Details

sample60.0ms

Algorithm

intervals

Results

28.0ms

256×

body

valid

simplify1.6s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.5b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
22.5b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite295.0ms

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)
77.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
180.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ t y) a)
156.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
87.0ms	(+ (* (+ x y) z) (* (+ t y) a))
837.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify795.0ms

Counts: 102 → 102

prune339.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
10.2b	(/ (* y b) (+ (+ x t) y))
18.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite150.0ms

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)
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
39.0ms	(/ (* y b) (+ (+ x t) y))
73.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series429.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (+ t y) a)
65.0ms	(+ (* (+ x y) z) (* (+ t y) a))
86.0ms	(/ (* y b) (+ (+ x t) y))
244.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify930.0ms

Counts: 118 → 118

prune521.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
6.3b	(* y (/ b (+ (+ x t) y)))
18.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
31×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
22×	`distribute-lft-out`
18×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`pow1` `frac-add`
7×	`associate-l`
6×	`associate-/l/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-*r/` `clear-num` `sum-log`

Counts

4 → 119

Calls

4 calls:

31.0ms	(* (+ t y) a)
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
80.0ms	(* y (/ b (+ (+ x t) y)))
99.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series535.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (+ t y) a)
78.0ms	(+ (* (+ x y) z) (* (+ t y) a))
94.0ms	(* y (/ b (+ (+ x t) y)))
328.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.1s

Counts: 131 → 131

prune516.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
3.0b	(* (/ y (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ b (cbrt (+ (+ x t) y))))
18.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite599.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
53×	`cbrt-prod`
49×	`times-frac`
45×	`distribute-lft-out`
39×	`add-cube-cbrt`
38×	`associate-r`
29×	`add-exp-log`
26×	`cbrt-div`
24×	`flip3-+` `flip-+`
23×	`associate-l`
21×	`associate-*l/`
20×	`add-cbrt-cube`
14×	`swap-sqr`
13×	`pow1`
12×	`associate-/r/`
10×	`unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`cbrt-undiv` `div-exp` `frac-add`
6×	`pow1/3` `associate-/l/` `add-log-exp`
5×	`associate-r/` `associate-/r`
3×	`pow-prod-down` `div-inv` `associate-/l*`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `pow2` `frac-2neg` `pow-plus` `clear-num` `sum-log`

Counts

4 → 193

Calls

4 calls:

154.0ms	(* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))
24.0ms	(+ (* (+ x y) z) (* (+ t y) a))
311.0ms	(* (/ y (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ b (cbrt (+ (+ x t) y))))
101.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series866.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))
70.0ms	(+ (* (+ x y) z) (* (+ t y) a))
206.0ms	(* (/ y (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ b (cbrt (+ (+ x t) y))))
285.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.7s

Counts: 205 → 205

prune980.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.1b

regimes607.0ms

Accuracy

14.9% (17.4b remaining)

Error of 20.6b against oracle of 3.3b and baseline of 23.7b

bsearch214.0ms

Steps

Iters	Range		Point
9	1.670902194138868e+164	1.1794214680334793e+169	1.9789658189585288e+164
7	1.1123608404219835e-45	5.613152505814407e-44	1.908584443905938e-45
8	2.738154310568617e-214	6.18762057606548e-211	5.325165846082586e-212
8	-2.95797388004145e+163	-4.4874797001979404e+160	-1.3293516713796004e+162

simplify942.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

663.0ms	7995×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid