Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

344×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	23
1	14
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize7.0ms

Local error

Found 1 expressions with local error:

4.3b	(* x (+ 1.0 (* y y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

14.0ms

(* x (+ 1.0 (* y y)))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(* x (+ 1.0 (* y y)))

simplify574.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5001
2	785
1	165
0	52

prune141.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* y x) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

1 → 20

Calls

1 calls:

19.0ms

(* (* y x) y)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (* y x) y)

simplify686.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
2	711
1	101
0	39

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

4.3b	(* (+ 1.0 (* y y)) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

19.0ms

(* (+ 1.0 (* y y)) x)

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(* (+ 1.0 (* y y)) x)

simplify407.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	738
1	131
0	49

prune103.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

2.2b	(* x (fma 1.0 1.0 (- (pow y 4))))
9.9b	(/ (* x (fma 1.0 1.0 (- (pow y 4)))) (- 1.0 (* y y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `associate-/r*` `times-frac`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `fma-udef` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3--` `pow-prod-down` `-commutative` `div-inv` `flip--` `associate-/l` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (fma 1.0 1.0 (- (pow y 4))))
13.0ms	(/ (* x (fma 1.0 1.0 (- (pow y 4)))) (- 1.0 (* y y)))

series331.0ms

Counts

2 → 6

Calls

2 calls:

130.0ms	(* x (fma 1.0 1.0 (- (pow y 4))))
202.0ms	(/ (* x (fma 1.0 1.0 (- (pow y 4)))) (- 1.0 (* y y)))

simplify788.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
2	1493
1	260
0	101

prune211.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes172.0ms

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	11
1	11
0	7

end0.0ms

sample602.0ms

Algorithm

intervals

Results

330.0ms

10708×

body

valid