Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

281×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	3654
16	3654
15	3652
14	3560
13	2828
12	1552
11	708
10	464
9	392
8	338
7	288
6	260
5	168
4	102
3	59
2	36
1	20
0	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.5b	(fma (/ (- z t) (- a t)) y x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

32.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series222.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(/ (- z t) (- a t))
128.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5003
3	2201
2	664
1	266
0	115

prune444.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.7b	(* y (/ (- z t) (- a t)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 125

Calls

3 calls:

11.0ms	(+ x (* y (/ (- z t) (- a t))))
25.0ms	(/ (- z t) (- a t))
46.0ms	(* y (/ (- z t) (- a t)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ x (* y (/ (- z t) (- a t))))
64.0ms	(/ (- z t) (- a t))
93.0ms	(* y (/ (- z t) (- a t)))

simplify1.5s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	1447
1	455
0	171

prune647.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (/ (- z t) (- a t)))
1.3b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-*r/`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `div-inv` `flip--`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt y)
40.0ms	(* (cbrt y) (/ (- z t) (- a t)))
79.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

series1.1s

Counts

4 → 12

Calls

4 calls:

340.0ms	(cbrt y)
346.0ms	(cbrt y)
286.0ms	(* (cbrt y) (/ (- z t) (- a t)))
125.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

simplify2.0s

Counts

128 → 128

Iterations

Iter	Nodes
done	5004
2	1479
1	423
0	158

prune839.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
0.0b	(/ (- a t) (- z t))
1.7b	(/ y (/ (- a t) (- z t)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
198×	`*-un-lft-identity`
196×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`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` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 218

Calls

3 calls:

70.0ms	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
28.0ms	(/ (- a t) (- z t))
24.0ms	(/ y (/ (- a t) (- z t)))

series516.0ms

Counts

3 → 9

Calls

3 calls:

207.0ms	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
84.0ms	(/ (- a t) (- z t))
224.0ms	(/ y (/ (- a t) (- z t)))

simplify2.1s

Counts

227 → 227

Iterations

Iter	Nodes
done	5001
2	2920
1	818
0	304

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes696.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

836.0ms	8739×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	640	valid