Details

sample36.0ms

Algorithm

intervals

Results

23.0ms

331×

body

valid

simplify39.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	44
4	44
3	38
2	23
1	10
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite26.0ms

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

26.0ms

(* x (- 1.0 (* x y)))

series77.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(* x (- 1.0 (* x y)))

simplify1.9s

Counts

28 → 28

Iterations

Iter	Nodes
done	5005
3	1879
2	416
1	133
0	52

prune102.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (- (* x y)) x))
0.2b	(* (- (* x y)) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-l`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`distribute-lft-neg-out` `associate-r`
2×	`insert-posit16`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

7.0ms	(+ (* 1.0 x) (* (- (* x y)) x))
9.0ms	(* (- (* x y)) x)

series74.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (* 1.0 x) (* (- (* x y)) x))
29.0ms	(* (- (* x y)) x)

simplify3.3s

Counts

44 → 44

Iterations

Iter	Nodes
done	5001
3	3359
2	753
1	189
0	67

prune217.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (- (* x y)) x)) (cbrt (* (- (* x y)) x)))
20.1b	(cbrt (* (- (* x y)) x))
20.1b	(cbrt (* (- (* x y)) x))
20.1b	(cbrt (* (- (* x y)) x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

30.0ms	(* (cbrt (* (- (* x y)) x)) (cbrt (* (- (* x y)) x)))
5.0ms	(cbrt (* (- (* x y)) x))
9.0ms	(cbrt (* (- (* x y)) x))
9.0ms	(cbrt (* (- (* x y)) x))

series628.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (* (- (* x y)) x)) (cbrt (* (- (* x y)) x)))
135.0ms	(cbrt (* (- (* x y)) x))
149.0ms	(cbrt (* (- (* x y)) x))
172.0ms	(cbrt (* (- (* x y)) x))

simplify2.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	1463
2	586
1	228
0	91

prune452.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

44.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
4.0ms	(cbrt (- 1.0 (* x y)))
4.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

338.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
335.0ms	(cbrt (- 1.0 (* x y)))
346.0ms	(cbrt (- 1.0 (* x y)))
319.0ms	(cbrt (- 1.0 (* x y)))

simplify3.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5003
3	4620
2	1149
1	381
0	148

prune622.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
3	24
2	23
1	18
0	8

end0.0ms

sample670.0ms

Algorithm

intervals

Results

448.0ms

10702×

body

valid