Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

336×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	46	8
3	91	8
4	142	8
5	182	8
6	243	8
7	866	8
done	5000	8

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* (fma 0.12 x 0.253) x))
0.1b	(* (fma 0.12 x 0.253) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

14.0ms	(- 1.0 (* (fma 0.12 x 0.253) x))
16.0ms	(* (fma 0.12 x 0.253) x)

series172.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- 1.0 (* (fma 0.12 x 0.253) x))
132.0ms	(* (fma 0.12 x 0.253) x)

simplify602.0ms

Counts

46 → 46

Iterations

Useful iterations: done (600.0ms)

Iter	Nodes	Cost
0	74	529
1	158	499
2	664	450
done	5000	440

prune164.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x (+ (* 0.12 x) 0.253)))
0.0b	(+ (* 0.12 x) 0.253)
0.1b	(* x (+ (* 0.12 x) 0.253))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

12.0ms	(- 1.0 (* x (+ (* 0.12 x) 0.253)))
16.0ms	(+ (* 0.12 x) 0.253)
36.0ms	(* x (+ (* 0.12 x) 0.253))

series200.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- 1.0 (* x (+ (* 0.12 x) 0.253)))
58.0ms	(+ (* 0.12 x) 0.253)
97.0ms	(* x (+ (* 0.12 x) 0.253))

simplify920.0ms

Counts

69 → 69

Iterations

Useful iterations: done (917.0ms)

Iter	Nodes	Cost
0	98	778
1	282	667
2	1246	619
done	5000	615

prune171.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (fma 0.12 (* x x) (* 0.253 x)))
0.3b	(fma 0.12 (* x x) (* 0.253 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
4×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

18.0ms	(- 1.0 (fma 0.12 (* x x) (* 0.253 x)))
1.0ms	(fma 0.12 (* x x) (* 0.253 x))

series155.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- 1.0 (fma 0.12 (* x x) (* 0.253 x)))
98.0ms	(fma 0.12 (* x x) (* 0.253 x))

simplify738.0ms

Counts

45 → 45

Iterations

Useful iterations: done (736.0ms)

Iter	Nodes	Cost
0	72	1068
1	164	784
2	682	569
done	5001	431

prune135.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (* (* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253)) x) (- (* 0.12 x) 0.253)))
0.1b	(* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253))
0.3b	(* (* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253)) x)
7.7b	(/ (* (* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253)) x) (- (* 0.12 x) 0.253))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

33×	`prod-diff`
31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
12×	`times-frac`
11×	`pow1`
8×	`flip3--` `associate-/r/` `flip--`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r/` `associate-r*` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `div-inv`
3×	`cbrt-undiv` `sub-neg` `fma-neg` `div-exp` `associate-/r*`
2×	`*-commutative` `associate-/l/`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

67.0ms	(- 1.0 (/ (* (* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253)) x) (- (* 0.12 x) 0.253)))
38.0ms	(* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253))
88.0ms	(* (* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253)) x)
61.0ms	(/ (* (* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253)) x) (- (* 0.12 x) 0.253))

series538.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- 1.0 (/ (* (* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253)) x) (- (* 0.12 x) 0.253)))
172.0ms	(* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253))
207.0ms	(* (* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253)) x)
102.0ms	(/ (* (* (fma 0.12 x 0.253) (- (* 0.12 x) 0.253)) x) (- (* 0.12 x) 0.253))

simplify512.0ms

Counts

141 → 141

Iterations

Useful iterations: done (503.0ms)

Iter	Nodes	Cost
0	247	5114
1	688	4378
done	5000	3549

prune459.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample704.0ms

Algorithm

intervals

Results

457.0ms

10705×

body

valid