Details

sample58.0ms

Algorithm

intervals

Results

15.0ms	299×	body	80	valid
10.0ms	295×	body	80	nan
0.0ms	1×	body	640	valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (947.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	88	15
3	276	15
4	776	15
5	2106	14
6	4827	14
done	5000	14

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series200.0ms

Counts

1 → 3

Calls

1 calls:

200.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	32	212
1	61	209
2	127	181
3	393	181
4	2650	181
done	5000	181

prune55.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
0.2b	(- z (* (log t) z))
0.3b	(* (log t) z)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`add-cube-cbrt`
6×	`pow1` `prod-diff`
5×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
4×	`fma-def` `associate-l`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
2×	`sub-neg` `distribute-rgt-out--` `diff-log` `sum-log`
1×	`+-commutative` `associate-+l-` `associate-+r+` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

23.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
6.0ms	(- z (* (log t) z))
8.0ms	(* (log t) z)

series318.0ms

Counts

3 → 9

Calls

3 calls:

206.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
49.0ms	(- z (* (log t) z))
63.0ms	(* (log t) z)

simplify2.4s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	122	894
1	285	837
2	840	769
3	3984	732
done	5000	732

prune255.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z (* (log t) z))) (cbrt (- z (* (log t) z))))
0.5b	(cbrt (- z (* (log t) z)))
0.5b	(cbrt (- z (* (log t) z)))
0.5b	(cbrt (- z (* (log t) z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
7×	`distribute-rgt-out--` `swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

30.0ms	(* (cbrt (- z (* (log t) z))) (cbrt (- z (* (log t) z))))
3.0ms	(cbrt (- z (* (log t) z)))
3.0ms	(cbrt (- z (* (log t) z)))
3.0ms	(cbrt (- z (* (log t) z)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (- z (* (log t) z))) (cbrt (- z (* (log t) z))))
113.0ms	(cbrt (- z (* (log t) z)))
113.0ms	(cbrt (- z (* (log t) z)))
118.0ms	(cbrt (- z (* (log t) z)))

simplify3.1s

Counts

113 → 113

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	130	1947
1	260	1799
2	667	1650
3	1710	1479
4	4984	1425
done	5000	1425

prune476.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- 1 (log t)))
0.5b	(cbrt (- z (* (log t) z)))
0.5b	(cbrt (- z (* (log t) z)))
0.5b	(cbrt z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
14×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--`
2×	`distribute-rgt-out--` `distribute-lft-out--` `difference-of-squares`
1×	`log-pow`

Counts

4 → 64

Calls

4 calls:

6.0ms	(cbrt (- 1 (log t)))
3.0ms	(cbrt (- z (* (log t) z)))
3.0ms	(cbrt (- z (* (log t) z)))
1.0ms	(cbrt z)

series850.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt (- 1 (log t)))
305.0ms	(cbrt (- z (* (log t) z)))
115.0ms	(cbrt (- z (* (log t) z)))
183.0ms	(cbrt z)

simplify3.3s

Counts

76 → 76

Iterations

Useful iterations: 4 (2.3s)

Iter	Nodes	Cost
0	124	782
1	249	739
2	562	675
3	1496	642
4	4021	624
done	5000	624

prune332.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes381.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	14
1	17	14
done	17	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

408.0ms	9201×	body	80	valid
326.0ms	9169×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid