Details

sample61.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	32	21
2	71	21
3	183	21
4	344	21
5	598	21
6	951	21
7	1688	21
8	3191	21
9	4792	21
done	5000	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
3.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.8b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite384.0ms

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:

25.0ms	(* (+ x y) z)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
100.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
239.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (+ x y) z)
56.0ms	(+ (* (+ x y) z) (* (+ t y) a))
149.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
846.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.0s

Counts

102 → 102

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	179	2307
1	524	2205
2	2122	2077
done	5000	2077

prune409.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
9.2b	(/ (* y b) (+ (+ x t) y))
21.7b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite233.0ms

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:

34.0ms	(* (+ x y) z)
25.0ms	(+ (* (+ x y) z) (* (+ t y) a))
67.0ms	(/ (* y b) (+ (+ x t) y))
102.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series506.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (+ x y) z)
56.0ms	(+ (* (+ x y) z) (* (+ t y) a))
104.0ms	(/ (* y b) (+ (+ x t) y))
318.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.2s

Counts

118 → 118

Iterations

Useful iterations: 2 (296.0ms)

Iter	Nodes	Cost
0	194	2134
1	538	2038
2	2232	1882
done	5001	1882

prune458.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
8.7b	(/ y (/ (+ (+ x t) y) b))
21.7b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite260.0ms

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:

106.0ms	(/ (+ (+ x t) y) b)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
40.0ms	(/ y (/ (+ (+ x t) y) b))
83.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series666.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (+ (+ x t) y) b)
73.0ms	(+ (* (+ x y) z) (* (+ t y) a))
235.0ms	(/ y (/ (+ (+ x t) y) b))
321.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.4s

Counts

201 → 201

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	284	3770
1	715	3546
2	2736	3368
done	5001	3366

prune654.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x t) y))
2.1b	(+ (* (+ x y) z) (* (+ t y) a))
3.8b	(* (/ y (+ (+ x t) y)) b)
21.7b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite289.0ms

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:

59.0ms	(/ y (+ (+ x t) y))
25.0ms	(+ (* (+ x y) z) (* (+ t y) a))
89.0ms	(* (/ y (+ (+ x t) y)) b)
106.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series672.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ y (+ (+ x t) y))
86.0ms	(+ (* (+ x y) z) (* (+ t y) a))
183.0ms	(* (/ y (+ (+ x t) y)) b)
312.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.0s

Counts

147 → 147

Iterations

Useful iterations: 2 (418.0ms)

Iter	Nodes	Cost
0	208	2547
1	562	2445
2	2157	2275
done	5000	2275

prune455.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.8b

regimes454.0ms

Accuracy

18% (17.8b remaining)

Error of 20.9b against oracle of 3.1b and baseline of 24.8b

bsearch223.0ms

Steps

Iters	Range		Point
7	7.052445380875998e+174	1.588725767713012e+176	7.121581141661449e+174
8	2.500927358240053e-175	2.697825097353736e-171	6.340261835080083e-175
7	-1.5699591568311042e-168	-3.2740150355551514e-170	-6.155686702486673e-170
8	-1.116633309819438e+76	-2.1107077928971596e+72	-6.147203584124048e+75

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	145
1	53	145
done	53	145

end0.0ms

sample1.4s

Algorithm

intervals

Results

940.0ms	7995×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid