Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

302×

body

valid

simplify50.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	86
5	86
4	79
3	52
2	24
1	11
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize10.0ms

Local error

Found 1 expressions with local error:

3.6b	(* x (- 1.0 (* y z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

23.0ms

(* x (- 1.0 (* y z)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(* x (- 1.0 (* y z)))

simplify1.6s

Counts

35 → 35

Iterations

Iter	Nodes
done	5000
3	1725
2	488
1	158
0	70

prune151.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* (- (* y z)) x))
6.2b	(* (- (* y z)) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-l`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`distribute-lft-neg-out` `associate-r`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

6.0ms	(+ (* 1.0 x) (* (- (* y z)) x))
8.0ms	(* (- (* y z)) x)

series93.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ (* 1.0 x) (* (- (* y z)) x))
32.0ms	(* (- (* y z)) x)

simplify2.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
3	3252
2	797
1	197
0	70

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1.0 x) (* y (* (- z) x)))
6.8b	(* y (* (- z) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

7.0ms	(+ (* 1.0 x) (* y (* (- z) x)))
15.0ms	(* y (* (- z) x))

series93.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* 1.0 x) (* y (* (- z) x)))
28.0ms	(* y (* (- z) x))

simplify2.7s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	4038
2	774
1	201
0	70

prune207.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y z) (* y z))
1.2b	(+ (* (* y z) (* y z)) (* 1.0 (* y z)))
3.0b	(* x (- (* (* 1.0 1.0) 1.0) (* (* (* y z) (* y z)) (* y z))))
15.2b	(/ (* x (- (* (* 1.0 1.0) 1.0) (* (* (* y z) (* y z)) (* y z)))) (+ (* 1.0 1.0) (+ (* (* y z) (* y z)) (* 1.0 (* y z)))))

rewrite693.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `associate-*r/` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in` `times-frac`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `pow-plus` `flip3--` `div-exp` `prod-diff` `pow3` `associate-/r/` `*-commutative` `flip-+` `flip--` `associate-/l/`
1×	`pow2` `difference-cubes` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `distribute-rgt-out` `swap-sqr` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

42.0ms	(* (* y z) (* y z))
40.0ms	(+ (* (* y z) (* y z)) (* 1.0 (* y z)))
394.0ms	(* x (- (* (* 1.0 1.0) 1.0) (* (* (* y z) (* y z)) (* y z))))
212.0ms	(/ (* x (- (* (* 1.0 1.0) 1.0) (* (* (* y z) (* y z)) (* y z)))) (+ (* 1.0 1.0) (+ (* (* y z) (* y z)) (* 1.0 (* y z)))))

series567.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* y z) (* y z))
84.0ms	(+ (* (* y z) (* y z)) (* 1.0 (* y z)))
174.0ms	(* x (- (* (* 1.0 1.0) 1.0) (* (* (* y z) (* y z)) (* y z))))
274.0ms	(/ (* x (- (* (* 1.0 1.0) 1.0) (* (* (* y z) (* y z)) (* y z)))) (+ (* 1.0 1.0) (+ (* (* y z) (* y z)) (* 1.0 (* y z)))))

simplify2.3s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	2514
1	547
0	180

prune535.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes333.0ms

Accuracy

92.5% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	53
3	53
2	49
1	36
0	19

end0.0ms

sample748.0ms

Algorithm

intervals

Results

393.0ms

9688×

body

valid