Details

sample82.0ms

Algorithm

intervals

Results

24.0ms	559×	body	80	valid
23.0ms	534×	body	80	nan

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	42	17
3	82	17
4	157	17
5	271	17
6	604	17
7	1667	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
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` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
43.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
187.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
20.0ms	(exp (/ (* t t) 2.0))
113.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify677.0ms

Counts

97 → 97

Iterations

Useful iterations: done (674.0ms)

Iter	Nodes	Cost
0	183	1294
1	457	1223
2	1536	1068
done	5001	1044

prune357.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
11×	`associate-r`
10×	`prod-exp` `add-cbrt-cube`
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:

3.0ms	(pow (exp t) (/ t 2.0))
36.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
21.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series391.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(pow (exp t) (/ t 2.0))
216.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
116.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify788.0ms

Counts

92 → 92

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	192	1375
1	515	1272
2	1667	1148
done	5000	1144

prune364.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (exp t))
0.1b	(cbrt (exp t))
0.1b	(cbrt (exp t))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `sqrt-prod` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt (exp t))
1.0ms	(cbrt (exp t))
1.0ms	(cbrt (exp t))
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt (exp t))
93.0ms	(cbrt (exp t))
92.0ms	(cbrt (exp t))
121.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts

74 → 74

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	98	633
1	221	605
2	654	551
3	2220	532
done	5001	530

prune354.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)) (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))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
24×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
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:

3.0ms	(pow (exp t) (/ t 2.0))
79.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
13.0ms	(* (- (* x 0.5) y) (sqrt z))
22.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series517.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(pow (exp t) (/ t 2.0))
244.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
70.0ms	(* (- (* x 0.5) y) (sqrt z))
145.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify936.0ms

Counts

127 → 127

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	218	1940
1	579	1767
2	2034	1571
done	5000	1565

prune428.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes394.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	30
1	24	30
done	24	30

end0.0ms

sample2.5s

Algorithm

intervals

Results

808.0ms	17884×	body	80	valid
775.0ms	17815×	body	80	nan