Details

sample81.0ms

Algorithm

intervals

Results

22.0ms	305×	body	80	valid
21.0ms	354×	body	80	nan

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	51	12
3	101	12
4	156	12
5	206	12
6	250	12
7	363	12
8	497	12
9	624	12
10	679	12
11	680	12
done	680	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

62.0ms	(+ (- 1.0 z) (log z))
28.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
113.0ms	(* y (+ (- 1.0 z) (log z)))

series516.0ms

Counts

3 → 9

Calls

3 calls:

290.0ms	(+ (- 1.0 z) (log z))
99.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
127.0ms	(* y (+ (- 1.0 z) (log z)))

simplify939.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	132	839
1	359	775
2	1203	704
done	5000	704

prune254.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite954.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt` `add-log-exp`
9×	`cbrt-prod`
8×	`distribute-lft-out`
7×	`associate-r`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
4×	`sum-log` `log-pow` `distribute-lft-out--`
3×	`associate-+l+` `associate-l`
2×	`flip3-+` `pow1/3` `diff-log` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

660.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
287.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

281.0ms	(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
500.0ms	(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
278.0ms	(cbrt z)
275.0ms	(cbrt z)

simplify873.0ms

Counts

87 → 87

Iterations

Useful iterations: done (869.0ms)

Iter	Nodes	Cost
0	130	1128
1	315	1093
2	1016	902
done	5000	799

prune410.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- 1.0 z)) (* 0.5 x))
0.0b	(* y (- 1.0 z))
0.1b	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* y (log z)))
0.3b	(* y (log z))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
11×	`add-log-exp`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l`
5×	`associate-+l+`
4×	`sub-neg` `sum-log`
2×	`+-commutative` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

18.0ms	(+ (* y (- 1.0 z)) (* 0.5 x))
32.0ms	(* y (- 1.0 z))
71.0ms	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* y (log z)))
9.0ms	(* y (log z))

series256.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* y (- 1.0 z)) (* 0.5 x))
50.0ms	(* y (- 1.0 z))
112.0ms	(+ (+ (* y (- 1.0 z)) (* 0.5 x)) (* y (log z)))
43.0ms	(* y (log z))

simplify1000.0ms

Counts

97 → 97

Iterations

Useful iterations: done (997.0ms)

Iter	Nodes	Cost
0	162	1113
1	407	1027
2	1325	955
done	5000	904

prune400.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite130.0ms

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×	`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 → 64

Calls

4 calls:

105.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
18.0ms	(* (log (cbrt z)) y)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series950.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
183.0ms	(* (log (cbrt z)) y)
277.0ms	(cbrt z)
273.0ms	(cbrt z)

simplify3.8s

Counts

76 → 76

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	111	697
1	279	673
2	906	562
3	4232	549
done	5000	549

prune338.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes161.0ms

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	15	19
1	21	19
done	21	19

end0.0ms

sample2.5s

Algorithm

intervals

Results

860.0ms	9182×	body	80	valid
714.0ms	9279×	body	80	nan