Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

353×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	4996
9	1057
8	401
7	189
6	164
5	133
4	96
3	57
2	31
1	14
0	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

24.0ms	(+ (* (/ x y) (- z t)) t)
49.0ms	(* (/ x y) (- z t))

series144.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* (/ x y) (- z t)) t)
80.0ms	(* (/ x y) (- z t))

simplify692.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1389
1	328
0	122

prune306.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ x y) z) (* (- t) (/ x y)))
0.0b	(+ (+ (* (/ x y) z) (* (- t) (/ x y))) t)
2.8b	(* (- t) (/ x y))
3.5b	(* (/ x y) z)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

9.0ms	(+ (* (/ x y) z) (* (- t) (/ x y)))
51.0ms	(+ (+ (* (/ x y) z) (* (- t) (/ x y))) t)
15.0ms	(* (- t) (/ x y))
12.0ms	(* (/ x y) z)

series176.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* (/ x y) z) (* (- t) (/ x y)))
52.0ms	(+ (+ (* (/ x y) z) (* (- t) (/ x y))) t)
31.0ms	(* (- t) (/ x y))
30.0ms	(* (/ x y) z)

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	2939
1	514
0	175

prune601.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ x y) z) (* (- t) (/ x y)))
0.0b	(+ (+ (* (/ x y) z) (* (- t) (/ x y))) t)
2.8b	(* (- t) (/ x y))
3.5b	(* (/ x y) z)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

9.0ms	(+ (* (/ x y) z) (* (- t) (/ x y)))
66.0ms	(+ (+ (* (/ x y) z) (* (- t) (/ x y))) t)
18.0ms	(* (- t) (/ x y))
18.0ms	(* (/ x y) z)

series173.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (* (/ x y) z) (* (- t) (/ x y)))
40.0ms	(+ (+ (* (/ x y) z) (* (- t) (/ x y))) t)
26.0ms	(* (- t) (/ x y))
27.0ms	(* (/ x y) z)

simplify1.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	2939
1	514
0	175

prune687.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (/ x y) z)
8.9b	(cbrt (/ x y))
8.9b	(cbrt (/ x y))
8.9b	(cbrt (/ x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
38×	`add-sqr-sqrt`
37×	`times-frac`
33×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 98

Calls

4 calls:

12.0ms	(* (/ x y) z)
2.0ms	(cbrt (/ x y))
3.0ms	(cbrt (/ x y))
10.0ms	(cbrt (/ x y))

series264.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (/ x y) z)
85.0ms	(cbrt (/ x y))
75.0ms	(cbrt (/ x y))
81.0ms	(cbrt (/ x y))

simplify569.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	967
1	244
0	121

prune806.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes290.0ms

Accuracy

0% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	43
3	43
2	40
1	30
0	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

517.0ms

10710×

body

valid