Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

279×

body

valid

simplify140.0ms

Counts: 1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* z (- y t)) 2.0)
0.0b	(* z (- y t))
6.6b	(/ x (/ (* z (- y t)) 2.0))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 97

Calls

3 calls:

19.0ms	(/ (* z (- y t)) 2.0)
39.0ms	(* z (- y t))
22.0ms	(/ x (/ (* z (- y t)) 2.0))

series186.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (* z (- y t)) 2.0)
49.0ms	(* z (- y t))
67.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify670.0ms

Counts: 106 → 106

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.9b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite94.0ms

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:

16.0ms	(/ x (/ (- y t) 2.0))
65.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ x (/ (- y t) 2.0))
74.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify1.4s

Counts: 214 → 214

prune654.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.8b	(/ (/ x (/ (- y t) 2.0)) z)

rewrite130.0ms

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:

27.0ms	(/ x (/ (- y t) 2.0))
64.0ms	(/ (/ x (/ (- y t) 2.0)) z)

series205.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ x (/ (- y t) 2.0))
136.0ms	(/ (/ x (/ (- y t) 2.0)) z)

simplify715.0ms

Counts: 368 → 368

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y t))
0.5b	(cbrt (- y t))
2.2b	(/ (/ x (/ (cbrt (- y t)) (sqrt 2.0))) z)
3.4b	(* (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ x (/ (cbrt (- y t)) (sqrt 2.0))) z))

rewrite845.0ms

Algorithm

rewrite-expression-head

Rules

3131×	`times-frac`
1656×	`add-sqr-sqrt`
1569×	`*-un-lft-identity`
1313×	`add-cube-cbrt`
646×	`cbrt-prod`
520×	`sqrt-prod`
487×	`associate-r`
161×	`associate-/l*`
128×	`distribute-lft-out--` `difference-of-squares`
67×	`add-exp-log`
55×	`add-cbrt-cube`
32×	`cbrt-undiv` `div-exp`
31×	`div-inv`
21×	`unswap-sqr`
18×	`associate-l`
16×	`cbrt-div` `prod-exp` `cbrt-unprod`
15×	`associate-/r/`
8×	`flip3--` `flip--`
6×	`pow1`
5×	`frac-times`
4×	`add-log-exp`
3×	`associate-r/` `associate-l/` `associate-/r*`
2×	`pow1/3`
1×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `associate-/l/`

Counts

4 → 1256

Calls

4 calls:

4.0ms	(cbrt (- y t))
6.0ms	(cbrt (- y t))
71.0ms	(/ (/ x (/ (cbrt (- y t)) (sqrt 2.0))) z)
588.0ms	(* (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ x (/ (cbrt (- y t)) (sqrt 2.0))) z))

series1.2s

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt (- y t))
207.0ms	(cbrt (- y t))
249.0ms	(/ (/ x (/ (cbrt (- y t)) (sqrt 2.0))) z)
469.0ms	(* (/ (sqrt 2.0) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ x (/ (cbrt (- y t)) (sqrt 2.0))) z))

simplify2.5s

Counts: 1268 → 1268

prune6.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

-4.5% (5.4b remaining)

Error of 5.4b against oracle of 0.0b and baseline of 5.2b

bsearch152.0ms

Steps

Iters	Range		Point
10	1.7793202991269276e-248	1.4641361375202982e-230	1.6092045793144405e-239
10	-3.009439830924395e-06	-3.171998808241992e-22	-2.1961928853843444e-14

simplify544.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

569.0ms

8728×

body

valid