Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

348×

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

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:

23.0ms	(+ (* (/ x y) (- z t)) t)
27.0ms	(* (/ x y) (- z t))

series144.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ (* (/ x y) (- z t)) t)
82.0ms	(* (/ x y) (- z t))

simplify807.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1389
1	328
0	122

prune270.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.6b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.1b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 164

Calls

4 calls:

6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
216.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
63.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series634.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (- z t))
230.0ms	(cbrt (- z t))
79.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
132.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify1.5s

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
2	2926
1	816
0	296

prune881.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z t))
0.0b	(+ (* (/ 1 1) (/ x (/ y (- z t)))) t)
6.4b	(/ x (/ y (- z t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 150

Calls

3 calls:

10.0ms	(/ y (- z t))
18.0ms	(+ (* (/ 1 1) (/ x (/ y (- z t)))) t)
14.0ms	(/ x (/ y (- z t)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ y (- z t))
40.0ms	(+ (* (/ 1 1) (/ x (/ y (- z t)))) t)
73.0ms	(/ x (/ y (- z t)))

simplify1.2s

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
2	3040
1	639
0	247

prune831.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) y)
0.0b	(+ (* x (/ (- z t) y)) t)
6.6b	(* x (/ (- z t) y))

rewrite89.0ms

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

Counts

3 → 87

Calls

3 calls:

19.0ms	(/ (- z t) y)
23.0ms	(+ (* x (/ (- z t) y)) t)
44.0ms	(* x (/ (- z t) y))

series182.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- z t) y)
62.0ms	(+ (* x (/ (- z t) y)) t)
67.0ms	(* x (/ (- z t) y))

simplify857.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1557
1	365
0	139

prune459.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes611.0ms

Accuracy

12.6% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.1b

bsearch113.0ms

Steps

Iters	Range		Point
8	3.485276264119076e-155	9.411634535372363e-153	3.038275486400103e-154
10	-1.0780386787535981e-167	-1.2683548840946811e-179	-2.4293424807401407e-176

simplify7.0ms

Iterations

Iter	Nodes
done	31
2	31
1	29
0	20

end0.0ms

sample1.2s

Algorithm

intervals

Results

602.0ms

10632×

body

valid