Details

sample48.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify100.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
3.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.0b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite332.0ms

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:

23.0ms	(* (+ t y) a)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
78.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
211.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.3s

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (+ t y) a)
62.0ms	(+ (* (+ x y) z) (* (+ t y) a))
155.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.1s	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Counts: 102 → 102

prune398.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
10.9b	(/ (* y b) (+ (+ x t) y))
22.6b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

21.0ms	(* (+ t y) a)
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
43.0ms	(/ (* y b) (+ (+ x t) y))
87.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series541.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (+ t y) a)
78.0ms	(+ (* (+ x y) z) (* (+ t y) a))
123.0ms	(/ (* y b) (+ (+ x t) y))
310.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify60.0ms

Counts: 118 → 118

prune517.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
10.5b	(/ y (/ (+ (+ x t) y) b))
22.6b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity`
147×	`times-frac`
80×	`add-sqr-sqrt` `add-cube-cbrt`
60×	`distribute-lft-out`
27×	`associate-/r*`
16×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
11×	`associate-/l*`
8×	`frac-add` `associate-/l/`
7×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/`
1×	`+-commutative` `sum-log`

Counts

4 → 189

Calls

4 calls:

115.0ms	(/ (+ (+ x t) y) b)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
42.0ms	(/ y (/ (+ (+ x t) y) b))
117.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series627.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (+ (+ x t) y) b)
80.0ms	(+ (* (+ x y) z) (* (+ t y) a))
207.0ms	(/ y (/ (+ (+ x t) y) b))
304.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify96.0ms

Counts: 201 → 201

prune811.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x t) y))
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
2.7b	(* (/ y (+ (+ x t) y)) b)
22.6b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-l`
17×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 135

Calls

4 calls:

64.0ms	(/ y (+ (+ x t) y))
26.0ms	(+ (* (+ x y) z) (* (+ t y) a))
101.0ms	(* (/ y (+ (+ x t) y)) b)
118.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series685.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ y (+ (+ x t) y))
81.0ms	(+ (* (+ x y) z) (* (+ t y) a))
182.0ms	(* (/ y (+ (+ x t) y)) b)
344.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify63.0ms

Counts: 147 → 147

prune606.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.9b

regimes735.0ms

Accuracy

21.8% (16.5b remaining)

Error of 19.7b against oracle of 3.2b and baseline of 24.3b

bsearch297.0ms

Steps

Iters	Range		Point
9	2.212027743900137e+256	4.665708990567218e+265	3.982002360183062e+263
7	1.8771420208579808e+233	1.1151721456275975e+235	2.176770691227919e+233
10	8.390068829979516e+75	7.282506951779056e+88	4.258714344896704e+80
7	-8.373435852096508e+65	-9.73060470475965e+63	-1.9770205152967977e+65
7	-3.480464505723727e+215	-8.871671321119688e+213	-1.0806850726955622e+214

simplify68.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

833.0ms	7995×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid