Details

sample45.0ms

Algorithm

intervals

Results

19.0ms

260×

body

valid

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 17.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.3b	(/ (* y b) t)
5.5b	(/ (* y z) t)
13.1b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite192.0ms

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:

22.0ms	(+ x (/ (* y z) t))
21.0ms	(/ (* y b) t)
21.0ms	(/ (* y z) t)
121.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ x (/ (* y z) t))
22.0ms	(/ (* y b) t)
32.0ms	(/ (* y z) t)
183.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.2s

Counts

113 → 113

Iterations

Useful iterations: done (1.2s)

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

prune500.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
3.3b	(/ (* y b) t)
4.1b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
13.1b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
46×	`times-frac`
32×	`add-exp-log` `add-cube-cbrt`
25×	`add-cbrt-cube`
22×	`associate-r`
14×	`cbrt-prod`
12×	`distribute-lft-out`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/r*`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`associate-/r/` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/`
1×	`frac-times` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 132

Calls

4 calls:

1.0ms	(cbrt t)
15.0ms	(/ (* y b) t)
79.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
98.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series717.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt t)
32.0ms	(/ (* y b) t)
67.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
345.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.7s

Counts

144 → 144

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	263	2807
1	715	2702
2	2871	2076
done	5000	1820

prune710.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
3.3b	(/ (* y b) t)
5.5b	(/ (* y z) t)
12.9b	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
38×	`times-frac`
35×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`associate-r`
22×	`distribute-lft-out`
21×	`add-cbrt-cube`
11×	`associate-/r*`
8×	`div-exp` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `flip3-+` `prod-exp` `flip-+`
5×	`associate-/l*`
4×	`associate-l` `frac-add` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`frac-2neg` `clear-num` `unswap-sqr`
2×	`frac-times` `rec-exp` `1-exp` `associate-*l/`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 136

Calls

4 calls:

75.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
18.0ms	(/ (* y b) t)
17.0ms	(/ (* y z) t)
171.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series297.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
31.0ms	(/ (* y b) t)
29.0ms	(/ (* y z) t)
153.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify1.2s

Counts

148 → 148

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	217	2340
1	567	2076
2	2040	1874
done	5000	1866

prune578.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 11.3b

localize49.0ms

Local error

Found 4 expressions with local error:

12.9b	(* (+ x (/ (* y z) t)) (* (* (cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t)))) (cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))) (cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))))
12.9b	(cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))
12.9b	(cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))
12.9b	(cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite966.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
69×	`cbrt-prod`
45×	`times-frac`
39×	`cbrt-div`
32×	`add-sqr-sqrt` `add-cube-cbrt`
29×	`frac-times`
28×	`distribute-lft-out`
17×	`associate-*l/`
16×	`associate-*r/`
14×	`flip3-+` `flip-+`
13×	`pow1` `add-exp-log`
12×	`associate-/r/`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod`
4×	`associate-l` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 141

Calls

4 calls:

880.0ms	(* (+ x (/ (* y z) t)) (* (* (cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t)))) (cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))) (cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))))
31.0ms	(cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))
23.0ms	(cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))
24.0ms	(cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series754.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (+ x (/ (* y z) t)) (* (* (cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t)))) (cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))) (cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))))
179.0ms	(cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))
248.0ms	(cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))
201.0ms	(cbrt (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify1.5s

Counts

153 → 153

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	232	5076
1	576	4681
2	1673	3764
done	5000	3598

prune545.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 11.3b

regimes618.0ms

Accuracy

47.6% (3.5b remaining)

Error of 14.0b against oracle of 10.5b and baseline of 17.2b

bsearch147.0ms

Steps

Iters	Range		Point
8	1.1217799696899636e-13	1.4060273304929084e-10	9.942136300078202e-11
7	-5.757500349107279e-84	-5.0293888753400674e-86	-3.1236623354192352e-84

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	68
1	48	68
done	48	68

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

8272×

body

valid