Details

sample119.0ms

Algorithm

intervals

Results

82.0ms

391×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1455
3	408
2	116
1	38
0	18

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
0.0b	(fma (- (+ t y) 2.0) b (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
0.0b	(fma z (- 1.0 y) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

3 → 33

Calls

3 calls:

0.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
0.0ms	(fma (- (+ t y) 2.0) b (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
1.0ms	(fma z (- 1.0 y) x)

series389.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
247.0ms	(fma (- (+ t y) 2.0) b (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
36.0ms	(fma z (- 1.0 y) x)

simplify1.1s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	930
2	262
1	117
0	64

prune302.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
0.0b	(fma z (- 1.0 y) x)
0.0b	(+ (* (- (+ t y) 2.0) b) (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
0.0b	(* (- (+ t y) 2.0) b)

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
6×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-r` `fma-udef`
2×	`associate-*l/` `distribute-lft-out--`
1×	`+-commutative` `associate-+r+` `sum-log` `fma-def` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `difference-of-squares` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

0.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
0.0ms	(fma z (- 1.0 y) x)
86.0ms	(+ (* (- (+ t y) 2.0) b) (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
117.0ms	(* (- (+ t y) 2.0) b)

series420.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
45.0ms	(fma z (- 1.0 y) x)
242.0ms	(+ (* (- (+ t y) 2.0) b) (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
39.0ms	(* (- (+ t y) 2.0) b)

simplify1.7s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	894
1	284
0	120

prune561.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) (+ t y))
0.1b	(* (* (+ y t) (+ y t)) (+ y t))
4.3b	(* b (- (* (* (+ y t) (+ y t)) (+ y t)) (* 2.0 (* 2.0 2.0))))
19.3b	(/ (* b (- (* (* (+ y t) (+ y t)) (+ y t)) (* 2.0 (* 2.0 2.0)))) (+ (* (+ t y) (+ t y)) (+ (* 2.0 2.0) (* (+ t y) 2.0))))

rewrite574.0ms

Algorithm

rewrite-expression-head

Rules

54×	`flip3-+` `flip-+`
40×	`frac-times`
32×	`pow1`
29×	`*-un-lft-identity`
20×	`associate-*l/`
18×	`add-sqr-sqrt` `add-cbrt-cube` `associate-*r/` `add-exp-log` `associate-/r/`
16×	`frac-add`
13×	`add-cube-cbrt`
12×	`associate-r`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-l`
7×	`pow-plus` `pow-prod-up` `distribute-lft-out`
6×	`swap-sqr` `prod-exp` `cbrt-unprod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate--l+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `associate-/r` `times-frac` `pow-sqr` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-diff` `pow3` `flip--` `associate-/l/`
1×	`difference-cubes` `clear-num` `frac-2neg` `cube-unmult` `div-inv` `associate-/l*`

Counts

4 → 181

Calls

4 calls:

47.0ms	(* (+ t y) (+ t y))
51.0ms	(* (* (+ y t) (+ y t)) (+ y t))
274.0ms	(* b (- (* (* (+ y t) (+ y t)) (+ y t)) (* 2.0 (* 2.0 2.0))))
196.0ms	(/ (* b (- (* (* (+ y t) (+ y t)) (+ y t)) (* 2.0 (* 2.0 2.0)))) (+ (* (+ t y) (+ t y)) (+ (* 2.0 2.0) (* (+ t y) 2.0))))

series516.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ t y) (+ t y))
50.0ms	(* (* (+ y t) (+ y t)) (+ y t))
165.0ms	(* b (- (* (* (+ y t) (+ y t)) (+ y t)) (* 2.0 (* 2.0 2.0))))
274.0ms	(/ (* b (- (* (* (+ y t) (+ y t)) (+ y t)) (* 2.0 (* 2.0 2.0)))) (+ (* (+ t y) (+ t y)) (+ (* 2.0 2.0) (* (+ t y) 2.0))))

simplify1.8s

Counts

193 → 193

Iterations

Iter	Nodes
done	5003
1	1382
0	373

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes378.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	15

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.9s	12485×	body	80	valid
3.0ms	5×	body	640	valid
2.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid