Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

316×

body

valid

simplify617.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	35	8
4	54	8
5	72	8
6	83	8
7	104	8
8	152	8
9	255	8
10	372	8
11	417	8
12	463	8
13	512	8
done	512	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma x y (* (- x 1.0) z))
10.0ms	(* (- x 1.0) z)

series61.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(fma x y (* (- x 1.0) z))
29.0ms	(* (- x 1.0) z)

simplify929.0ms

Counts

40 → 40

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	64	347
1	135	332
2	439	293
3	1643	293
done	5000	293

prune80.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
0.0b	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
2.7b	(* (- (pow x 3) (pow 1.0 3)) z)
11.2b	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
25×	`associate-l`
18×	`*-un-lft-identity`
16×	`difference-of-squares`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
8×	`add-cube-cbrt` `sqr-pow`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
3×	`times-frac` `associate-r` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`difference-cubes` `+-commutative` `associate-+r+` `fma-def` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

0.0ms	(fma x y (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
9.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
60.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
41.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma x y (/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))
18.0ms	(+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))
37.0ms	(* (- (pow x 3) (pow 1.0 3)) z)
80.0ms	(/ (* (- (pow x 3) (pow 1.0 3)) z) (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))

simplify699.0ms

Counts

109 → 109

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	172	1980
1	475	1697
2	2143	1483
done	5000	1483

prune331.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (+ 1.0 x))))
0.1b	(* (pow x 3) (pow x 3))
2.1b	(* (- (* (pow x 3) (pow x 3)) (* (pow 1.0 3) (pow 1.0 3))) z)
16.9b	(/ (* (- (* (pow x 3) (pow x 3)) (* (pow 1.0 3) (pow 1.0 3))) z) (* (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (+ 1.0 x)))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`unpow-prod-down` `cube-prod`
26×	`associate-l`
24×	`add-cube-cbrt`
22×	`add-cbrt-cube`
18×	`swap-sqr` `associate-r` `unswap-sqr`
15×	`prod-exp`
12×	`sqr-pow`
8×	`pow1` `associate-*l/`
7×	`cbrt-unprod`
6×	`pow-to-exp` `pow-exp`
5×	`pow-prod-down` `distribute-lft-out`
4×	`cbrt-undiv` `expm1-log1p-u` `cube-mult` `unpow3` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `fma-udef` `associate-/l/`
1×	`difference-cubes` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `clear-num` `associate-/r` `pow-sqr` `sum-cubes` `pow-prod-up` `div-inv` `associate-/l` `difference-of-squares`

Counts

4 → 163

Calls

4 calls:

55.0ms	(* (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (+ 1.0 x))))
12.0ms	(* (pow x 3) (pow x 3))
27.0ms	(* (- (* (pow x 3) (pow x 3)) (* (pow 1.0 3) (pow 1.0 3))) z)
27.0ms	(/ (* (- (* (pow x 3) (pow x 3)) (* (pow 1.0 3) (pow 1.0 3))) z) (* (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (+ 1.0 x)))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (+ 1.0 x))))
43.0ms	(* (pow x 3) (pow x 3))
36.0ms	(* (- (* (pow x 3) (pow x 3)) (* (pow 1.0 3) (pow 1.0 3))) z)
122.0ms	(/ (* (- (* (pow x 3) (pow x 3)) (* (pow 1.0 3) (pow 1.0 3))) z) (* (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (+ 1.0 x)))))

simplify1.9s

Counts

175 → 175

Iterations

Useful iterations: 2 (287.0ms)

Iter	Nodes	Cost
0	217	3568
1	608	2495
2	3524	2074
done	5000	2074

prune476.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample440.0ms

Algorithm

intervals

Results

232.0ms

10036×

body

valid