Details

sample56.0ms

Algorithm

intervals

Results

23.0ms

365×

body

valid

simplify106.0ms

Counts: 1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.8b	(* (* a z) b)

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

33.0ms	(+ (+ x (* y z)) (* t a))
8.0ms	(+ x (* y z))
115.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
41.0ms	(* (* a z) b)

series256.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (+ x (* y z)) (* t a))
26.0ms	(+ x (* y z))
123.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
36.0ms	(* (* a z) b)

simplify682.0ms

Counts: 68 → 68

prune181.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (* z b) t)
0.0b	(+ (+ x (* y z)) (* a (+ (* z b) t)))
3.6b	(* a (+ (* z b) t))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt` `flip3-+` `flip-+`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r/` `add-cbrt-cube`
5×	`sum-log`
4×	`frac-add`
3×	`+-commutative` `associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

5.0ms	(+ x (* y z))
8.0ms	(+ (* z b) t)
28.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
31.0ms	(* a (+ (* z b) t))

series219.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (* y z))
23.0ms	(+ (* z b) t)
106.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
56.0ms	(* a (+ (* z b) t))

simplify783.0ms

Counts: 75 → 75

prune247.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* b a))
0.0b	(+ (* z (+ y (* b a))) x)
0.0b	(+ (+ (* z (+ y (* b a))) x) (* a t))
3.2b	(* z (+ y (* b a)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`sum-log`
4×	`flip3-+` `flip-+`
3×	`+-commutative` `associate-+l+` `associate-r` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

8.0ms	(+ y (* b a))
17.0ms	(+ (* z (+ y (* b a))) x)
70.0ms	(+ (+ (* z (+ y (* b a))) x) (* a t))
30.0ms	(* z (+ y (* b a)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ y (* b a))
90.0ms	(+ (* z (+ y (* b a))) x)
133.0ms	(+ (+ (* z (+ y (* b a))) x) (* a t))
73.0ms	(* z (+ y (* b a)))

simplify685.0ms

Counts: 71 → 71

prune199.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

3.2b	(* z (* (* (cbrt (+ y (* b a))) (cbrt (+ y (* b a)))) (cbrt (+ y (* b a)))))
3.6b	(cbrt (+ y (* b a)))
3.6b	(cbrt (+ y (* b a)))
3.6b	(cbrt (+ y (* b a)))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 86

Calls

4 calls:

213.0ms	(* z (* (* (cbrt (+ y (* b a))) (cbrt (+ y (* b a)))) (cbrt (+ y (* b a)))))
4.0ms	(cbrt (+ y (* b a)))
3.0ms	(cbrt (+ y (* b a)))
3.0ms	(cbrt (+ y (* b a)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* z (* (* (cbrt (+ y (* b a))) (cbrt (+ y (* b a)))) (cbrt (+ y (* b a)))))
144.0ms	(cbrt (+ y (* b a)))
151.0ms	(cbrt (+ y (* b a)))
129.0ms	(cbrt (+ y (* b a)))

simplify1.3s

Counts: 98 → 98

prune454.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes318.0ms

Accuracy

76.7% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.3b

bsearch117.0ms

Steps

Iters	Range		Point
7	3.954211177273152e+25	6.399714273777876e+27	1.6948996679603347e+26
8	-1.0017388168694271e+74	-2.0732937531945762e+71	-1.110831076426874e+72

simplify255.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.1s

11703×

body

valid