Details

sample43.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 26.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.6b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite315.0ms

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	(* (+ x y) z)
29.0ms	(+ (* (+ x y) z) (* (+ t y) a))
78.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
185.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (+ x y) z)
79.0ms	(+ (* (+ x y) z) (* (+ t y) a))
160.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
806.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.0s

Counts

102 → 102

Iterations

Useful iterations: 2 (307.0ms)

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

prune384.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
7.0b	(/ (* y b) (+ (+ x t) y))
22.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite180.0ms

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:

38.0ms	(* (+ x y) z)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
41.0ms	(/ (* y b) (+ (+ x t) y))
77.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series477.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (+ x y) z)
71.0ms	(+ (* (+ x y) z) (* (+ t y) a))
90.0ms	(/ (* y b) (+ (+ x t) y))
287.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.3s

Counts

118 → 118

Iterations

Useful iterations: 2 (293.0ms)

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

prune485.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ b (+ (+ x t) y))
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
8.2b	(* y (/ b (+ (+ x t) y)))
22.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite258.0ms

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-r`
16×	`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-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-r/` `pow-prod-down` `sum-log` `-commutative`

Counts

4 → 135

Calls

4 calls:

56.0ms	(/ b (+ (+ x t) y))
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
97.0ms	(* y (/ b (+ (+ x t) y)))
85.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series570.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ b (+ (+ x t) y))
78.0ms	(+ (* (+ x y) z) (* (+ t y) a))
121.0ms	(* y (/ b (+ (+ x t) y)))
303.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify892.0ms

Counts

147 → 147

Iterations

Useful iterations: 2 (288.0ms)

Iter	Nodes	Cost
0	203	2543
1	546	2415
2	2087	2247
done	5001	2247

prune544.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
8.5b	(/ y (/ (+ (+ x t) y) b))
22.0b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite320.0ms

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:

104.0ms	(/ (+ (+ x t) y) b)
26.0ms	(+ (* (+ x y) z) (* (+ t y) a))
72.0ms	(/ y (/ (+ (+ x t) y) b))
106.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series514.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (+ (+ x t) y) b)
63.0ms	(+ (* (+ x y) z) (* (+ t y) a))
163.0ms	(/ y (/ (+ (+ x t) y) b))
257.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.3s

Counts

201 → 201

Iterations

Useful iterations: done (1.3s)

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

prune646.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

regimes534.0ms

Accuracy

13.3% (18.1b remaining)

Error of 21.3b against oracle of 3.2b and baseline of 24.1b

bsearch375.0ms

Steps

Iters	Range		Point
9	2.1803922908798076e+171	7.072525562547444e+178	7.771333049681688e+171
7	5.9441740639567975e-127	7.43629017999154e-125	1.1109812864093013e-125
8	-3.573736598920861e-281	-2.393187721161772e-285	-1.1697432588930248e-281
9	-5.320099813365907e-147	-4.4799452299119005e-156	-1.1186437150469275e-149
8	-3.308581562083972e-50	-2.7093398866571204e-53	-1.3750283862412348e-50
10	-3.1218882103167235e+194	-1.2128916191228806e+181	-1.343517699116082e+182

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	153
1	57	153
done	57	153

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid