Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

332×

body

valid

simplify5.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	4353
10	2586
9	1467
8	947
7	764
6	690
5	551
4	318
3	142
2	61
1	26
0	10

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

29.0ms	(- (* (* x 3.0) x) (* x 4.0))
303.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
34.0ms	(* (* x 3.0) x)

series232.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(- (* (* x 3.0) x) (* x 4.0))
56.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
36.0ms	(* (* x 3.0) x)

simplify1.7s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1369
1	330
0	115

prune364.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma (* x x) 9.0 3.0) (* x 12.0))
0.1b	(fma (* x x) 9.0 3.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

2 → 31

Calls

2 calls:

5.0ms	(- (fma (* x x) 9.0 3.0) (* x 12.0))
0.0ms	(fma (* x x) 9.0 3.0)

series137.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (fma (* x x) 9.0 3.0) (* x 12.0))
86.0ms	(fma (* x x) 9.0 3.0)

simplify2.0s

Counts

37 → 37

Iterations

Iter	Nodes
done	5006
3	1688
2	378
1	121
0	54

prune173.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
0.1b	(* (* 3.0 (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))) (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
0.2b	(* (* x 3.0) x)
0.2b	(* (* x 3.0) x)

rewrite680.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
20×	`associate-r`
15×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`sqrt-div`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
9×	`sqrt-prod`
7×	`flip3-+` `flip-+`
6×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`associate-*l/` `distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

207.0ms	(* 3.0 (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
435.0ms	(* (* 3.0 (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))) (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
14.0ms	(* (* x 3.0) x)
21.0ms	(* (* x 3.0) x)

series327.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* 3.0 (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
48.0ms	(* (* 3.0 (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))) (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
33.0ms	(* (* x 3.0) x)
50.0ms	(* (* x 3.0) x)

simplify2.0s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1481
1	439
0	160

prune523.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 9.0 x) 12.0)
0.1b	(* x (- (* 9.0 x) 12.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

7.0ms	(- (* 9.0 x) 12.0)
24.0ms	(* x (- (* 9.0 x) 12.0))

series179.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(- (* 9.0 x) 12.0)
102.0ms	(* x (- (* 9.0 x) 12.0))

simplify3.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5003
3	2229
2	583
1	228
0	93

prune271.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes355.0ms

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	8

end0.0ms

sample929.0ms

Algorithm

intervals

Results

732.0ms

10603×

body

valid