Details

sample45.0ms

Algorithm

intervals

Results

13.0ms

335×

body

valid

simplify8.0s

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

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (- z t) (/ y a) x)

rewrite5.0ms

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:

5.0ms

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

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

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

simplify3.3s

Counts

14 → 14

Iterations

Iter	Nodes
done	5012
4	1426
3	254
2	86
1	42
0	25

prune273.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-/r` `fma-def` `times-frac` `associate-l*` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `flip--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 91

Calls

3 calls:

22.0ms	(+ x (/ (* y (- z t)) a))
41.0ms	(* y (- z t))
48.0ms	(/ (* y (- z t)) a)

series275.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ x (/ (* y (- z t)) a))
79.0ms	(* y (- z t))
106.0ms	(/ (* y (- z t)) a)

simplify7.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	4404
2	1162
1	438
0	173

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
4.1b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 116

Calls

4 calls:

3.0ms	(cbrt a)
3.0ms	(cbrt a)
4.0ms	(cbrt a)
113.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series1.2s

Counts

4 → 12

Calls

4 calls:

360.0ms	(cbrt a)
316.0ms	(cbrt a)
351.0ms	(cbrt a)
206.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify3.9s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2139
1	514
0	167

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
6.7b	(/ y (/ a (- z t)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
72×	`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×	`expm1-log1p-u` `pow1` `fma-def` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 163

Calls

3 calls:

87.0ms	(+ x (/ y (/ a (- z t))))
20.0ms	(/ a (- z t))
25.0ms	(/ y (/ a (- z t)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ x (/ y (/ a (- z t))))
44.0ms	(/ a (- z t))
116.0ms	(/ y (/ a (- z t)))

simplify3.5s

Counts

172 → 172

Iterations

Iter	Nodes
done	5002
2	2139
1	642
0	254

prune2.4s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes2.8s

Accuracy

47.6% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.5b

bsearch118.0ms

Steps

Iters	Range		Point
5	1.6092474117272988e-114	6.40551636908869e-114	6.3044904655620086e-114
9	-1.442136557290824e+79	-4.217802647696024e+72	-4.2928675080966004e+72

simplify8.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample1.3s

Algorithm

intervals

Results

567.0ms

10593×

body

valid