Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	293×	body	80	valid
8.0ms	295×	body	80	nan

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	52	11
3	100	11
4	185	11
5	270	11
6	351	11
7	498	11
8	760	11
9	995	11
10	1115	11
11	1121	11
done	1121	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

21.0ms	(+ (- 1.0 z) (log z))
0.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
41.0ms	(* y (+ (- 1.0 z) (log z)))

series348.0ms

Counts

3 → 9

Calls

3 calls:

186.0ms	(+ (- 1.0 z) (log z))
67.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
95.0ms	(* y (+ (- 1.0 z) (log z)))

simplify2.4s

Counts

85 → 85

Iterations

Useful iterations: 3 (945.0ms)

Iter	Nodes	Cost
0	136	897
1	327	826
2	949	696
3	4544	690
done	5000	690

prune233.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
12×	`log-prod`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `fma-udef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

12.0ms	(* y (- 1.0 z))
0.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
12.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series242.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (- 1.0 z))
67.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
98.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
41.0ms	(* y (log z))

simplify1.2s

Counts

138 → 138

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	218	1876
1	475	1431
2	1272	1226
done	5000	1150

prune344.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
0.2b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 84

Calls

4 calls:

30.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
5.0ms	(* y (log (cbrt z)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series859.0ms

Counts

4 → 12

Calls

4 calls:

397.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
101.0ms	(* y (log (cbrt z)))
182.0ms	(cbrt z)
179.0ms	(cbrt z)

simplify1.6s

Counts

96 → 96

Iterations

Useful iterations: 3 (560.0ms)

Iter	Nodes	Cost
0	137	890
1	311	834
2	875	733
3	3509	699
done	5000	699

prune352.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
0.2b	(* y (log (pow (/ 1 z) -1/3)))
0.6b	(cbrt z)
5.0b	(pow (/ 1 z) -1/3)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down`
37×	`add-sqr-sqrt`
34×	`log-prod`
33×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-exp-log`
10×	`pow1`
8×	`add-cbrt-cube`
7×	`associate-r`
6×	`associate-l`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `div-inv` `sqr-pow`
2×	`associate-r/` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `log-pow` `flip-+` `inv-pow`

Counts

4 → 126

Calls

4 calls:

33.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
11.0ms	(* y (log (pow (/ 1 z) -1/3)))
0.0ms	(cbrt z)
4.0ms	(pow (/ 1 z) -1/3)

series638.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
88.0ms	(* y (log (pow (/ 1 z) -1/3)))
185.0ms	(cbrt z)
175.0ms	(pow (/ 1 z) -1/3)

simplify802.0ms

Counts

138 → 138

Iterations

Useful iterations: done (798.0ms)

Iter	Nodes	Cost
0	264	1744
1	562	1538
2	1461	1251
done	5000	1244

prune423.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes153.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	20	23
1	27	23
done	27	23

end0.0ms

sample943.0ms

Algorithm

intervals

Results

324.0ms	9200×	body	80	valid
245.0ms	9417×	body	80	nan