Details

sample22.0ms

Algorithm

intervals

Results

7.0ms	278×	body	80	valid
0.0ms	1×	body	640	valid

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5
done	932	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
13.4b	(/ (* y (- z t)) (- a t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

20.0ms	(* y (- z t))
19.0ms	(+ x (/ (* y (- z t)) (- a t)))
25.0ms	(/ (* y (- z t)) (- a t))

series194.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* y (- z t))
87.0ms	(+ x (/ (* y (- z t)) (- a t)))
70.0ms	(/ (* y (- z t)) (- a t))

simplify40.0ms

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	334	381
1	1437	342
2	5001	342
done	5001	342

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

58.0ms	(+ x (/ y (/ (- a t) (- z t))))
21.0ms	(/ (- a t) (- z t))
23.0ms	(/ y (/ (- a t) (- z t)))

series322.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(+ x (/ y (/ (- a t) (- z t))))
53.0ms	(/ (- a t) (- z t))
148.0ms	(/ y (/ (- a t) (- z t)))

simplify71.0ms

Counts

215 → 215

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5002	1832
done	5002	1832

prune469.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
2.4b	(/ y (* (- a t) (/ 1 (- z t))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
35×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/`
8×	`prod-exp` `distribute-lft-out--` `difference-of-squares`
7×	`pow1`
6×	`cbrt-undiv` `flip3--` `associate-/r` `flip--` `associate-/l` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `un-div-inv`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 134

Calls

4 calls:

17.0ms	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
12.0ms	(/ 1 (- z t))
46.0ms	(* (- a t) (/ 1 (- z t)))
20.0ms	(/ y (* (- a t) (/ 1 (- z t))))

series362.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ x (/ y (* (- a t) (/ 1 (- z t)))))
35.0ms	(/ 1 (- z t))
54.0ms	(* (- a t) (/ 1 (- z t)))
150.0ms	(/ y (* (- a t) (/ 1 (- z t))))

simplify55.0ms

Counts

146 → 146

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	470	830
1	2078	716
2	5001	669
done	5001	669

prune276.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t))))
3.8b	(cbrt (/ (- a t) (- z t)))
3.8b	(cbrt (/ (- a t) (- z t)))
3.8b	(cbrt (/ (- a t) (- z t)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

94.0ms	(* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t))))
12.0ms	(cbrt (/ (- a t) (- z t)))
9.0ms	(cbrt (/ (- a t) (- z t)))
9.0ms	(cbrt (/ (- a t) (- z t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t))))
310.0ms	(cbrt (/ (- a t) (- z t)))
310.0ms	(cbrt (/ (- a t) (- z t)))
312.0ms	(cbrt (/ (- a t) (- z t)))

simplify71.0ms

Counts

288 → 288

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	543	3638
1	1744	3570
2	5001	3366
done	5001	3366

prune797.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes183.0ms

Accuracy

50.5% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.4b

bsearch57.0ms

Steps

Iters	Range		Point
7	4.800546782383864e-165	5.105946738504773e-163	4.594501379393756e-163
7	-5.2507390764543124e-120	-8.059148992176595e-122	-6.414154112854105e-121

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11
done	30	11

end0.0ms

sample611.0ms

Algorithm

intervals

Results

246.0ms	8784×	body	80	valid
0.0ms	1×	body	640	valid