Details

sample157.0ms

Algorithm

intervals

Results

63.0ms	605×	body	80	valid
33.0ms	563×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	43	17
3	92	17
4	204	17
5	371	17
6	755	17
7	2305	17
done	5000	17

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

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

rewrite211.0ms

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:

14.0ms	(/ (* t t) 2.0)
5.0ms	(exp (/ (* t t) 2.0))
147.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
41.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
24.0ms	(exp (/ (* t t) 2.0))
188.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
158.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts

97 → 97

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	183	1294
1	495	1237
2	2580	1076
done	5000	1065

prune416.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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)))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

150.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
80.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series428.0ms

Counts

2 → 6

Calls

2 calls:

285.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
143.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

57 → 57

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	149	1062
1	402	992
2	1832	873
done	5001	865

prune293.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (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))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
22×	`prod-exp`
19×	`associate-r` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-*l/`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
7×	`sqrt-prod`
5×	`associate-l`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `pow-to-exp` `unpow-prod-down` `flip3--` `pow-exp` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`
1×	`sqr-pow`

Counts

3 → 83

Calls

3 calls:

248.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
45.0ms	(* (- (* x 0.5) y) (sqrt z))
67.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series605.0ms

Counts

3 → 9

Calls

3 calls:

308.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
95.0ms	(* (- (* x 0.5) y) (sqrt z))
202.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.4s

Counts

92 → 92

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	177	1627
1	472	1497
2	2671	1310
done	5000	1286

prune806.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt 2.0) (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) (pow (exp t) (/ t 2.0))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
24×	`add-sqr-sqrt`
22×	`prod-exp`
19×	`add-cbrt-cube`
14×	`associate-r`
10×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `sqrt-prod` `cbrt-unprod`
8×	`unswap-sqr`
6×	`associate-*l/`
5×	`unpow-prod-down`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`flip3--` `flip--`

Counts

3 → 87

Calls

3 calls:

39.0ms	(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
67.0ms	(* (- (* x 0.5) y) (sqrt z))
130.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

series538.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
103.0ms	(* (- (* x 0.5) y) (sqrt z))
286.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

simplify1.6s

Counts

96 → 96

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	173	1638
1	441	1518
2	2001	1338
done	5001	1315

prune419.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes521.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample6.5s

Algorithm

intervals

Results

2.5s	17995×	body	80	valid
2.0s	17867×	body	80	nan