Details

sample181.0ms

Algorithm

intervals

Results

61.0ms	550×	body	80	valid
52.0ms	572×	body	80	nan

simplify3.2s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize40.0ms

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

rewrite158.0ms

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:

8.0ms	(/ (* t t) 2.0)
86.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
6.0ms	(exp (/ (* t t) 2.0))
54.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* t t) 2.0)
254.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
26.0ms	(exp (/ (* t t) 2.0))
130.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	2566
1	494
0	182

prune671.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

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)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite154.0ms

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:

5.0ms	(pow (exp t) (/ t 2.0))
88.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
60.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series553.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(pow (exp t) (/ t 2.0))
298.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
163.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.9s

Counts

92 → 92

Iterations

Iter	Nodes
done	5004
2	2439
1	553
0	191

prune730.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
26×	`pow-unpow`
18×	`times-frac`
17×	`pow1`
15×	`add-cbrt-cube` `add-exp-log`
14×	`associate-r`
9×	`unpow-prod-down`
8×	`pow-pow` `associate-*l/` `sqrt-prod`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`
2×	`pow-to-exp` `flip3--` `pow-exp` `*-commutative` `div-inv` `flip--`
1×	`unswap-sqr`

Counts

4 → 119

Calls

4 calls:

5.0ms	(pow (exp t) (/ t 2.0))
5.0ms	(pow (exp t) (/ t 2.0))
304.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
36.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series515.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(pow (exp t) (/ t 2.0))
84.0ms	(pow (exp t) (/ t 2.0))
242.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
131.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5003
2	2929
1	613
0	212

prune948.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite635.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

5.0ms	(pow (exp t) (/ t 2.0))
522.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
37.0ms	(* (- (* x 0.5) y) (sqrt z))
68.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series566.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(pow (exp t) (/ t 2.0))
276.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
75.0ms	(* (- (* x 0.5) y) (sqrt z))
141.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.5s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	3640
1	676
0	238

prune978.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes1.5s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.1s	17939×	body	80	valid
1.8s	17704×	body	80	nan