Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	280×	body	80	valid
9.0ms	314×	body	80	nan

simplify921.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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	745	12
11	746	12
done	746	12

prune3.0ms

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

rewrite66.0ms

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:

14.0ms	(+ (- 1.0 z) (log z))
8.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
42.0ms	(* y (+ (- 1.0 z) (log z)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(+ (- 1.0 z) (log z))
57.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify418.0ms

Counts

70 → 70

Iterations

Useful iterations: done (417.0ms)

Iter	Nodes	Cost
0	132	839
1	351	775
2	1107	704
done	5000	703

prune147.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.0b	(+ (* x 0.5) (* (- 1.0 z) y))
0.1b	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* (log z) y))
0.2b	(* (log z) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

10.0ms	(* (- 1.0 z) y)
3.0ms	(+ (* x 0.5) (* (- 1.0 z) y))
11.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* (log z) y))
4.0ms	(* (log z) y)

series180.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- 1.0 z) y)
33.0ms	(+ (* x 0.5) (* (- 1.0 z) y))
60.0ms	(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* (log z) y))
60.0ms	(* (log z) y)

simplify519.0ms

Counts

77 → 77

Iterations

Useful iterations: done (517.0ms)

Iter	Nodes	Cost
0	135	902
1	358	792
2	1287	744
done	5001	732

prune181.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

80.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
9.0ms	(cbrt (+ (- 1.0 z) (log z)))
9.0ms	(cbrt (+ (- 1.0 z) (log z)))
11.0ms	(cbrt (+ (- 1.0 z) (log z)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
54.0ms	(cbrt (+ (- 1.0 z) (log z)))
52.0ms	(cbrt (+ (- 1.0 z) (log z)))
58.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify586.0ms

Counts

143 → 143

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	237	3448
1	611	3118
2	2038	2976
done	5000	2976

prune382.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (cbrt (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))))) (cbrt (+ (- 1.0 z) (log z))))
0.3b	(* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
9.3b	(cbrt (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity`
56×	`distribute-lft-out`
52×	`cbrt-div`
44×	`pow1`
40×	`flip3-+` `flip-+`
36×	`frac-times` `associate-*r/`
28×	`log-pow` `distribute-lft-out--`
27×	`swap-sqr`
18×	`associate-*l/`
17×	`associate-r`
15×	`cbrt-prod`
13×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cube-cbrt`
8×	`associate-l` `add-cbrt-cube`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 152

Calls

4 calls:

56.0ms	(* (* y (cbrt (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))))) (cbrt (+ (- 1.0 z) (log z))))
83.0ms	(* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z)))
9.0ms	(cbrt (+ (- 1.0 z) (log z)))
21.0ms	(cbrt (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (* y (cbrt (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))))) (cbrt (+ (- 1.0 z) (log z))))
31.0ms	(* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z)))
58.0ms	(cbrt (+ (- 1.0 z) (log z)))
68.0ms	(cbrt (* (+ (- 1.0 z) (log z)) (+ (- 1.0 z) (log z))))

simplify1.0s

Counts

164 → 164

Iterations

Useful iterations: 2 (364.0ms)

Iter	Nodes	Cost
0	375	4869
1	1042	4525
2	3637	4277
done	5000	4277

prune445.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes218.0ms

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

sample1.2s

Algorithm

intervals

Results

535.0ms	9157×	body	80	valid
261.0ms	9256×	body	80	nan