Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

267×

body

valid

simplify29.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize15.0ms

Local error

Found 3 expressions with local error:

4.1b	(/ (* y b) t)
6.3b	(/ (* y z) t)
10.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
26×	`times-frac`
21×	`distribute-lft-out`
18×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`pow1` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `add-log-exp`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

9.0ms	(/ (* y b) t)
9.0ms	(/ (* y z) t)
68.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (* y b) t)
19.0ms	(/ (* y z) t)
107.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify785.0ms

Counts

98 → 98

Iterations

Useful iterations: done (782.0ms)

Iter	Nodes	Cost
0	171	1630
1	431	1565
2	1537	1447
done	5000	1443

prune251.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.9b

localize14.0ms

Local error

Found 3 expressions with local error:

4.1b	(* (* y b) (/ 1 t))
6.3b	(/ (* y z) t)
10.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

23.0ms	(* (* y b) (/ 1 t))
9.0ms	(/ (* y z) t)
61.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

series146.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (* y b) (/ 1 t))
19.0ms	(/ (* y z) t)
107.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

simplify959.0ms

Counts

107 → 107

Iterations

Useful iterations: done (956.0ms)

Iter	Nodes	Cost
0	214	1795
1	555	1540
2	1925	1384
done	5001	1376

prune243.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
4.1b	(/ (* y b) t)
6.3b	(/ (* y z) t)
11.0b	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite168.0ms

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:

39.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
9.0ms	(/ (* y b) t)
9.0ms	(/ (* y z) t)
106.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ 1 (+ (+ a 1.0) (/ (* y b) t)))
20.0ms	(/ (* y b) t)
19.0ms	(/ (* y z) t)
107.0ms	(* (+ x (/ (* y z) t)) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify888.0ms

Counts

148 → 148

Iterations

Useful iterations: done (884.0ms)

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

prune327.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
3.4b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.1b	(/ (* y b) t)
11.0b	(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
48×	`*-un-lft-identity` `times-frac`
45×	`associate-r`
39×	`add-exp-log`
32×	`add-cube-cbrt`
28×	`add-cbrt-cube`
14×	`cbrt-prod`
13×	`prod-exp`
11×	`div-exp` `cbrt-unprod`
10×	`cbrt-undiv` `associate-l`
9×	`distribute-lft-out` `unswap-sqr`
8×	`pow1`
4×	`flip3-+` `associate-/r/` `flip-+` `div-inv` `add-log-exp`
3×	`frac-times` `associate-l/` `associate-/r`
2×	`associate-r/` `pow-prod-down` `frac-add` `-commutative`
1×	`rec-exp` `frac-2neg` `pow1/3` `1-exp` `clear-num` `un-div-inv` `associate-/l*`

Counts

4 → 141

Calls

4 calls:

1.0ms	(cbrt t)
41.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
9.0ms	(/ (* y b) t)
93.0ms	(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

series510.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt t)
46.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
23.0ms	(/ (* y b) t)
268.0ms	(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (/ (* y b) t))))

simplify1.3s

Counts

153 → 153

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	296	2931
1	837	2690
2	3358	2020
done	5001	1764

prune418.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.7b

regimes364.0ms

Accuracy

-0% (6.4b remaining)

Error of 16.1b against oracle of 9.8b and baseline of 16.1b

bsearch100.0ms

Steps

Iters	Range		Point
8	2.837440642997327e+45	1.1182838938403824e+50	1.2355444970422663e+48
8	2.8437403524483513e-216	1.899221568095224e-213	3.179542260420924e-214

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	61
1	41	61
done	41	61

end0.0ms

sample705.0ms

Algorithm

intervals

Results

330.0ms

8306×

body

valid