Details

sample56.0ms

Algorithm

intervals

Results

30.0ms

256×

body

valid

simplify1.5s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
22.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite392.0ms

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:

35.0ms	(* (+ x y) z)
101.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
231.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series943.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (+ x y) z)
114.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
58.0ms	(+ (* (+ x y) z) (* (+ t y) a))
742.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify966.0ms

Counts: 102 → 102

prune402.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
22.0b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite550.0ms

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:

36.0ms	(* (+ x y) z)
107.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.0ms	(+ (* (+ x y) z) (* (+ t y) a))
375.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series895.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ x y) z)
114.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
57.0ms	(+ (* (+ x y) z) (* (+ t y) a))
700.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify1.1s

Counts: 110 → 110

prune424.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
0.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
22.0b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite507.0ms

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:

167.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
108.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
18.0ms	(+ (* (+ x y) z) (* (+ t y) a))
199.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series1.1s

Counts

4 → 12

Calls

4 calls:

805.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
119.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
55.0ms	(+ (* (+ x y) z) (* (+ t y) a))
170.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify1.3s

Counts: 188 → 188

prune455.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
8.0b	(* (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ (cbrt 1) (cbrt (+ (+ x t) y))))
14.1b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

rewrite680.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt` `times-frac`
71×	`*-un-lft-identity`
68×	`cbrt-prod`
54×	`associate-r`
37×	`add-cube-cbrt`
30×	`add-exp-log`
26×	`cbrt-div`
18×	`flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `distribute-lft-out`
15×	`associate-l`
14×	`unswap-sqr`
13×	`associate-*l/`
11×	`add-log-exp`
9×	`cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-*r/`
4×	`frac-add`
3×	`div-inv` `associate-/l*`
2×	`flip3--` `diff-log` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `frac-2neg` `div-sub` `pow-prod-down` `associate--l+` `clear-num` `associate-/r` `-commutative`

Counts

4 → 168

Calls

4 calls:

76.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
395.0ms	(* (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ (cbrt 1) (cbrt (+ (+ x t) y))))
183.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

series4.2s

Counts

4 → 12

Calls

4 calls:

124.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
54.0ms	(+ (* (+ x y) z) (* (+ t y) a))
728.0ms	(* (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ (cbrt 1) (cbrt (+ (+ x t) y))))
3.3s	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))))

simplify572.0ms

Counts: 180 → 180

prune888.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 3.9b

regimes792.0ms

Accuracy

84.9% (3.3b remaining)

Error of 7.4b against oracle of 4.1b and baseline of 26.1b

bsearch2.0ms

simplify1.4s

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	7997×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	1280	valid