Details

sample49.0ms

Algorithm

intervals

Results

13.0ms	299×	body	80	valid
11.0ms	305×	body	80	nan

simplify1.9s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite200.0ms

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:

21.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
58.0ms	(+ (- 1.0 z) (log z))
119.0ms	(* y (+ (- 1.0 z) (log z)))

series509.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
262.0ms	(+ (- 1.0 z) (log z))
127.0ms	(* y (+ (- 1.0 z) (log z)))

simplify949.0ms

Counts

70 → 70

Iterations

Useful iterations: 2 (257.0ms)

Iter	Nodes	Cost
0	132	839
1	359	775
2	1200	704
done	5001	704

prune293.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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)))

rewrite325.0ms

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:

218.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
19.0ms	(cbrt (+ (- 1.0 z) (log z)))
39.0ms	(cbrt (+ (- 1.0 z) (log z)))
34.0ms	(cbrt (+ (- 1.0 z) (log z)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
82.0ms	(cbrt (+ (- 1.0 z) (log z)))
109.0ms	(cbrt (+ (- 1.0 z) (log z)))
86.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify1.3s

Counts

143 → 143

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	237	3448
1	611	3118
2	1898	2976
done	5000	2587

prune642.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 z) (- 1.0 z))
0.6b	(* (log z) (log z))
4.7b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
13.2b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
30×	`pow1`
18×	`add-cube-cbrt` `distribute-lft-out--`
15×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
13×	`swap-sqr` `associate-r`
12×	`associate-l`
10×	`log-pow`
9×	`flip3--` `flip--`
8×	`sub-neg` `times-frac` `associate--l+` `associate-/r*`
7×	`difference-of-squares`
6×	`log-prod` `associate-*r/`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `pow2` `pow-plus` `div-exp` `associate-*l/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 149

Calls

4 calls:

50.0ms	(* (- 1.0 z) (- 1.0 z))
11.0ms	(* (log z) (log z))
103.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
156.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series720.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (- 1.0 z) (- 1.0 z))
241.0ms	(* (log z) (log z))
113.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
340.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify1.9s

Counts

161 → 161

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	277	2779
1	716	2461
2	2727	2185
done	5000	2099

prune637.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))
0.3b	(* (* y (+ (- 1.0 z) (log z))) (- (- 1.0 z) (log z)))
13.2b	(/ (* (* y (+ (- 1.0 z) (log z))) (- (- 1.0 z) (log z))) (- (- 1.0 z) (log z)))

rewrite654.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
22×	`distribute-lft-out--`
21×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt` `associate-*r/`
15×	`associate-r`
10×	`add-cube-cbrt` `log-pow`
8×	`frac-times` `flip3-+` `times-frac` `associate-/r*` `flip-+` `associate-/l/` `distribute-lft-out`
7×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `add-log-exp`
5×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `associate-*l/` `associate--l+`
3×	`cbrt-undiv` `associate-+r+` `log-prod` `div-exp` `difference-of-squares`
2×	`associate-+l+` `sum-log` `associate-/r/` `*-commutative`
1×	`+-commutative` `associate-+l-` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

40.0ms	(+ (- 1.0 z) (log z))
126.0ms	(* y (+ (- 1.0 z) (log z)))
226.0ms	(* (* y (+ (- 1.0 z) (log z))) (- (- 1.0 z) (log z)))
254.0ms	(/ (* (* y (+ (- 1.0 z) (log z))) (- (- 1.0 z) (log z))) (- (- 1.0 z) (log z)))

series678.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(+ (- 1.0 z) (log z))
150.0ms	(* y (+ (- 1.0 z) (log z)))
139.0ms	(* (* y (+ (- 1.0 z) (log z))) (- (- 1.0 z) (log z)))
104.0ms	(/ (* (* y (+ (- 1.0 z) (log z))) (- (- 1.0 z) (log z))) (- (- 1.0 z) (log z)))

simplify1.8s

Counts

142 → 142

Iterations

Useful iterations: 2 (647.0ms)

Iter	Nodes	Cost
0	210	2812
1	625	2391
2	3141	2024
done	5000	2024

prune505.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes237.0ms

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	11	12
1	15	12
done	15	12

end0.0ms

sample2.4s

Algorithm

intervals

Results

918.0ms	9159×	body	80	nan
680.0ms	9073×	body	80	valid