Details

sample258.0ms

Algorithm

intervals

Results

94.0ms	622×	body	80	valid
69.0ms	661×	body	80	nan

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1585
6	613
5	332
4	198
3	95
2	42
1	26
0	15

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize119.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `sqrt-prod` `associate-/l*` `unswap-sqr` `rem-exp-log`

Counts

4 → 89

Calls

4 calls:

22.0ms	(/ (* t t) 2.0)
15.0ms	(exp (/ (* t t) 2.0))
269.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
137.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series661.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* t t) 2.0)
40.0ms	(exp (/ (* t t) 2.0))
396.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
181.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify4.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1682
1	498
0	186

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite473.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`pow-unpow`
11×	`associate-r`
10×	`add-cbrt-cube` `prod-exp`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-to-exp` `exp-prod` `pow-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

28.0ms	(pow (exp t) (/ t 2.0))
280.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
155.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series844.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(pow (exp t) (/ t 2.0))
522.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
215.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify4.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5003
2	1689
1	551
0	194

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

rewrite440.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`exp-prod` `associate-l`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `flip3--` `sqrt-prod` `flip--` `associate-/l*` `unswap-sqr` `rem-exp-log`

Counts

4 → 87

Calls

4 calls:

70.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
37.0ms	(/ (* t t) 2.0)
10.0ms	(exp (/ (* t t) 2.0))
317.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series601.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
55.0ms	(/ (* t t) 2.0)
25.0ms	(exp (/ (* t t) 2.0))
340.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify3.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5004
2	1784
1	538
0	195

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize150.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite623.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`-un-lft-identity` `associate-l/` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod` `sqrt-prod`
5×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`times-frac` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 97

Calls

4 calls:

10.0ms	(exp (/ (* t t) 2.0))
393.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
66.0ms	(* (- (* x 0.5) y) (sqrt z))
149.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series719.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(exp (/ (* t t) 2.0))
394.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
86.0ms	(* (- (* x 0.5) y) (sqrt z))
200.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify3.0s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1515
1	456
0	182

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes2.4s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample7.1s

Algorithm

intervals

Results

3.0s	17984×	body	80	valid
2.2s	17871×	body	80	nan