Details

sample57.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4555
5	2129
4	576
3	183
2	71
1	32
0	16

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (+ y t))
1.8b	(+ (* a (+ y t)) (* (+ y x) z))
2.4b	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
23.0b	(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

rewrite316.0ms

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`
8×	`add-cbrt-cube` `add-exp-log`
7×	`flip3-+` `flip-+`
6×	`pow1` `associate-*r/`
5×	`associate-/r*`
4×	`associate-r` `associate-*l/` `frac-add`
3×	`associate-l` `associate-/l*`
2×	`distribute-rgt-in` `associate-+l+` `sum-log` `distribute-lft-in` `flip3--` `diff-log` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sub-neg` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

24.0ms	(* a (+ y t))
18.0ms	(+ (* a (+ y t)) (* (+ y x) z))
90.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
181.0ms	(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

series502.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* a (+ y t))
80.0ms	(+ (* a (+ y t)) (* (+ y x) z))
145.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
237.0ms	(/ (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)) (+ x (+ y t)))

simplify1.6s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	2572
1	567
0	185

prune818.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))
1.8b	(+ (* a (+ y t)) (* (+ y x) z))
2.4b	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
23.0b	(/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/` `add-log-exp`
8×	`div-exp` `associate-/l*`
6×	`flip3-+` `flip3--` `flip-+` `div-inv` `flip--`
5×	`pow1`
4×	`cbrt-undiv` `associate-l/` `frac-add` `associate-r/`
2×	`rec-exp` `associate-+l+` `clear-num` `sum-log` `frac-2neg` `diff-log` `1-exp` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `sub-neg` `distribute-lft-in` `associate--l+` `pow-flip` `inv-pow`

Counts

4 → 178

Calls

4 calls:

129.0ms	(/ 1 (/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))
17.0ms	(+ (* a (+ y t)) (* (+ y x) z))
85.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
117.0ms	(/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

765.0ms	(/ 1 (/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))
73.0ms	(+ (* a (+ y t)) (* (+ y x) z))
135.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
116.0ms	(/ (+ x (+ y t)) (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))

simplify2.0s

Counts

190 → 190

Iterations

Iter	Nodes
done	5001
2	4564
1	776
0	263

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ y x) t))
1.8b	(+ (* (+ y t) a) (* z (+ y x)))
2.4b	(- (+ (* (+ y t) a) (* z (+ y x))) (* y b))
23.1b	(* (/ 1 (+ (+ y x) t)) (- (+ (* (+ y t) a) (* z (+ y x))) (* y b)))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-l` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`associate-*r/`
5×	`associate-/r` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`sub-neg` `flip3--` `associate-r` `associate--l+` `flip--` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `associate-+r+` `sum-log` `diff-log` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `clear-num` `frac-2neg` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 125

Calls

4 calls:

31.0ms	(/ 1 (+ (+ y x) t))
18.0ms	(+ (* (+ y t) a) (* z (+ y x)))
59.0ms	(- (+ (* (+ y t) a) (* z (+ y x))) (* y b))
222.0ms	(* (/ 1 (+ (+ y x) t)) (- (+ (* (+ y t) a) (* z (+ y x))) (* y b)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ 1 (+ (+ y x) t))
57.0ms	(+ (* (+ y t) a) (* z (+ y x)))
148.0ms	(- (+ (* (+ y t) a) (* z (+ y x))) (* y b))
276.0ms	(* (/ 1 (+ (+ y x) t)) (- (+ (* (+ y t) a) (* z (+ y x))) (* y b)))

simplify1.9s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	4223
1	658
0	209

prune618.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ 1 (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))
1.8b	(+ (* a (+ y t)) (* (+ y x) z))
2.4b	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
22.0b	(/ (/ 1 (+ x (+ y t))) (/ 1 (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

762×	`times-frac`
550×	`*-un-lft-identity`
310×	`add-sqr-sqrt` `add-cube-cbrt`
144×	`distribute-lft-out`
79×	`associate-/r/`
48×	`add-exp-log`
40×	`div-inv`
34×	`div-exp`
24×	`flip3--` `flip--` `associate-/l*`
21×	`flip3-+` `flip-+`
18×	`associate-/r*` `add-cbrt-cube`
11×	`add-log-exp`
9×	`cbrt-undiv` `rec-exp` `1-exp`
5×	`pow1`
4×	`associate-l/` `frac-add` `associate-r/`
2×	`associate-+l+` `clear-num` `sum-log` `frac-2neg` `diff-log`
1×	`distribute-rgt-in` `+-commutative` `sub-neg` `distribute-lft-in` `associate--l+` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 447

Calls

4 calls:

60.0ms	(/ 1 (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))
11.0ms	(+ (* a (+ y t)) (* (+ y x) z))
57.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
110.0ms	(/ (/ 1 (+ x (+ y t))) (/ 1 (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))

series847.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ 1 (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y)))
53.0ms	(+ (* a (+ y t)) (* (+ y x) z))
106.0ms	(- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))
613.0ms	(/ (/ 1 (+ x (+ y t))) (/ 1 (- (+ (* a (+ y t)) (* (+ y x) z)) (* b y))))

simplify1.5s

Counts

459 → 459

Iterations

Iter	Nodes
done	5001
1	2142
0	595

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.7b

regimes686.0ms

Accuracy

48.4% (11.6b remaining)

Error of 16.0b against oracle of 4.5b and baseline of 26.8b

bsearch224.0ms

Steps

Iters	Range		Point
11	4.0721326822252617e+40	1.022342862720565e+63	3.3861281284597196e+60
9	-2.0076717784505904e+49	-6.499354134947939e+42	-2.3109830578270404e+48
10	-2.2840861367093013e+101	-1.408724127355391e+91	-2.073956642809604e+98
5	-7.0159311393260055e+140	-1.9128038684460106e+140	-1.9674995841746742e+140

simplify1.2s

Iterations

Iter	Nodes
done	5001
13	3100
12	1065
11	650
10	235
9	172
8	116
7	92
6	75
5	62
4	56
3	53
2	47
1	44
0	31

end0.0ms

sample1.4s

Algorithm

intervals

Results

889.0ms	7996×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid