Details

sample150.0ms

Algorithm

intervals

Results

69.0ms	706×	body	80	nan
19.0ms	258×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (140.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	126	11
4	223	10
5	297	10
6	414	10
7	504	10
8	587	10
9	594	10
done	594	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

306.0ms	(+ (- (- (* x (log y)) y) z) (log t))
90.0ms	(- (- (* x (log y)) y) z)
21.0ms	(- (* x (log y)) y)
27.0ms	(* x (log y))

series274.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (- (- (* x (log y)) y) z) (log t))
53.0ms	(- (- (* x (log y)) y) z)
108.0ms	(- (* x (log y)) y)
47.0ms	(* x (log y))

simplify4.6s

Counts

154 → 154

Iterations

Useful iterations: 3 (2.6s)

Iter	Nodes	Cost
0	220	1823
1	496	1557
2	1214	1375
3	4994	1268
done	5000	1268

prune558.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

20.0ms	(- (fma x (log y) (log t)) (+ z y))
0.0ms	(fma x (log y) (log t))

series140.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(- (fma x (log y) (log t)) (+ z y))
61.0ms	(fma x (log y) (log t))

simplify2.4s

Counts

51 → 51

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	98	978
1	221	802
2	686	670
3	3344	553
done	5000	553

prune238.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))

rewrite35.0ms

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:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
25.0ms	(* (cbrt y) (cbrt y))

series1.2s

Counts

4 → 12

Calls

4 calls:

353.0ms	(cbrt y)
254.0ms	(cbrt y)
269.0ms	(cbrt y)
320.0ms	(* (cbrt y) (cbrt y))

simplify5.2s

Counts

93 → 93

Iterations

Useful iterations: done (5.2s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	325	423
3	1112	405
4	4532	400
done	5000	390

prune505.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
5.1b	(pow (/ 1 y) -1/3)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `rec-exp` `pow-flip` `pow-plus` `1-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 102

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
23.0ms	(* (cbrt y) (cbrt y))
14.0ms	(pow (/ 1 y) -1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt y)
265.0ms	(cbrt y)
331.0ms	(* (cbrt y) (cbrt y))
294.0ms	(pow (/ 1 y) -1/3)

simplify2.0s

Counts

114 → 114

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	141	824
1	275	652
2	586	624
3	1698	602
done	5000	597

prune572.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes270.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	15	10
done	15	10

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.4s	24508×	body	80	nan
783.0ms	8025×	body	80	valid
1.0ms	1×	body	640	valid