Details

sample37.0ms

Algorithm

intervals

Results

10.0ms	285×	body	80	valid
7.0ms	258×	body	80	nan

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	118	11
4	204	11
5	301	11
6	380	11
7	531	11
8	800	11
9	1034	11
10	1180	11
11	1186	11
done	1186	11

prune5.0ms

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))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

32.0ms	(+ (- 1.0 z) (log z))
22.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
79.0ms	(* y (+ (- 1.0 z) (log z)))

series308.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(+ (- 1.0 z) (log z))
65.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify744.0ms

Counts

91 → 91

Iterations

Useful iterations: done (741.0ms)

Iter	Nodes	Cost
0	149	1029
1	410	915
2	1357	797
done	5000	796

prune216.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-l`
3×	`expm1-log1p-u` `fma-def` `associate-r` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

0.0ms	(fma (- 1.0 z) y (* 0.5 x))
8.0ms	(+ (fma (- 1.0 z) y (* 0.5 x)) (* (log z) y))
8.0ms	(* (log z) y)

series162.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(fma (- 1.0 z) y (* 0.5 x))
67.0ms	(+ (fma (- 1.0 z) y (* 0.5 x)) (* (log z) y))
60.0ms	(* (log z) y)

simplify3.0s

Counts

57 → 57

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	96	644
1	233	589
2	690	532
3	2713	508
done	5000	503

prune147.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

28.0ms	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
20.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
22.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
20.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
127.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
126.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
129.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	278	3518
1	809	3234
2	2803	3032
done	5000	2847

prune403.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
22×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-div` `associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3-+` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* (cbrt y) (cbrt y))
23.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

series675.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
175.0ms	(cbrt y)
195.0ms	(* (cbrt y) (cbrt y))
130.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

simplify723.0ms

Counts

93 → 93

Iterations

Useful iterations: done (720.0ms)

Iter	Nodes	Cost
0	193	1107
1	502	972
2	1553	930
done	5000	806

prune334.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes185.0ms

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

sample1.1s

Algorithm

intervals

Results

321.0ms	9183×	body	80	valid
242.0ms	9279×	body	80	nan