Details

sample35.0ms

Algorithm

intervals

Results

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

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	52	11
3	100	11
4	183	11
5	268	11
6	349	11
7	496	11
8	739	11
9	961	11
10	1079	11
11	1085	11
done	1085	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite67.0ms

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:

18.0ms	(+ (- 1.0 z) (log z))
0.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
45.0ms	(* y (+ (- 1.0 z) (log z)))

series538.0ms

Counts

3 → 9

Calls

3 calls:

396.0ms	(+ (- 1.0 z) (log z))
59.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
83.0ms	(* y (+ (- 1.0 z) (log z)))

simplify2.0s

Counts

85 → 85

Iterations

Useful iterations: 3 (809.0ms)

Iter	Nodes	Cost
0	136	897
1	327	826
2	949	696
3	4525	690
done	5000	690

prune240.0ms

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))

rewrite35.0ms

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))))
13.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series247.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (- 1.0 z))
66.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
102.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
44.0ms	(* y (log z))

simplify1.2s

Counts

138 → 138

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	218	1876
1	469	1431
2	1261	1226
done	5000	1150

prune357.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`cbrt-prod` `associate-r`
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×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 72

Calls

4 calls:

31.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
4.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series692.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
131.0ms	(* (log (cbrt z)) y)
185.0ms	(cbrt z)
185.0ms	(cbrt z)

simplify2.1s

Counts

84 → 84

Iterations

Useful iterations: 3 (910.0ms)

Iter	Nodes	Cost
0	117	745
1	293	693
2	923	606
3	3952	572
done	5000	572

prune351.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

31.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
8.0ms	(* (log (pow (/ 1 z) -1/3)) y)
1.0ms	(cbrt z)
4.0ms	(pow (/ 1 z) -1/3)

series758.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
127.0ms	(* (log (pow (/ 1 z) -1/3)) y)
212.0ms	(cbrt z)
204.0ms	(pow (/ 1 z) -1/3)

simplify781.0ms

Counts

104 → 104

Iterations

Useful iterations: done (777.0ms)

Iter	Nodes	Cost
0	193	1087
1	458	951
2	1263	781
done	5000	780

prune416.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample991.0ms

Algorithm

intervals

Results

330.0ms	9200×	body	80	valid
264.0ms	9417×	body	80	nan