Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	286×	body	80	valid
7.0ms	289×	body	80	nan

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune6.0ms

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

rewrite139.0ms

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:

20.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
33.0ms	(+ (- 1.0 z) (log z))
83.0ms	(* y (+ (- 1.0 z) (log z)))

series360.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
190.0ms	(+ (- 1.0 z) (log z))
92.0ms	(* y (+ (- 1.0 z) (log z)))

simplify831.0ms

Counts

91 → 91

Iterations

Useful iterations: done (828.0ms)

Iter	Nodes	Cost
0	149	1029
1	410	915
2	1356	797
done	5000	796

prune271.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

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×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
2×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+r+` `distribute-rgt-out` `flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

22.0ms	(* (- 1.0 z) y)
32.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
16.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
9.0ms	(* (log z) y)

series297.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- 1.0 z) y)
71.0ms	(+ (* x 0.5) (+ (* (- 1.0 z) y) (* (log z) y)))
109.0ms	(+ (* (- 1.0 z) y) (* (log z) y))
76.0ms	(* (log z) y)

simplify1.3s

Counts

88 → 88

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	152	1011
1	426	829
2	1603	774
done	5000	769

prune243.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
0.6b	(cbrt (* (log z) y))
0.6b	(cbrt (* (log z) y))
0.6b	(cbrt (* (log z) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

14.0ms	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
3.0ms	(cbrt (* (log z) y))
4.0ms	(cbrt (* (log z) y))
4.0ms	(cbrt (* (log z) y))

series584.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
142.0ms	(cbrt (* (log z) y))
132.0ms	(cbrt (* (log z) y))
131.0ms	(cbrt (* (log z) y))

simplify3.7s

Counts

78 → 78

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	93	824
1	194	744
2	451	655
3	1239	561
4	4948	496
done	5000	496

prune491.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
0.6b	(cbrt (* (log z) y))
0.6b	(cbrt (* (log z) y))
0.6b	(cbrt y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

14.0ms	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
4.0ms	(cbrt (* (log z) y))
4.0ms	(cbrt (* (log z) y))
1.0ms	(cbrt y)

series635.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (* (log z) y)) (cbrt (* (log z) y)))
129.0ms	(cbrt (* (log z) y))
130.0ms	(cbrt (* (log z) y))
196.0ms	(cbrt y)

simplify1.3s

Counts

80 → 80

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	111	775
1	227	694
2	523	610
3	1442	520
done	5000	487

prune302.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes228.0ms

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

314.0ms	9105×	body	80	valid
254.0ms	9136×	body	80	nan