Details

sample42.0ms

Algorithm

intervals

Results

22.0ms

265×

body

valid

simplify41.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	38	17
3	46	17
4	48	17
done	48	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.2b	(/ (* y b) t)
4.9b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

15.0ms	(+ x (/ (* y z) t))
10.0ms	(/ (* y b) t)
12.0ms	(/ (* y z) t)
121.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ (* y z) t))
34.0ms	(/ (* y b) t)
20.0ms	(/ (* y z) t)
176.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	179	1803
1	453	1721
2	1585	1599
done	5000	1595

prune511.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ 1 (/ t (* y b)))
3.1b	(/ t (* y b))
4.9b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
67×	`times-frac`
38×	`distribute-lft-out`
37×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
25×	`add-cbrt-cube`
18×	`associate-/r*` `div-inv`
17×	`div-exp`
11×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

33.0ms	(/ 1 (/ t (* y b)))
16.0ms	(/ t (* y b))
24.0ms	(/ (* y z) t)
133.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series286.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (/ t (* y b)))
42.0ms	(/ t (* y b))
25.0ms	(/ (* y z) t)
179.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify1.4s

Counts

167 → 167

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	242	2680
1	583	2463
2	1853	2113
done	5001	2093

prune469.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (/ 1 t)))
3.2b	(/ (* y b) t)
5.0b	(* (* y z) (/ 1 t))
10.5b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
33×	`add-exp-log`
27×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
13×	`associate-r` `prod-exp`
12×	`distribute-lft-out`
9×	`pow1`
8×	`associate-/r*`
7×	`div-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`cbrt-undiv`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`pow-prod-down` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `frac-add` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative`

Counts

4 → 111

Calls

4 calls:

6.0ms	(+ x (* (* y z) (/ 1 t)))
10.0ms	(/ (* y b) t)
36.0ms	(* (* y z) (/ 1 t))
66.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ x (* (* y z) (/ 1 t)))
32.0ms	(/ (* y b) t)
24.0ms	(* (* y z) (/ 1 t))
131.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.1s

Counts

123 → 123

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	215	2033
1	568	1699
2	1953	1539
done	5000	1535

prune384.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x)))
3.2b	(/ (* y b) t)
4.9b	(/ (* y z) t)
10.5b	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

243×	`*-un-lft-identity`
184×	`times-frac`
89×	`distribute-lft-out`
86×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`associate-/r*`
27×	`add-exp-log`
21×	`add-cbrt-cube`
12×	`div-exp`
11×	`associate-/r/`
10×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
7×	`flip3-+` `flip-+`
5×	`pow1`
4×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`rec-exp` `1-exp` `frac-add` `prod-exp` `cbrt-unprod`
1×	`pow-flip` `inv-pow`

Counts

4 → 217

Calls

4 calls:

82.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x)))
10.0ms	(/ (* y b) t)
10.0ms	(/ (* y z) t)
152.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x))

series591.0ms

Counts

4 → 12

Calls

4 calls:

434.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x)))
34.0ms	(/ (* y b) t)
31.0ms	(/ (* y z) t)
91.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ (/ (* y z) t) x))

simplify1.1s

Counts

229 → 229

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	271	5686
1	646	5167
2	2032	4780
done	5000	4742

prune421.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.3b

regimes525.0ms

Accuracy

15% (4.3b remaining)

Error of 15.2b against oracle of 10.9b and baseline of 15.9b

bsearch152.0ms

Steps

Iters	Range		Point
6	7.547811988297118e-75	3.4231546050402817e-74	2.8996868265395155e-74
9	-3.6466915858609103e-28	-6.077196353407552e-36	-6.063981578832086e-35

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	98
1	41	98
done	41	98

end0.0ms

sample1.7s

Algorithm

intervals

Results

759.0ms

8274×

body

valid