Details

sample48.0ms

Algorithm

intervals

Results

31.0ms

284×

body

valid

simplify198.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	203
8	203
7	201
6	182
5	156
4	117
3	74
2	42
1	19
0	10

prune15.0ms

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
43×	`times-frac`
42×	`*-un-lft-identity`
28×	`add-cube-cbrt`
21×	`associate-l`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`cbrt-undiv` `associate-/r*` `div-exp`
4×	`pow1` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`div-inv` `associate-/l*`
2×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 97

Calls

2 calls:

8.0ms	(/ 2.0 (- y t))
28.0ms	(* (/ 2.0 (- y t)) (/ x z))

series193.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ 2.0 (- y t))
123.0ms	(* (/ 2.0 (- y t)) (/ x z))

simplify847.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	2002
2	1447
1	455
0	161

prune446.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
15×	`times-frac`
13×	`associate-r`
12×	`add-cube-cbrt`
5×	`cbrt-undiv` `associate-/r*` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-l`
2×	`associate-*r/` `associate-/r/` `insert-posit16` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `-commutative` `flip--` `associate-/l` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

9.0ms	(* 2.0 (/ x z))
27.0ms	(/ (* 2.0 (/ x z)) (- y t))

series94.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* 2.0 (/ x z))
67.0ms	(/ (* 2.0 (/ x z)) (- y t))

simplify623.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	2003
2	1045
1	322
0	125

prune317.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

4.8b	(* (/ 2.0 (- y t)) (/ x z))
18.5b	(cbrt (* (/ 2.0 (- y t)) (/ x z)))
18.5b	(cbrt (* (/ 2.0 (- y t)) (/ x z)))
18.5b	(cbrt (* (/ 2.0 (- y t)) (/ x z)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
26×	`*-un-lft-identity`
21×	`associate-l`
20×	`add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
9×	`cbrt-div`
6×	`pow1`
4×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `pow1/3` `distribute-lft-out--` `difference-of-squares`
2×	`associate-/r/` `div-inv`
1×	`flip3--` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 98

Calls

4 calls:

35.0ms	(* (/ 2.0 (- y t)) (/ x z))
12.0ms	(cbrt (* (/ 2.0 (- y t)) (/ x z)))
13.0ms	(cbrt (* (/ 2.0 (- y t)) (/ x z)))
18.0ms	(cbrt (* (/ 2.0 (- y t)) (/ x z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (/ 2.0 (- y t)) (/ x z))
308.0ms	(cbrt (* (/ 2.0 (- y t)) (/ x z)))
268.0ms	(cbrt (* (/ 2.0 (- y t)) (/ x z)))
290.0ms	(cbrt (* (/ 2.0 (- y t)) (/ x z)))

simplify959.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	2004
2	1603
1	514
0	197

prune648.0ms

Pruning

8 alts after pruning (6 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))
1.3b	(/ (/ (* 2.0 (/ x z)) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t)))
3.7b	(/ (* 2.0 (/ x z)) (* (cbrt (- y t)) (cbrt (- y t))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

126×	`cbrt-div`
114×	`times-frac`
82×	`associate-/r/`
80×	`cbrt-prod`
75×	`add-sqr-sqrt` `*-un-lft-identity`
63×	`flip3--` `flip--`
54×	`add-exp-log`
43×	`add-cube-cbrt`
40×	`frac-times`
35×	`add-cbrt-cube`
23×	`cbrt-undiv` `div-exp`
21×	`associate-*r/`
20×	`associate-*l/`
16×	`distribute-lft-out--` `difference-of-squares`
14×	`prod-exp` `cbrt-unprod` `associate-/l*`
11×	`div-inv`
9×	`associate-/r*`
4×	`pow1` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/3` `associate-/l/`

Counts

4 → 220

Calls

4 calls:

6.0ms	(cbrt (- y t))
5.0ms	(cbrt (- y t))
42.0ms	(/ (/ (* 2.0 (/ x z)) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t)))
25.0ms	(/ (* 2.0 (/ x z)) (* (cbrt (- y t)) (cbrt (- y t))))

series570.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (- y t))
215.0ms	(cbrt (- y t))
49.0ms	(/ (/ (* 2.0 (/ x z)) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t)))
128.0ms	(/ (* 2.0 (/ x z)) (* (cbrt (- y t)) (cbrt (- y t))))

simplify785.0ms

Counts

232 → 232

Iterations

Iter	Nodes
done	2000
1	958
0	369

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes295.0ms

Accuracy

41.7% (3.2b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 5.5b

bsearch72.0ms

Steps

Iters	Range		Point
10	6.805979708043197e-237	6.150502060195433e-226	1.3088576305874405e-231
4	-1.377551917386729e-61	-7.543467412109221e-62	-1.1956576016905496e-61

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample1.0s

Algorithm

intervals

Results

748.0ms

8729×

body

valid