Details

sample85.0ms

Algorithm

intervals

Results

27.0ms	578×	body	80	valid
23.0ms	548×	body	80	nan

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	25	17
2	40	17
3	79	17
4	137	17
5	238	17
6	559	17
7	1649	17
done	5001	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))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite64.0ms

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×	`associate-l` `pow-prod-down`
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 → 77

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
41.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* t t) 2.0)
161.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
19.0ms	(exp (/ (* t t) 2.0))
105.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify569.0ms

Counts

89 → 89

Iterations

Useful iterations: done (567.0ms)

Iter	Nodes	Cost
0	175	1210
1	450	1149
2	1687	988
done	5001	984

prune279.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite54.0ms

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

Counts

3 → 77

Calls

3 calls:

3.0ms	(pow (exp t) (/ t 2.0))
34.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series355.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(pow (exp t) (/ t 2.0))
196.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
112.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify716.0ms

Counts

86 → 86

Iterations

Useful iterations: done (714.0ms)

Iter	Nodes	Cost
0	186	1303
1	505	1202
2	1929	1087
done	5000	1083

prune299.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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`
6×	`times-frac` `associate-l`
5×	`associate-r` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative` `div-inv`
1×	`flip3--` `frac-2neg` `clear-num` `sqrt-prod` `flip--` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
20.0ms	(* (exp (/ (* t t) 2.0)) (sqrt (* z 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
51.0ms	(* (- (* x 0.5) y) (* (exp (/ (* t t) 2.0)) (sqrt (* z 2.0))))

series318.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* t t) 2.0)
96.0ms	(* (exp (/ (* t t) 2.0)) (sqrt (* z 2.0)))
18.0ms	(exp (/ (* t t) 2.0))
180.0ms	(* (- (* x 0.5) y) (* (exp (/ (* t t) 2.0)) (sqrt (* z 2.0))))

simplify582.0ms

Counts

87 → 87

Iterations

Useful iterations: done (580.0ms)

Iter	Nodes	Cost
0	185	1268
1	485	1206
2	1778	1041
done	5000	1036

prune272.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

80.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
12.0ms	(* (- (* x 0.5) y) (sqrt z))
21.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series412.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
18.0ms	(exp (/ (* t t) 2.0))
62.0ms	(* (- (* x 0.5) y) (sqrt z))
138.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify656.0ms

Counts

97 → 97

Iterations

Useful iterations: done (653.0ms)

Iter	Nodes	Cost
0	170	1535
1	431	1427
2	1756	1220
done	5000	1214

prune260.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes467.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	19	17
done	19	17

end0.0ms

sample2.5s

Algorithm

intervals

Results

784.0ms	18146×	body	80	valid
764.0ms	18159×	body	80	nan