Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

340×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	20
1	14
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize7.0ms

Local error

Found 1 expressions with local error:

5.0b	(* (+ 1.0 (* y y)) x)

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-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

13.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify439.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
2	704
1	127
0	47

prune109.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.2b

localize34.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (pow y 2))) x))
5.0b	(sqrt (+ 1.0 (pow y 2)))
5.0b	(sqrt (+ 1.0 (* y y)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
10×	`pow1` `sqrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`flip3-+` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip-+`
7×	`add-cube-cbrt`
6×	`associate-l`
4×	`frac-times`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`associate-r` `*-commutative` `distribute-lft-out`

Counts

3 → 60

Calls

3 calls:

64.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (pow y 2))) x))
20.0ms	(sqrt (+ 1.0 (pow y 2)))
8.0ms	(sqrt (+ 1.0 (* y y)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (pow y 2))) x))
77.0ms	(sqrt (+ 1.0 (pow y 2)))
77.0ms	(sqrt (+ 1.0 (* y y)))

simplify800.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	1159
1	313
0	126

prune396.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
2.3b	(* (* (+ 1.0 (pow y 2)) (* (cbrt x) (cbrt x))) (cbrt x))
2.9b	(* (+ 1.0 (pow y 2)) (* (cbrt x) (cbrt x)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
11×	`*-un-lft-identity` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`cbrt-prod` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`associate-r`
6×	`associate-*l/`
5×	`associate-l`
4×	`add-log-exp`
2×	`flip3-+` `pow1/3` `*-commutative` `flip-+`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
130.0ms	(* (* (+ 1.0 (pow y 2)) (* (cbrt x) (cbrt x))) (cbrt x))
59.0ms	(* (+ 1.0 (pow y 2)) (* (cbrt x) (cbrt x)))

series932.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt x)
296.0ms	(cbrt x)
91.0ms	(* (* (+ 1.0 (pow y 2)) (* (cbrt x) (cbrt x))) (cbrt x))
253.0ms	(* (+ 1.0 (pow y 2)) (* (cbrt x) (cbrt x)))

simplify1.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
2	1740
1	292
0	100

prune368.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 5.2b

localize23.0ms

Local error

Found 2 expressions with local error:

3.1b	(* x (- (* 1.0 1.0) (pow y 4)))
10.7b	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

53.0ms	(* x (- (* 1.0 1.0) (pow y 4)))
22.0ms	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

series435.0ms

Counts

2 → 6

Calls

2 calls:

176.0ms	(* x (- (* 1.0 1.0) (pow y 4)))
259.0ms	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1936
1	360
0	122

prune262.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 5.2b

regimes243.0ms

Accuracy

0% (0.2b remaining)

Error of 4.9b against oracle of 4.8b and baseline of 4.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample828.0ms

Algorithm

intervals

Results

416.0ms

10628×

body

valid