Details

sample70.0ms

Algorithm

intervals

Results

28.0ms	784×	body	80	nan
11.0ms	257×	body	80	valid

simplify542.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (34.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	122	11
4	223	10
5	289	10
6	400	10
7	566	10
8	622	10
9	626	10
done	626	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

9.0ms	(- (fma (log y) x (log t)) (+ y z))
0.0ms	(fma (log y) x (log t))

series134.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (fma (log y) x (log t)) (+ y z))
82.0ms	(fma (log y) x (log t))

simplify1.7s

Counts

51 → 51

Iterations

Useful iterations: 3 (470.0ms)

Iter	Nodes	Cost
0	100	978
1	217	802
2	668	670
3	3504	601
done	5000	601

prune135.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
0.6b	(cbrt (fma (log y) x (log t)))
0.6b	(cbrt (fma (log y) x (log t)))
0.6b	(cbrt (fma (log y) x (log t)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
0.0ms	(cbrt (fma (log y) x (log t)))
1.0ms	(cbrt (fma (log y) x (log t)))
1.0ms	(cbrt (fma (log y) x (log t)))

series736.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (cbrt (fma (log y) x (log t))) (cbrt (fma (log y) x (log t))))
151.0ms	(cbrt (fma (log y) x (log t)))
145.0ms	(cbrt (fma (log y) x (log t)))
149.0ms	(cbrt (fma (log y) x (log t)))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (337.0ms)

Iter	Nodes	Cost
0	244	3085
1	780	2910
2	3957	2712
done	5000	2712

prune433.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (log y) x (log t)))
0.6b	(cbrt (fma (log y) x (log t)))
0.6b	(cbrt (pow (cbrt (fma (log y) x (log t))) 3))
0.7b	(pow (cbrt (fma (log y) x (log t))) 3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `pow-pow` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 87

Calls

4 calls:

0.0ms	(cbrt (fma (log y) x (log t)))
0.0ms	(cbrt (fma (log y) x (log t)))
2.0ms	(cbrt (pow (cbrt (fma (log y) x (log t))) 3))
2.0ms	(pow (cbrt (fma (log y) x (log t))) 3)

series561.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (fma (log y) x (log t)))
151.0ms	(cbrt (fma (log y) x (log t)))
156.0ms	(cbrt (pow (cbrt (fma (log y) x (log t))) 3))
111.0ms	(pow (cbrt (fma (log y) x (log t))) 3)

simplify543.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	154	2279
1	399	1919
2	1603	1759
done	5001	1759

prune358.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) (+ y z))
0.3b	(* x (log y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

9.0ms	(- (* x (log y)) (+ y z))
4.0ms	(* x (log y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(- (* x (log y)) (+ y z))
43.0ms	(* x (log y))

simplify2.0s

Counts

60 → 60

Iterations

Useful iterations: 3 (602.0ms)

Iter	Nodes	Cost
0	120	632
1	257	552
2	796	507
3	3298	480
done	5001	480

prune120.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	16	27
2	17	27
done	17	27

end0.0ms

sample2.0s

Algorithm

intervals

Results

814.0ms	24230×	body	80	nan
346.0ms	8038×	body	80	valid