Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

346×

body

valid

simplify127.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1752	4
11	3021	4
12	4541	4
13	5001	4
done	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.5b	(* (/ x y) (- z t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

16.0ms	(+ (* (/ x y) (- z t)) t)
29.0ms	(* (/ x y) (- z t))

series91.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (/ x y) (- z t)) t)
56.0ms	(* (/ x y) (- z t))

simplify35.0ms

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302
done	5002	302

prune127.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
0.0b	(+ (* (/ x y) z) (* (/ x y) (- t)))
3.4b	(* (/ x y) z)
4.8b	(* (/ x y) (- t))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`add-log-exp`
8×	`pow1`
5×	`distribute-rgt-neg-out`
4×	`associate-*l/` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3-+` `div-exp` `unsub-neg` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `distribute-lft-out`
1×	`neg-mul-1` `associate-+l+` `frac-add`

Counts

4 → 103

Calls

4 calls:

48.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
14.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
14.0ms	(* (/ x y) z)
19.0ms	(* (/ x y) (- t))

series131.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (+ (* (/ x y) z) (* (/ x y) (- t))) t)
49.0ms	(+ (* (/ x y) z) (* (/ x y) (- t)))
21.0ms	(* (/ x y) z)
23.0ms	(* (/ x y) (- t))

simplify58.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	481	608
1	2207	531
2	5001	529
done	5001	529

prune256.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ (- z t) y)) t)
0.0b	(/ (- z t) y)
5.4b	(* x (/ (- z t) y))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

13.0ms	(+ (* x (/ (- z t) y)) t)
16.0ms	(/ (- z t) y)
29.0ms	(* x (/ (- z t) y))

series112.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x (/ (- z t) y)) t)
27.0ms	(/ (- z t) y)
50.0ms	(* x (/ (- z t) y))

simplify41.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	342	501
1	1379	468
2	5001	456
done	5001	456

prune188.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.0b	(* x (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt y) (cbrt y))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-sqr-sqrt`
15×	`cbrt-prod` `*-un-lft-identity`
14×	`add-cbrt-cube`
9×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`pow1` `cbrt-div`
5×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`times-frac` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
59.0ms	(* x (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt y) (cbrt y))))

series607.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- z t))
141.0ms	(cbrt (- z t))
144.0ms	(cbrt (- z t))
173.0ms	(* x (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt y) (cbrt y))))

simplify46.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	432	761
1	1678	655
2	5001	619
done	5001	619

prune282.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	20	7
2	23	7
3	23	7
done	23	7

end0.0ms

sample638.0ms

Algorithm

intervals

Results

261.0ms

10903×

body

valid