Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	282×	body	80	valid
8.0ms	273×	body	80	nan

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	53	11
3	101	11
4	194	11
5	290	11
6	393	11
7	540	11
8	1017	11
9	1485	11
10	1615	11
11	1621	11
done	1621	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:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 66

Calls

2 calls:

17.0ms	(+ (- 1.0 z) (log z))
41.0ms	(* y (+ (- 1.0 z) (log z)))

series235.0ms

Counts

2 → 6

Calls

2 calls:

159.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify485.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	110	693
1	293	634
2	1180	529
done	5000	529

prune172.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
36×	`prod-diff`
35×	`add-cube-cbrt`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
12×	`log-prod`
9×	`associate-r`
8×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l`
5×	`add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `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-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 116

Calls

3 calls:

11.0ms	(* y (- 1.0 z))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series162.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* y (- 1.0 z))
92.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
37.0ms	(* y (log z))

simplify938.0ms

Counts

125 → 125

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	193	1648
1	447	1238
2	1749	1021
done	5000	963

prune300.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* y (+ (* 2 (log (cbrt z))) (- 1.0 z))) (* y (log (cbrt z))))
0.3b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

12.0ms	(+ (* y (+ (* 2 (log (cbrt z))) (- 1.0 z))) (* y (log (cbrt z))))
5.0ms	(* y (log (cbrt z)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series617.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ (* y (+ (* 2 (log (cbrt z))) (- 1.0 z))) (* y (log (cbrt z))))
91.0ms	(* y (log (cbrt z)))
169.0ms	(cbrt z)
174.0ms	(cbrt z)

simplify849.0ms

Counts

101 → 101

Iterations

Useful iterations: done (846.0ms)

Iter	Nodes	Cost
0	141	1148
1	326	1007
2	1411	906
done	5000	888

prune343.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* y (+ (* 2 (log (pow z 1/3))) (- 1.0 z))) (* y (log (cbrt z))))
0.3b	(* y (log (cbrt z)))
0.6b	(cbrt z)
4.9b	(pow z 1/3)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `associate-l`
2×	`associate-+l+` `pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `fma-def` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 96

Calls

4 calls:

12.0ms	(+ (* y (+ (* 2 (log (pow z 1/3))) (- 1.0 z))) (* y (log (cbrt z))))
5.0ms	(* y (log (cbrt z)))
0.0ms	(cbrt z)
1.0ms	(pow z 1/3)

series650.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(+ (* y (+ (* 2 (log (pow z 1/3))) (- 1.0 z))) (* y (log (cbrt z))))
88.0ms	(* y (log (cbrt z)))
170.0ms	(cbrt z)
166.0ms	(pow z 1/3)

simplify717.0ms

Counts

108 → 108

Iterations

Useful iterations: done (714.0ms)

Iter	Nodes	Cost
0	176	1250
1	418	1028
2	1738	938
done	5000	936

prune386.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes94.0ms

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	12	14
1	17	14
done	17	14

end0.0ms

sample1.0s

Algorithm

intervals

Results

345.0ms	9107×	body	80	valid
264.0ms	8940×	body	80	nan