Details

sample118.0ms

Algorithm

intervals

Results

24.0ms	304×	body	80	valid
21.0ms	315×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.1s)

Iter	Nodes	Cost
0	15	16
1	30	16
2	88	15
3	280	15
4	1040	15
5	4213	14
done	5000	14

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(+ (fma b (- a 0.5) (fma (- 1 (log t)) z y)) x)
0.0b	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
0.1b	(fma (- 1 (log t)) z y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
8×	`pow1`
7×	`add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
3×	`log-prod` `fma-def` `fma-neg` `fma-udef` `associate--r+`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 74

Calls

4 calls:

18.0ms	(- 1 (log t))
12.0ms	(+ (fma b (- a 0.5) (fma (- 1 (log t)) z y)) x)
1.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
1.0ms	(fma (- 1 (log t)) z y)

series654.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(- 1 (log t))
235.0ms	(+ (fma b (- a 0.5) (fma (- 1 (log t)) z y)) x)
138.0ms	(fma b (- a 0.5) (fma (- 1 (log t)) z y))
121.0ms	(fma (- 1 (log t)) z y)

simplify1.0s

Counts

86 → 86

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	146	1193
1	335	982
2	1113	855
done	5000	806

prune404.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z y)
0.3b	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `prod-diff`
9×	`cbrt-prod`
8×	`pow1`
7×	`log-pow` `add-log-exp`
6×	`log-prod` `associate--r+`
5×	`pow1/3` `associate--l+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `diff-log`
2×	`sub-neg` `distribute-lft-out--`
1×	`associate--l-` `flip3--` `flip--` `fma-udef` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

1.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z y)
64.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

260.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z y)
462.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
268.0ms	(cbrt t)
294.0ms	(cbrt t)

simplify2.5s

Counts

96 → 96

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	143	1501
1	330	1322
2	1394	860
done	5000	606

prune565.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow t 2/3))
0.6b	(cbrt (cbrt t))
0.6b	(cbrt t)
5.9b	(pow t 2/3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 65

Calls

4 calls:

2.0ms	(cbrt (pow t 2/3))
1.0ms	(cbrt (cbrt t))
1.0ms	(cbrt t)
3.0ms	(pow t 2/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (pow t 2/3))
387.0ms	(cbrt (cbrt t))
292.0ms	(cbrt t)
258.0ms	(pow t 2/3)

simplify3.9s

Counts

77 → 77

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	101	460
1	207	415
2	708	385
3	3672	371
done	5000	361

prune705.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.0b	(* (cbrt 2/3) (cbrt 2/3))
2.9b	(pow t (* (cbrt 2/3) (cbrt 2/3)))
5.8b	(pow (pow t (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`cbrt-prod`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
12×	`pow1`
9×	`add-exp-log`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`pow-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `sqr-pow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt t)
25.0ms	(* (cbrt 2/3) (cbrt 2/3))
4.0ms	(pow t (* (cbrt 2/3) (cbrt 2/3)))
8.0ms	(pow (pow t (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

series1.4s

Counts

4 → 10

Calls

4 calls:

300.0ms	(cbrt t)
0.0ms	(* (cbrt 2/3) (cbrt 2/3))
354.0ms	(pow t (* (cbrt 2/3) (cbrt 2/3)))
740.0ms	(pow (pow t (* (cbrt 2/3) (cbrt 2/3))) (cbrt 2/3))

simplify2.2s

Counts

110 → 110

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	135	1078
1	371	891
2	2214	838
done	5001	799

prune966.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes542.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	29	33
done	29	33

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.3s	9192×	body	80	nan
1.1s	9151×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid