Details

sample70.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
16.0ms	283×	body	80	nan

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (260.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	206	12
4	1068	11
done	5000	11

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 3 expressions with local error:

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

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

313.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
49.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
47.0ms	(* (+ y 0.5) (log y))

series780.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
100.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
557.0ms	(* (+ y 0.5) (log y))

simplify2.4s

Counts

100 → 100

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	179	1585
1	473	1408
2	1824	1241
done	5000	1167

prune756.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

65.0ms	(* (log (cbrt y)) (+ y 0.5))
66.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
3.0ms	(cbrt y)
2.0ms	(cbrt y)

series4.0s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (log (cbrt y)) (+ y 0.5))
1.9s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
452.0ms	(cbrt y)
460.0ms	(cbrt y)

simplify3.7s

Counts

88 → 88

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	147	1170
1	468	1004
2	2684	838
done	5000	800

prune872.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

250.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
43.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
54.0ms	(* (+ y 0.5) (log y))

series718.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
83.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
510.0ms	(* (+ y 0.5) (log y))

simplify2.5s

Counts

100 → 100

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	179	1585
1	473	1408
2	1824	1241
done	5000	1167

prune603.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (pow y 2/3))
0.6b	(cbrt (cbrt y))
6.0b	(pow y 2/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 65

Calls

4 calls:

2.0ms	(cbrt y)
3.0ms	(cbrt (pow y 2/3))
2.0ms	(cbrt (cbrt y))
5.0ms	(pow y 2/3)

series1.6s

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt y)
377.0ms	(cbrt (pow y 2/3))
481.0ms	(cbrt (cbrt y))
344.0ms	(pow y 2/3)

simplify3.1s

Counts

77 → 77

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	101	460
1	207	415
2	673	379
3	2758	365
done	5000	361

prune813.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes496.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	13	12
done	13	12

end0.0ms

sample2.5s

Algorithm

intervals

Results

814.0ms	8032×	body	80	valid
744.0ms	7975×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid