Details

sample33.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify93.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
2.8b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.9b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite297.0ms

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:

20.0ms	(* (+ t y) a)
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
75.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
184.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series820.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ t y) a)
56.0ms	(+ (* (+ x y) z) (* (+ t y) a))
107.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
634.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify58.0ms

Counts: 102 → 102

prune328.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
10.0b	(/ (* y b) (+ (+ x t) y))
22.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite152.0ms

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:

20.0ms	(* (+ t y) a)
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
39.0ms	(/ (* y b) (+ (+ x t) y))
75.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series382.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (+ t y) a)
54.0ms	(+ (* (+ x y) z) (* (+ t y) a))
76.0ms	(/ (* y b) (+ (+ x t) y))
230.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify59.0ms

Counts: 118 → 118

prune342.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
7.7b	(/ y (/ (+ (+ x t) y) b))
22.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 173

Calls

4 calls:

19.0ms	(* (+ t y) a)
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
38.0ms	(/ y (/ (+ (+ x t) y) b))
72.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series450.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (+ t y) a)
55.0ms	(+ (* (+ x y) z) (* (+ t y) a))
141.0ms	(/ y (/ (+ (+ x t) y) b))
232.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify77.0ms

Counts: 185 → 185

prune504.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x t) y))
1.1b	(+ (* (+ x y) z) (* (+ t y) a))
3.9b	(* (/ y (+ (+ x t) y)) b)
22.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite200.0ms

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:

32.0ms	(/ y (+ (+ x t) y))
14.0ms	(+ (* (+ x y) z) (* (+ t y) a))
74.0ms	(* (/ y (+ (+ x t) y)) b)
74.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series496.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ y (+ (+ x t) y))
52.0ms	(+ (* (+ x y) z) (* (+ t y) a))
146.0ms	(* (/ y (+ (+ x t) y)) b)
233.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify57.0ms

Counts: 147 → 147

prune397.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.3b

regimes468.0ms

Accuracy

14.3% (18.1b remaining)

Error of 21.2b against oracle of 3.1b and baseline of 24.2b

bsearch717.0ms

Steps

Iters	Range		Point
9	9.837508719486756e+151	9.592870701492407e+158	6.073700898962843e+156
8	4.314425234779402e+75	1.617181673311282e+78	4.37487584608003e+75
9	1.506996216864462e+41	4.102849324154966e+46	1.8032136819243252e+46
7	2.1309562285068829e-88	2.2658754287952423e-86	6.431391600986252e-87
8	2.6017338913870848e-120	2.817851360028421e-117	5.356824973557869e-118
10	1.2459607804130146e-203	8.203285378487517e-194	8.687119915670658e-203
7	-4.6326352772174306e+26	-1.7713372914321514e+25	-1.9299645594025082e+25
9	-1.2842244847351406e+82	-4.2397718903671576e+75	-5.2119391638609135e+78
9	-1.2820583424267329e+138	-2.997560780432128e+131	-4.807903299930363e+135

simplify2.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

649.0ms	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid