Details

sample50.0ms

Algorithm

intervals

Results

18.0ms	255×	body	80	valid
3.0ms	16×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	9×	body	160	valid
1.0ms	2×	body	2560	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	111	13
4	292	13
5	864	13
6	3373	13
done	5000	13

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.0b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.5b	(/ (* (- y x) (- z t)) (- a t))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `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`
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 → 81

Calls

3 calls:

57.0ms	(* (- y x) (- z t))
48.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
41.0ms	(/ (* (- y x) (- z t)) (- a t))

series496.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* (- y x) (- z t))
284.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
160.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify2.0s

Counts

90 → 90

Iterations

Useful iterations: 2 (375.0ms)

Iter	Nodes	Cost
0	162	1284
1	480	1213
2	2662	1111
done	5000	1111

prune662.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.6b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(* (- y x) (/ (- z t) (- a t)))
3.0b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

47.0ms	(/ (- z t) (- a t))
91.0ms	(* (- y x) (/ (- z t) (- a t)))
17.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series530.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (- z t) (- a t))
170.0ms	(* (- y x) (/ (- z t) (- a t)))
277.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.9s

Counts

128 → 128

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	183	1813
1	504	1716
2	2628	1612
done	5000	1606

prune769.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.7b	(/ (- y x) (/ (- a t) (- z t)))
3.0b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

35.0ms	(/ (- a t) (- z t))
45.0ms	(/ (- y x) (/ (- a t) (- z t)))
107.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series682.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (- a t) (- z t))
343.0ms	(/ (- y x) (/ (- a t) (- z t)))
270.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify600.0ms

Counts

283 → 283

Iterations

Useful iterations: done (591.0ms)

Iter	Nodes	Cost
0	354	5984
1	1152	5679
done	5001	5493

prune1.4s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.5b

localize61.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.6b	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t))))
9.3b	(+ x (* (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

rewrite542.0ms

Algorithm

rewrite-expression-head

Rules

716×	`times-frac`
597×	`add-sqr-sqrt`
556×	`*-un-lft-identity`
450×	`cbrt-prod`
373×	`associate-r`
252×	`add-cube-cbrt`
152×	`distribute-lft-out--` `difference-of-squares`
73×	`add-exp-log`
34×	`add-cbrt-cube`
27×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
25×	`associate-/r/`
16×	`cbrt-div` `flip3--` `flip--`
14×	`unswap-sqr`
13×	`associate-l`
10×	`div-inv`
6×	`pow1` `add-log-exp`
5×	`frac-times`
3×	`associate-r/` `associate-l/`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 483

Calls

4 calls:

7.0ms	(cbrt (- a t))
8.0ms	(cbrt (- a t))
436.0ms	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t))))
12.0ms	(+ x (* (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

series901.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- a t))
154.0ms	(cbrt (- a t))
294.0ms	(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t))))
262.0ms	(+ x (* (/ (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

simplify2.1s

Counts

495 → 495

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	750	17955
1	2895	16912
done	5000	15584

prune2.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.5b

regimes474.0ms

Accuracy

0% (7.7b remaining)

Error of 11.6b against oracle of 3.9b and baseline of 11.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	13	13
done	13	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

819.0ms	7789×	body	80	valid
89.0ms	265×	body	1280	valid
85.0ms	483×	body	640	valid
52.0ms	410×	body	320	valid
49.0ms	253×	body	160	valid
4.0ms	16×	body	2560	valid