Details

sample114.0ms

Algorithm

intervals

Results

45.0ms	808×	body	80	nan
18.0ms	257×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2214
4	521
3	129
2	52
1	21
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x (log y)) y) z)
0.0b	(+ (- (- (* x (log y)) y) z) (log t))
0.0b	(- (* x (log y)) y)
0.3b	(* x (log y))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

83.0ms	(- (- (* x (log y)) y) z)
166.0ms	(+ (- (- (* x (log y)) y) z) (log t))
11.0ms	(- (* x (log y)) y)
7.0ms	(* x (log y))

series270.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (- (* x (log y)) y) z)
60.0ms	(+ (- (- (* x (log y)) y) z) (log t))
78.0ms	(- (* x (log y)) y)
73.0ms	(* x (log y))

simplify1.9s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	2173
1	573
0	220

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt t))
0.0b	(log (sqrt t))
0.0b	(+ (+ (fma (log y) x (- (- y) z)) (log (sqrt t))) (log (sqrt t)))
0.1b	(fma (log y) x (- (- y) z))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
18×	`log-prod`
14×	`pow1`
12×	`log-pow` `distribute-lft-out`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`sqrt-prod`
6×	`associate-+r+` `add-exp-log` `add-log-exp`
5×	`fma-def`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sum-log`
2×	`sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+` `fma-udef`

Counts

4 → 80

Calls

4 calls:

2.0ms	(log (sqrt t))
2.0ms	(log (sqrt t))
75.0ms	(+ (+ (fma (log y) x (- (- y) z)) (log (sqrt t))) (log (sqrt t)))
0.0ms	(fma (log y) x (- (- y) z))

series301.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(log (sqrt t))
85.0ms	(log (sqrt t))
111.0ms	(+ (+ (fma (log y) x (- (- y) z)) (log (sqrt t))) (log (sqrt t)))
42.0ms	(fma (log y) x (- (- y) z))

simplify504.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1021
1	268
0	115

prune608.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* (cbrt y) (cbrt y))
256.0ms	(cbrt y)
229.0ms	(cbrt y)
255.0ms	(cbrt y)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune739.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(pow y 2/3)
2.0ms	(pow y 2/3)
2.0ms	(pow y 2/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt y)
263.0ms	(pow y 2/3)
239.0ms	(pow y 2/3)
271.0ms	(pow y 2/3)

simplify2.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	2995
2	516
1	140
0	61

prune609.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes479.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.6s	23596×	body	80	nan
657.0ms	8031×	body	80	valid
0.0ms	1×	body	640	valid