Details

sample62.0ms

Algorithm

intervals

Results

37.0ms

353×

body

valid

simplify4.1s

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

localize20.0ms

Local error

Found 1 expressions with local error:

3.5b	(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)

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

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

simplify1.9s

Counts

14 → 14

Iterations

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

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) a))
4.7b	(/ (* y (- z t)) a)

rewrite56.0ms

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	(* y (- z t))
8.0ms	(+ x (/ (* y (- z t)) a))
25.0ms	(/ (* y (- z t)) a)

series230.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* y (- z t))
92.0ms	(+ x (/ (* y (- z t)) a))
66.0ms	(/ (* y (- z t)) a)

simplify2.8s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	4014
2	1088
1	426
0	173

prune455.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
4.9b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite53.0ms

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:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
49.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series954.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt a)
269.0ms	(cbrt a)
282.0ms	(cbrt a)
142.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify2.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2117
1	514
0	167

prune669.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ 1 (/ a (* y (- z t)))))
0.7b	(/ 1 (/ a (* y (- z t))))
4.7b	(/ a (* y (- z t)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

30.0ms	(* y (- z t))
26.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
33.0ms	(/ 1 (/ a (* y (- z t))))
25.0ms	(/ a (* y (- z t)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* y (- z t))
88.0ms	(+ x (/ 1 (/ a (* y (- z t)))))
113.0ms	(/ 1 (/ a (* y (- z t))))
67.0ms	(/ a (* y (- z t)))

simplify1.6s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
2	1611
1	584
0	258

prune801.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes677.0ms

Accuracy

85.1% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample1.4s

Algorithm

intervals

Results

931.0ms

10639×

body

valid