Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	260×	body	80	nan
9.0ms	259×	body	80	valid

simplify9.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (47.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	62	12
3	183	12
4	570	11
5	1344	11
6	2025	11
7	3118	11
8	3488	11
9	3826	11
10	4766	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms	(* (+ y 0.5) (log y))

series315.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- x (* (+ y 0.5) (log y)))
43.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
236.0ms	(* (+ y 0.5) (log y))

simplify568.0ms

Counts

89 → 89

Iterations

Useful iterations: done (566.0ms)

Iter	Nodes	Cost
0	153	1113
1	406	1018
2	1460	914
done	5001	897

prune217.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

10.0ms	(* (log (cbrt y)) (+ y 0.5))
17.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series872.0ms

Counts

4 → 12

Calls

4 calls:

440.0ms	(* (log (cbrt y)) (+ y 0.5))
86.0ms	(- (- x (* (* 2 (log (cbrt y))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
175.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify914.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	176	1674
1	509	1486
2	2212	1224
done	5000	1224

prune347.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- x (* (log (cbrt y)) (+ (* (+ y 0.5) 2) y))) (* (log (cbrt y)) 0.5))
0.2b	(* (log (cbrt y)) (+ (* (+ y 0.5) 2) y))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

14.0ms	(- (- x (* (log (cbrt y)) (+ (* (+ y 0.5) 2) y))) (* (log (cbrt y)) 0.5))
21.0ms	(* (log (cbrt y)) (+ (* (+ y 0.5) 2) y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series866.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (- x (* (log (cbrt y)) (+ (* (+ y 0.5) 2) y))) (* (log (cbrt y)) 0.5))
428.0ms	(* (log (cbrt y)) (+ (* (+ y 0.5) 2) y))
180.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify537.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	148	1383
1	386	1213
2	1472	1047
done	5000	1047

prune330.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 2 (log (pow y 1/3))) (+ y 0.5))
0.3b	(- (- x (* (* 2 (log (pow y 1/3))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube` `add-log-exp`
6×	`associate-*r/` `prod-diff`
5×	`associate--l+`
4×	`expm1-log1p-u` `associate-r` `frac-sub` `log1p-expm1-u`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `flip3--` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate--r+`
1×	`associate--l-` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `associate-l` `pow-exp` `*-commutative` `distribute-lft-out` `sqr-pow`

Counts

4 → 91

Calls

4 calls:

12.0ms	(* (* 2 (log (pow y 1/3))) (+ y 0.5))
18.0ms	(- (- x (* (* 2 (log (pow y 1/3))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series892.0ms

Counts

4 → 12

Calls

4 calls:

438.0ms	(* (* 2 (log (pow y 1/3))) (+ y 0.5))
116.0ms	(- (- x (* (* 2 (log (pow y 1/3))) (+ y 0.5))) (* (log (cbrt y)) (+ y 0.5)))
172.0ms	(cbrt y)
166.0ms	(pow y 1/3)

simplify1.1s

Counts

103 → 103

Iterations

Useful iterations: 2 (229.0ms)

Iter	Nodes	Cost
0	228	1913
1	645	1594
2	3136	1333
done	5001	1333

prune377.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes157.0ms

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	10	12
1	13	12
done	13	12

end0.0ms

sample832.0ms

Algorithm

intervals

Results

282.0ms	8038×	body	80	valid
211.0ms	7991×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid