Calls

4 calls:

84.0ms	(* (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
21.0ms	(pow (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) 3)
1.0ms	(sqrt (* PI 2.0))
91.0ms	(log (exp (pow (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) 3)))

series143.0ms

Counts

4 → 10

Calls

4 calls:

34.0ms	(* (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
53.0ms	(pow (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) 3)
0.0ms	(sqrt (* PI 2.0))
57.0ms	(log (exp (pow (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)) 3)))

simplify1.6s

Counts

252 → 252

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	287	4633
1	780	3830
2	3702	3201
done	5001	3175

prune3.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes312.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	103	593
1	155	593
done	155	593

end0.0ms

sample12.0s

Algorithm

intervals

Results

4.2s	3935×	body	10240	exit
3.0s	3325×	body	1280	valid
1.6s	2515×	body	640	valid
1.1s	1518×	body	1280	nan
642.0ms	1211×	body	640	nan
555.0ms	1239×	body	320	valid
240.0ms	614×	body	320	nan
191.0ms	652×	body	160	valid
75.0ms	297×	body	160	nan
52.0ms	351×	body	80	valid
37.0ms	305×	body	80	nan