Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
7.0ms	251×	body	80	nan

simplify8.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (65.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	62	12
3	183	12
4	540	11
5	1046	11
6	1676	11
7	2317	11
8	2492	11
9	2690	11
10	3070	11
11	4469	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

67.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
11.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
17.0ms	(* (+ y 0.5) (log y))

series393.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
45.0ms	(- x (* (+ y 0.5) (log y)))
45.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
244.0ms	(* (+ y 0.5) (log y))

simplify639.0ms

Counts

129 → 129

Iterations

Useful iterations: done (636.0ms)

Iter	Nodes	Cost
0	212	1986
1	527	1749
2	1733	1540
done	5000	1539

prune316.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `flip3-+` `associate-*l/` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `frac-add` `log1p-expm1-u`
3×	`pow1/3`
2×	`associate-+l+` `log-pow`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

12.0ms	(* (+ y 0.5) (log (cbrt y)))
14.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

453.0ms	(* (+ y 0.5) (log (cbrt y)))
814.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
196.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify795.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (213.0ms)

Iter	Nodes	Cost
0	173	1530
1	506	1362
2	1952	1109
done	5000	1109

prune393.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
0.5b	(cbrt (* (+ y 0.5) (log y)))
0.5b	(cbrt (* (+ y 0.5) (log y)))
0.5b	(cbrt (* (+ y 0.5) (log y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
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×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
3.0ms	(cbrt (* (+ y 0.5) (log y)))
4.0ms	(cbrt (* (+ y 0.5) (log y)))
4.0ms	(cbrt (* (+ y 0.5) (log y)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (* (+ y 0.5) (log y))) (cbrt (* (+ y 0.5) (log y))))
89.0ms	(cbrt (* (+ y 0.5) (log y)))
88.0ms	(cbrt (* (+ y 0.5) (log y)))
88.0ms	(cbrt (* (+ y 0.5) (log y)))

simplify825.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (255.0ms)

Iter	Nodes	Cost
0	238	2764
1	683	2563
2	3013	2385
done	5000	2385

prune386.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (fma y (- (log y)) y)) z)
0.0b	(+ x (fma y (- (log y)) y))
0.2b	(fma y (- (log y)) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
10×	`add-log-exp`
6×	`distribute-lft-out`
4×	`fma-neg`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
2×	`diff-log` `sum-log` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

27.0ms	(- (+ x (fma y (- (log y)) y)) z)
3.0ms	(+ x (fma y (- (log y)) y))
0.0ms	(fma y (- (log y)) y)

series323.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (+ x (fma y (- (log y)) y)) z)
62.0ms	(+ x (fma y (- (log y)) y))
217.0ms	(fma y (- (log y)) y)

simplify2.3s

Counts

72 → 72

Iterations

Useful iterations: 3 (545.0ms)

Iter	Nodes	Cost
0	119	1102
1	277	942
2	811	800
3	4347	706
done	5000	706

prune165.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes126.0ms

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	10	12
1	13	12
done	13	12

end0.0ms

sample844.0ms

Algorithm

intervals

Results

283.0ms	8036×	body	80	valid
213.0ms	8155×	body	80	nan