Details

sample40.0ms

Algorithm

intervals

Results

15.0ms

351×

body

valid

simplify735.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	46	9
4	85	9
5	114	9
6	129	9
7	142	9
8	175	9
9	232	9
10	261	9
11	298	9
12	329	9
13	339	9
done	339	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
8.5b	(/ (* y (- z t)) a)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

16.0ms	(+ x (/ (* y (- z t)) a))
35.0ms	(* y (- z t))
21.0ms	(/ (* y (- z t)) a)

series215.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ x (/ (* y (- z t)) a))
51.0ms	(* y (- z t))
81.0ms	(/ (* y (- z t)) a)

simplify2.5s

Counts

70 → 70

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	116	722
1	297	679
2	909	589
3	4421	589
done	5001	589

prune251.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
6.2b	(/ y (/ a (- z t)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

49.0ms	(+ x (/ y (/ a (- z t))))
20.0ms	(/ a (- z t))
23.0ms	(/ y (/ a (- z t)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ x (/ y (/ a (- z t))))
35.0ms	(/ a (- z t))
72.0ms	(/ y (/ a (- z t)))

simplify1.6s

Counts

160 → 160

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	245	2291
1	534	2136
2	1799	2056
done	5000	2026

prune629.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y a) (- z t)))
6.4b	(* (/ y a) (- z t))

rewrite46.0ms

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-+r+` `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:

8.0ms	(+ x (* (/ y a) (- z t)))
36.0ms	(* (/ y a) (- z t))

series149.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ x (* (/ y a) (- z t)))
83.0ms	(* (/ y a) (- z t))

simplify3.3s

Counts

63 → 63

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	123	723
1	321	691
2	1033	619
3	4023	619
done	5000	619

prune141.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) a)))
0.0b	(/ (- z t) a)
5.9b	(* y (/ (- z t) a))

rewrite69.0ms

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:

19.0ms	(+ x (* y (/ (- z t) a)))
16.0ms	(/ (- z t) a)
28.0ms	(* y (/ (- z t) a))

series165.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ x (* y (/ (- z t) a)))
31.0ms	(/ (- z t) a)
66.0ms	(* y (/ (- z t) a))

simplify2.8s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	139	1051
1	341	980
2	991	914
3	3797	890
done	5000	890

prune317.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes318.0ms

Accuracy

-1% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch75.0ms

Steps

Iters	Range		Point
4	4.426396961664634e-235	7.290431146413962e-235	4.7957580216954454e-235
8	-1.2676931183322793e-288	-1.311295523796422e-291	-2.7878949931611257e-291

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	35
1	24	27
done	24	27

end0.0ms

sample1.5s

Algorithm

intervals

Results

650.0ms

10690×

body

valid