Details

sample44.0ms

Algorithm

intervals

Results

18.0ms

287×

body

valid

simplify14.0ms

Counts: 1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
5.2b	(/ x (/ (* z (- y t)) 2.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
4×	`pow1`
3×	`associate-l` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

21.0ms	(* z (- y t))
31.0ms	(/ x (/ (* z (- y t)) 2.0))

series140.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* z (- y t))
83.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify29.0ms

Counts: 80 → 80

prune484.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
3.9b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

243×	`times-frac`
184×	`add-sqr-sqrt`
157×	`*-un-lft-identity`
112×	`add-cube-cbrt`
62×	`associate-r`
46×	`add-exp-log`
28×	`add-cbrt-cube`
21×	`div-exp` `distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
13×	`associate-l`
12×	`cbrt-undiv` `prod-exp`
10×	`div-inv`
9×	`unswap-sqr`
6×	`cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `1-exp` `associate-/l*`
2×	`associate-/r/` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 208

Calls

2 calls:

23.0ms	(/ x (/ (- y t) 2.0))
62.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ x (/ (- y t) 2.0))
64.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify74.0ms

Counts: 214 → 214

prune607.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
3.8b	(/ (/ x (/ (- y t) 2.0)) z)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

711×	`times-frac`
405×	`add-sqr-sqrt` `*-un-lft-identity`
309×	`add-cube-cbrt`
65×	`associate-/l*`
48×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*` `div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 362

Calls

2 calls:

15.0ms	(/ x (/ (- y t) 2.0))
48.0ms	(/ (/ x (/ (- y t) 2.0)) z)

series146.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ x (/ (- y t) 2.0))
109.0ms	(/ (/ x (/ (- y t) 2.0)) z)

simplify76.0ms

Counts: 368 → 368

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (sqrt 2.0))
0.4b	(/ (- y t) (sqrt 2.0))
0.5b	(/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0)))
3.9b	(* (/ 1 z) (/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0))))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

199×	`times-frac`
146×	`add-sqr-sqrt`
136×	`*-un-lft-identity`
97×	`add-exp-log`
85×	`add-cube-cbrt`
67×	`sqrt-prod`
61×	`add-cbrt-cube`
45×	`associate-r`
41×	`div-exp`
40×	`associate-/r*`
31×	`prod-exp`
25×	`distribute-lft-out--` `difference-of-squares`
24×	`cbrt-undiv`
17×	`cbrt-unprod`
16×	`associate-l`
8×	`pow1`
7×	`div-inv`
6×	`associate-/l*`
5×	`rec-exp` `1-exp` `unswap-sqr`
4×	`add-log-exp`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `associate-/l/`
1×	`frac-times` `flip3--` `div-sub` `associate-r/` `associate-l/` `flip--`

Counts

4 → 263

Calls

4 calls:

16.0ms	(* x (sqrt 2.0))
24.0ms	(/ (- y t) (sqrt 2.0))
35.0ms	(/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0)))
84.0ms	(* (/ 1 z) (/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0))))

series602.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (sqrt 2.0))
131.0ms	(/ (- y t) (sqrt 2.0))
158.0ms	(/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0)))
246.0ms	(* (/ 1 z) (/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0))))

simplify91.0ms

Counts: 275 → 275

prune715.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes210.0ms

Accuracy

0% (5.7b remaining)

Error of 5.7b against oracle of 0.0b and baseline of 5.7b

bsearch115.0ms

Steps

Iters	Range		Point
9	6.55678960347788e+65	6.830756908302209e+71	6.8034908568658585e+65
8	-8.800848873385876e+61	-2.827750605720528e+58	-1.0086536878019123e+59

simplify39.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

435.0ms

8737×

body

valid