Details

sample35.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	valid
7.0ms	276×	body	80	nan

simplify24.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (118.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	203	12
4	476	11
5	1030	11
6	1721	11
7	2404	11
8	2731	11
9	2785	11
10	3029	11
11	3277	11
12	3518	11
13	3822	11
14	4176	11
15	4222	11
16	4242	11
done	4242	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`distribute-lft-out`
4×	`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 → 46

Calls

2 calls:

0.0ms	(fma (log y) (+ y 0.5) z)
42.0ms	(- (+ y x) (fma (log y) (+ y 0.5) z))

series114.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(fma (log y) (+ y 0.5) z)
71.0ms	(- (+ y x) (fma (log y) (+ y 0.5) z))

simplify2.7s

Counts

52 → 52

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	103	1312
1	242	939
2	781	849
3	4610	733
done	5000	733

prune128.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
0.5b	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
0.5b	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
0.5b	(* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
58×	`cbrt-prod`
37×	`add-sqr-sqrt`
22×	`distribute-lft-out--`
18×	`cbrt-div`
15×	`add-cube-cbrt` `swap-sqr`
11×	`pow1` `distribute-lft-out`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--`
7×	`difference-of-squares`
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 → 119

Calls

4 calls:

19.0ms	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
16.0ms	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
16.0ms	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
141.0ms	(* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))

series11.1s

Counts

4 → 12

Calls

4 calls:

924.0ms	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
904.0ms	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
952.0ms	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
8.3s	(* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))

simplify2.2s

Counts

131 → 131

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	334	5843
1	1074	5484
2	4939	5137
done	5000	5059

prune522.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
0.5b	(* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
0.6b	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
0.6b	(cbrt (* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
62×	`cbrt-prod`
38×	`cbrt-div`
35×	`add-sqr-sqrt`
20×	`distribute-lft-out--`
15×	`add-cube-cbrt` `swap-sqr`
14×	`flip3--` `flip--`
11×	`pow1`
10×	`distribute-lft-out`
9×	`pow1/3` `associate-r` `associate-l`
8×	`frac-times`
6×	`add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `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 → 123

Calls

4 calls:

16.0ms	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
138.0ms	(* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
17.0ms	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
45.0ms	(cbrt (* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))))

series20.8s

Counts

4 → 12

Calls

4 calls:

1.1s	(cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))
8.4s	(* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
1.2s	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
10.1s	(cbrt (* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))))

simplify868.0ms

Counts

135 → 135

Iterations

Useful iterations: done (860.0ms)

Iter	Nodes	Cost
0	577	7608
1	1888	7150
done	5001	6706

prune669.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
0.6b	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
0.6b	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
0.6b	(cbrt (* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

46×	`cbrt-prod`
32×	`cbrt-div`
25×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`flip3--` `flip--`
6×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-times` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out` `difference-of-squares`
2×	`associate-r/` `associate-l/`

Counts

4 → 82

Calls

4 calls:

17.0ms	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
17.0ms	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
20.0ms	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
41.0ms	(cbrt (* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))))

series12.7s

Counts

4 → 12

Calls

4 calls:

1.1s	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
1.0s	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
1.0s	(cbrt (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))))
9.5s	(cbrt (* (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z))) (cbrt (- (+ y x) (fma (log y) (+ y 0.5) z)))))

simplify1.8s

Counts

94 → 94

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	350	5011
1	1076	4770
2	4702	4470
done	5000	4386

prune613.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.1b 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	9	11
1	11	11
done	11	11

end0.0ms

sample919.0ms

Algorithm

intervals

Results

270.0ms	8031×	body	80	valid
200.0ms	7936×	body	80	nan
0.0ms	1×	body	160	valid