Details

sample46.0ms

Algorithm

intervals

Results

22.0ms

329×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4686
20	4333
19	3984
18	3625
17	3276
16	2923
15	2561
14	1997
13	1448
12	1088
11	777
10	527
9	358
8	284
7	211
6	171
5	129
4	82
3	44
2	24
1	15
0	9

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

2.4b	(fma (- z t) (/ y a) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(fma (- z t) (/ y a) x)

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(fma (- z t) (/ y a) x)

simplify1.8s

Counts

14 → 14

Iterations

Iter	Nodes
done	5004
4	1459
3	254
2	86
1	42
0	25

prune112.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

25.0ms	(+ (* (- z t) (/ y a)) x)
43.0ms	(* (- z t) (/ y a))

series154.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(+ (* (- z t) (/ y a)) x)
63.0ms	(* (- z t) (/ y a))

simplify2.7s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	4786
2	1094
1	328
0	124

prune258.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (- z t) (* (cbrt (/ y a)) (cbrt (/ y a))))
11.4b	(cbrt (/ y a))
11.4b	(cbrt (/ y a))
11.4b	(cbrt (/ y a))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`frac-times` `pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

67.0ms	(* (- z t) (* (cbrt (/ y a)) (cbrt (/ y a))))
3.0ms	(cbrt (/ y a))
3.0ms	(cbrt (/ y a))
3.0ms	(cbrt (/ y a))

series381.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (- z t) (* (cbrt (/ y a)) (cbrt (/ y a))))
83.0ms	(cbrt (/ y a))
67.0ms	(cbrt (/ y a))
95.0ms	(cbrt (/ y a))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
3	3036
2	869
1	351
0	168

prune788.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

2.5b	(* (- z t) (* (* (cbrt (/ 1 (* (cbrt a) (cbrt a)))) (cbrt (/ y (cbrt a)))) (cbrt (/ y a))))
4.8b	(cbrt (/ y (cbrt a)))
11.4b	(cbrt (/ y a))
11.4b	(cbrt (/ y a))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
39×	`cbrt-div`
36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`add-cube-cbrt`
29×	`frac-times`
17×	`associate-*l/`
16×	`associate-*r/`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 133

Calls

4 calls:

162.0ms	(* (- z t) (* (* (cbrt (/ 1 (* (cbrt a) (cbrt a)))) (cbrt (/ y (cbrt a)))) (cbrt (/ y a))))
2.0ms	(cbrt (/ y (cbrt a)))
1.0ms	(cbrt (/ y a))
1.0ms	(cbrt (/ y a))

series508.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (- z t) (* (* (cbrt (/ 1 (* (cbrt a) (cbrt a)))) (cbrt (/ y (cbrt a)))) (cbrt (/ y a))))
216.0ms	(cbrt (/ y (cbrt a)))
66.0ms	(cbrt (/ y a))
68.0ms	(cbrt (/ y a))

simplify2.1s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	2035
1	632
0	289

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes1.0s

Accuracy

54.5% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.5b

bsearch144.0ms

Steps

Iters	Range		Point
10	6.912781464971578e+43	1.9879377832564225e+54	1.7350666396159628e+45
9	-5.327453859787046e-29	-6.856242463123297e-34	-2.1628776471159573e-32

simplify3.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample1.1s

Algorithm

intervals

Results

635.0ms

10652×

body

valid