Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

270×

body

valid

simplify39.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	65
5	65
4	61
3	51
2	38
1	26
0	15

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.9b

localize42.0ms

Local error

Found 3 expressions with local error:

1.9b	(fma y (/ b t) (+ a 1.0))
2.5b	(fma (/ z t) y x)
12.6b	(/ (fma (/ z t) y x) (fma y (/ b t) (+ a 1.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma y (/ b t) (+ a 1.0))
0.0ms	(fma (/ z t) y x)
5.0ms	(/ (fma (/ z t) y x) (fma y (/ b t) (+ a 1.0)))

series405.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(fma y (/ b t) (+ a 1.0))
58.0ms	(fma (/ z t) y x)
282.0ms	(/ (fma (/ z t) y x) (fma y (/ b t) (+ a 1.0)))

simplify743.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	1228
2	307
1	125
0	77

prune444.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 12.5b

localize20.0ms

Local error

Found 3 expressions with local error:

2.5b	(fma (/ z t) y x)
4.1b	(* b (/ y t))
12.6b	(/ (fma (/ z t) y x) (+ (* b (/ y t)) (+ a 1.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`associate-/r/`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `associate-r/` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `flip3-+` `div-exp` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative` `fma-udef`

Counts

3 → 77

Calls

3 calls:

0.0ms	(fma (/ z t) y x)
11.0ms	(* b (/ y t))
28.0ms	(/ (fma (/ z t) y x) (+ (* b (/ y t)) (+ a 1.0)))

series332.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(fma (/ z t) y x)
21.0ms	(* b (/ y t))
267.0ms	(/ (fma (/ z t) y x) (+ (* b (/ y t)) (+ a 1.0)))

simplify964.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1448
1	401
0	161

prune680.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 11.2b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ z t) y) x)
1.9b	(fma y (/ b t) (+ a 1.0))
4.7b	(* (/ z t) y)
12.6b	(/ (+ (* (/ z t) y) x) (fma y (/ b t) (+ a 1.0)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
13×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `fma-udef`

Counts

4 → 89

Calls

4 calls:

18.0ms	(+ (* (/ z t) y) x)
0.0ms	(fma y (/ b t) (+ a 1.0))
22.0ms	(* (/ z t) y)
49.0ms	(/ (+ (* (/ z t) y) x) (fma y (/ b t) (+ a 1.0)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (* (/ z t) y) x)
62.0ms	(fma y (/ b t) (+ a 1.0))
37.0ms	(* (/ z t) y)
352.0ms	(/ (+ (* (/ z t) y) x) (fma y (/ b t) (+ a 1.0)))

simplify1.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1374
1	339
0	152

prune793.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 11.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (/ y t)) x)
1.9b	(fma y (/ b t) (+ a 1.0))
3.8b	(* z (/ y t))
12.6b	(/ (+ (* z (/ y t)) x) (fma y (/ b t) (+ a 1.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `fma-udef`

Counts

4 → 89

Calls

4 calls:

17.0ms	(+ (* z (/ y t)) x)
1.0ms	(fma y (/ b t) (+ a 1.0))
21.0ms	(* z (/ y t))
29.0ms	(/ (+ (* z (/ y t)) x) (fma y (/ b t) (+ a 1.0)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* z (/ y t)) x)
53.0ms	(fma y (/ b t) (+ a 1.0))
35.0ms	(* z (/ y t))
271.0ms	(/ (+ (* z (/ y t)) x) (fma y (/ b t) (+ a 1.0)))

simplify773.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1243
1	363
0	154

prune834.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 11.1b

regimes1.2s

Accuracy

40.8% (2.3b remaining)

Error of 13.1b against oracle of 10.7b and baseline of 14.7b

bsearch130.0ms

Steps

Iters	Range		Point
7	3.902723472080927e-59	1.7615960166582e-57	6.269129896688427e-59
10	-1.5599804261144372e+49	-6.493619650347536e+35	-2.3542876234484398e+38

simplify3.0ms

Iterations

Iter	Nodes
done	39
1	39
0	27

end0.0ms

sample1.3s

Algorithm

intervals

Results

888.0ms

8278×

body

valid