Details

sample229.0ms

Algorithm

intervals

Results

85.0ms	583×	body	80	nan
56.0ms	585×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2322
6	746
5	367
4	204
3	92
2	43
1	26
0	15

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.1b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite168.0ms

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` `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 → 85

Calls

4 calls:

11.0ms	(/ (* t t) 2.0)
113.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
6.0ms	(exp (/ (* t t) 2.0))
34.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series544.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (* t t) 2.0)
266.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
42.0ms	(exp (/ (* t t) 2.0))
173.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	2566
1	494
0	182

prune660.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.0b	(pow (exp t) (/ t 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite151.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

95.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
5.0ms	(pow (exp t) (/ t 2.0))
48.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series494.0ms

Counts

3 → 9

Calls

3 calls:

282.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
79.0ms	(pow (exp t) (/ t 2.0))
132.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2463
1	555
0	191

prune677.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow (exp t) (/ t 2.0)) (* (- (* x 0.5) y) (sqrt (* z 2.0))))
0.0b	(pow (exp t) (/ t 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

65.0ms	(* (pow (exp t) (/ t 2.0)) (* (- (* x 0.5) y) (sqrt (* z 2.0))))
5.0ms	(pow (exp t) (/ t 2.0))
44.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series558.0ms

Counts

3 → 9

Calls

3 calls:

351.0ms	(* (pow (exp t) (/ t 2.0)) (* (- (* x 0.5) y) (sqrt (* z 2.0))))
68.0ms	(pow (exp t) (/ t 2.0))
138.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.6s

Counts

92 → 92

Iterations

Iter	Nodes
done	5002
2	2059
1	547
0	189

prune853.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite341.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
24×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
19×	`associate-r`
13×	`pow-unpow`
12×	`pow1` `associate-*l/`
10×	`cbrt-unprod`
9×	`times-frac`
7×	`sqrt-prod`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`expm1-log1p-u` `pow-to-exp` `pow-pow` `pow-prod-down` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr` `sqr-pow`
1×	`div-inv`

Counts

4 → 115

Calls

4 calls:

229.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
5.0ms	(pow (exp t) (/ t 2.0))
32.0ms	(* (- (* x 0.5) y) (sqrt z))
68.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series763.0ms

Counts

4 → 12

Calls

4 calls:

378.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
75.0ms	(pow (exp t) (/ t 2.0))
99.0ms	(* (- (* x 0.5) y) (sqrt z))
211.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.5s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	3260
1	618
0	218

prune855.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.5s	17999×	body	80	nan
2.3s	17918×	body	80	valid