Details

sample30.0ms

Algorithm

intervals

Results

18.0ms

323×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4630
11	3891
10	2742
9	1466
8	912
7	702
6	572
5	392
4	222
3	115
2	53
1	25
0	10

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- 4.0 (* x 3.0)) x)
0.1b	(* 3.0 (- 1.0 (* (- 4.0 (* x 3.0)) x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`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` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

28.0ms	(* (- 4.0 (* x 3.0)) x)
27.0ms	(* 3.0 (- 1.0 (* (- 4.0 (* x 3.0)) x)))

series136.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(* (- 4.0 (* x 3.0)) x)
39.0ms	(* 3.0 (- 1.0 (* (- 4.0 (* x 3.0)) x)))

simplify2.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	3489
2	749
1	234
0	96

prune159.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- (* 9.0 x) 12.0))

rewrite56.0ms

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:

55.0ms

(* x (- (* 9.0 x) 12.0))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(* x (- (* 9.0 x) 12.0))

simplify1.5s

Counts

28 → 28

Iterations

Iter	Nodes
done	5001
3	1522
2	394
1	134
0	53

prune93.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x))))
0.1b	(* (* 3.0 (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x)))) (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x))))
0.1b	(* (- 4.0 (* x 3.0)) x)
0.1b	(* (- 4.0 (* x 3.0)) x)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`sqrt-div`
13×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `associate-*r/`
9×	`flip3--` `flip--`
7×	`sqrt-prod`
6×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

20.0ms	(* 3.0 (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x))))
45.0ms	(* (* 3.0 (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x)))) (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x))))
16.0ms	(* (- 4.0 (* x 3.0)) x)
19.0ms	(* (- 4.0 (* x 3.0)) x)

series438.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* 3.0 (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x))))
52.0ms	(* (* 3.0 (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x)))) (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x))))
113.0ms	(* (- 4.0 (* x 3.0)) x)
103.0ms	(* (- 4.0 (* x 3.0)) x)

simplify1.5s

Counts

109 → 109

Iterations

Iter	Nodes
done	5002
2	1509
1	433
0	165

prune419.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (- 4.0 (* x 3.0)) x)) (cbrt (* (- 4.0 (* x 3.0)) x)))
0.6b	(cbrt (* (- 4.0 (* x 3.0)) x))
0.6b	(cbrt (* (- 4.0 (* x 3.0)) x))
0.6b	(cbrt (* (- 4.0 (* x 3.0)) x))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

32.0ms	(* (cbrt (* (- 4.0 (* x 3.0)) x)) (cbrt (* (- 4.0 (* x 3.0)) x)))
10.0ms	(cbrt (* (- 4.0 (* x 3.0)) x))
13.0ms	(cbrt (* (- 4.0 (* x 3.0)) x))
12.0ms	(cbrt (* (- 4.0 (* x 3.0)) x))

series800.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt (* (- 4.0 (* x 3.0)) x)) (cbrt (* (- 4.0 (* x 3.0)) x)))
194.0ms	(cbrt (* (- 4.0 (* x 3.0)) x))
202.0ms	(cbrt (* (- 4.0 (* x 3.0)) x))
182.0ms	(cbrt (* (- 4.0 (* x 3.0)) x))

simplify3.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	4858
2	1402
1	500
0	191

prune455.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample751.0ms

Algorithm

intervals

Results

625.0ms

10699×

body

valid