Details

sample59.0ms

Algorithm

intervals

Results

18.0ms	299×	body	80	valid
13.0ms	271×	body	80	nan

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	46	12
3	84	12
4	145	12
5	184	12
6	237	12
7	346	12
8	540	12
9	704	12
10	750	12
11	751	12
done	751	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
41.0ms	(* y (+ (- 1.0 z) (log z)))

series139.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.7s

Counts

45 → 45

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	102	621
1	287	566
2	857	512
3	4288	512
done	5001	512

prune113.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

12.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* y (log z))))
10.0ms	(* (- 1.0 z) y)
7.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
6.0ms	(* y (log z))

series218.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* y (log z))))
31.0ms	(* (- 1.0 z) y)
90.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
38.0ms	(* y (log z))

simplify693.0ms

Counts

89 → 89

Iterations

Useful iterations: done (690.0ms)

Iter	Nodes	Cost
0	165	1062
1	410	954
2	1329	822
done	5000	820

prune220.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`cbrt-prod` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

23.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
5.0ms	(* y (log (cbrt z)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series590.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
94.0ms	(* y (log (cbrt z)))
178.0ms	(cbrt z)
174.0ms	(cbrt z)

simplify1.7s

Counts

88 → 88

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	132	842
1	264	816
2	762	689
3	3147	678
done	5000	677

prune321.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- 1.0 (- z (* 2 (log (pow (/ 1 z) -1/3))))) y)
0.3b	(* y (log (cbrt z)))
0.6b	(cbrt z)
5.0b	(pow (/ 1 z) -1/3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-exp-log` `unpow-prod-down`
12×	`log-prod`
11×	`pow1`
9×	`cbrt-prod` `times-frac`
8×	`associate-r` `associate-l` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow`
2×	`pow1/3` `div-exp` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `div-inv` `distribute-lft-out--` `inv-pow` `difference-of-squares` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

21.0ms	(* (- 1.0 (- z (* 2 (log (pow (/ 1 z) -1/3))))) y)
5.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
4.0ms	(pow (/ 1 z) -1/3)

series612.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (- 1.0 (- z (* 2 (log (pow (/ 1 z) -1/3))))) y)
97.0ms	(* y (log (cbrt z)))
195.0ms	(cbrt z)
182.0ms	(pow (/ 1 z) -1/3)

simplify2.5s

Counts

109 → 109

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	210	1192
1	437	1087
2	1097	873
3	4432	821
done	5000	821

prune330.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes205.0ms

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	11	12
1	15	12
done	15	12

end0.0ms

sample954.0ms

Algorithm

intervals

Results

326.0ms	9189×	body	80	valid
252.0ms	9182×	body	80	nan