Details

sample61.0ms

Algorithm

intervals

Results

21.0ms	228×	body	80	nan
17.0ms	258×	body	80	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4166
5	2057
4	627
3	203
2	63
1	21
0	10

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

5.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
0.0ms	(fma (log y) (+ 0.5 y) (- z y))

series139.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
76.0ms	(fma (log y) (+ 0.5 y) (- z y))

simplify2.6s

Counts

45 → 45

Iterations

Iter	Nodes
done	5020
3	2258
2	634
1	237
0	101

prune339.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

19.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
27.0ms	(* (+ y 0.5) (log y))

series406.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
347.0ms	(* (+ y 0.5) (log y))

simplify3.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	4397
2	944
1	329
0	121

prune335.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

20.0ms	(* (+ y 0.5) (log (cbrt y)))
45.0ms	(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series2.2s

Counts

4 → 12

Calls

4 calls:

638.0ms	(* (+ y 0.5) (log (cbrt y)))
1.1s	(+ (* (log (cbrt y)) (+ (+ 0.5 y) (+ 0.5 y))) (* (+ y 0.5) (log (cbrt y))))
257.0ms	(cbrt y)
250.0ms	(cbrt y)

simplify3.1s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
2	3308
1	851
0	237

prune748.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (pow y 1/3)) (+ (+ 0.5 y) (+ 0.5 y)))
0.2b	(+ (* (log (pow y 1/3)) (+ (+ 0.5 y) (+ 0.5 y))) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
5.2b	(pow y 1/3)

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
24×	`frac-add`
22×	`flip3-+` `flip-+`
20×	`associate-r`
19×	`add-sqr-sqrt`
18×	`associate-*r/`
17×	`add-cube-cbrt`
16×	`distribute-lft-out`
12×	`associate-+r+` `log-prod` `associate-*l/`
9×	`cbrt-prod`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log`
6×	`distribute-rgt-out` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`pow-unpow` `unpow-prod-down`
2×	`associate-+l+` `distribute-lft1-in` `distribute-rgt1-in`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `fma-def` `unpow1/3` `count-2` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 119

Calls

4 calls:

135.0ms	(* (log (pow y 1/3)) (+ (+ 0.5 y) (+ 0.5 y)))
55.0ms	(+ (* (log (pow y 1/3)) (+ (+ 0.5 y) (+ 0.5 y))) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
4.0ms	(pow y 1/3)

series2.5s

Counts

4 → 12

Calls

4 calls:

645.0ms	(* (log (pow y 1/3)) (+ (+ 0.5 y) (+ 0.5 y)))
1.4s	(+ (* (log (pow y 1/3)) (+ (+ 0.5 y) (+ 0.5 y))) (* (+ y 0.5) (log (cbrt y))))
248.0ms	(cbrt y)
222.0ms	(pow y 1/3)

simplify2.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	4076
1	949
0	286

prune985.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes257.0ms

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	10
1	10
0	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

793.0ms	8049×	body	80	valid
518.0ms	8035×	body	80	nan