Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify88.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.6b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
13×	`distribute-lft-out`
11×	`add-log-exp`
10×	`associate-*l/`
8×	`add-exp-log` `add-cbrt-cube`
7×	`flip3-+` `flip-+`
6×	`pow1`
5×	`associate-/r*`
4×	`associate-l` `frac-add`
3×	`associate-r` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

22.0ms	(* (+ t y) a)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
82.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
176.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ t y) a)
81.0ms	(+ (* (+ x y) z) (* (+ t y) a))
139.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
767.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify83.0ms

Counts: 102 → 102

prune403.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.6b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite418.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

124.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
84.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
185.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series1.2s

Counts

4 → 12

Calls

4 calls:

821.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
84.0ms	(+ (* (+ x y) z) (* (+ t y) a))
149.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
131.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify118.0ms

Counts: 188 → 188

prune761.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.9b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts: 0 → 0

prune31.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.6b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite649.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`associate-r`
17×	`times-frac`
16×	`add-cube-cbrt`
15×	`add-exp-log`
12×	`associate-*l/`
11×	`add-cbrt-cube` `add-log-exp`
10×	`distribute-lft-out`
8×	`pow1`
7×	`flip3-+` `associate-l` `flip-+`
5×	`prod-exp`
4×	`frac-add` `unswap-sqr`
3×	`flip3--` `flip--` `cbrt-unprod`
2×	`frac-times` `diff-log` `div-exp` `pow-prod-down` `sum-log` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `associate--l+` `un-div-inv` `div-inv`

Counts

4 → 98

Calls

4 calls:

21.0ms	(* (+ t y) a)
19.0ms	(+ (* (+ x y) z) (* (+ t y) a))
123.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
482.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
60.0ms	(+ (* (+ x y) z) (* (+ t y) a))
136.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
790.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify68.0ms

Counts: 110 → 110

prune331.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.9b

regimes748.0ms

Accuracy

85.9% (3.4b remaining)

Error of 7.8b against oracle of 4.4b and baseline of 28.3b

bsearch2.0ms

simplify53.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

925.0ms	7997×	body	80	valid
0.0ms	3×	body	320	valid