Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	10	13
1	26	13
2	61	11
3	143	10
4	246	10
5	309	10
6	356	10
7	435	10
8	591	10
9	908	10
10	1078	10
11	1155	10
12	1158	10
done	1158	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

40.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
7.0ms	(- (* (* x 3.0) x) (* x 4.0))
99.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
7.0ms	(* (* x 3.0) x)

series164.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
78.0ms	(- (* (* x 3.0) x) (* x 4.0))
32.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
30.0ms	(* (* x 3.0) x)

simplify2.6s

Counts

95 → 95

Iterations

Useful iterations: 3 (941.0ms)

Iter	Nodes	Cost
0	130	1208
1	340	1149
2	1061	919
3	4580	865
done	5000	865

prune234.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

3.0ms	(- (* 9.0 x) 12.0)
12.0ms	(* x (- (* 9.0 x) 12.0))

series118.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- (* 9.0 x) 12.0)
69.0ms	(* x (- (* 9.0 x) 12.0))

simplify1.0s

Counts

56 → 56

Iterations

Useful iterations: 3 (242.0ms)

Iter	Nodes	Cost
0	93	644
1	187	552
2	471	481
3	1757	470
done	5000	470

prune111.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 9.0 x 12.0)
0.1b	(* x (/ (* (fma 9.0 x 12.0) (fma 9.0 x (- 12.0))) (fma 9.0 x 12.0)))
0.2b	(* (fma 9.0 x 12.0) (fma 9.0 x (- 12.0)))
0.2b	(/ (* (fma 9.0 x 12.0) (fma 9.0 x (- 12.0))) (fma 9.0 x 12.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma 9.0 x 12.0)
9.0ms	(* x (/ (* (fma 9.0 x 12.0) (fma 9.0 x (- 12.0))) (fma 9.0 x 12.0)))
3.0ms	(* (fma 9.0 x 12.0) (fma 9.0 x (- 12.0)))
4.0ms	(/ (* (fma 9.0 x 12.0) (fma 9.0 x (- 12.0))) (fma 9.0 x 12.0))

series299.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma 9.0 x 12.0)
85.0ms	(* x (/ (* (fma 9.0 x 12.0) (fma 9.0 x (- 12.0))) (fma 9.0 x 12.0)))
125.0ms	(* (fma 9.0 x 12.0) (fma 9.0 x (- 12.0)))
48.0ms	(/ (* (fma 9.0 x 12.0) (fma 9.0 x (- 12.0))) (fma 9.0 x 12.0))

simplify1.1s

Counts

96 → 96

Iterations

Useful iterations: 2 (170.0ms)

Iter	Nodes	Cost
0	115	1591
1	263	1568
2	1163	974
done	5000	974

prune255.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 9.0 (pow x 2)) (* 12.0 x))
0.2b	(* 9.0 (pow x 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 45

Calls

2 calls:

4.0ms	(- (* 9.0 (pow x 2)) (* 12.0 x))
6.0ms	(* 9.0 (pow x 2))

series104.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(- (* 9.0 (pow x 2)) (* 12.0 x))
27.0ms	(* 9.0 (pow x 2))

simplify1.1s

Counts

51 → 51

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	83	500
1	190	456
2	535	409
3	1610	377
done	5000	376

prune110.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample377.0ms

Algorithm

intervals

Results

266.0ms

10578×

body

valid