Details

sample123.0ms

Algorithm

intervals

Results

44.0ms	564×	body	80	valid
28.0ms	510×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	25	17
2	41	17
3	88	17
4	161	17
5	265	17
6	587	17
7	1717	17
done	5001	17

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

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)))

rewrite277.0ms

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:

17.0ms	(/ (* t t) 2.0)
174.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
9.0ms	(exp (/ (* t t) 2.0))
72.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
247.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
20.0ms	(exp (/ (* t t) 2.0))
168.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	175	1210
1	435	1141
2	1407	988
done	5000	964

prune400.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite192.0ms

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:

7.0ms	(pow (exp t) (/ t 2.0))
127.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
56.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series439.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(pow (exp t) (/ t 2.0))
241.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
143.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.1s

Counts

86 → 86

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	186	1303
1	482	1202
2	1546	1087
done	5001	1063

prune411.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) (/ (/ t 2.0) 2))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
0.0b	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
65×	`add-sqr-sqrt`
58×	`prod-exp`
56×	`add-exp-log`
51×	`add-cube-cbrt` `*-un-lft-identity`
43×	`pow-unpow`
21×	`unpow-prod-down`
20×	`add-cbrt-cube`
19×	`pow-to-exp` `pow-exp`
12×	`pow1` `associate-r`
11×	`associate-l` `sqr-pow`
10×	`cbrt-unprod` `unswap-sqr`
7×	`swap-sqr`
6×	`associate-*l/`
5×	`pow-prod-down`
4×	`pow-pow` `div-inv` `add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`flip3--` `flip--`
1×	`pow2` `sqrt-prod` `pow-sqr` `pow-prod-up`

Counts

4 → 171

Calls

4 calls:

18.0ms	(pow (exp t) (/ (/ t 2.0) 2))
197.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
48.0ms	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
53.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(pow (exp t) (/ (/ t 2.0) 2))
232.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
77.0ms	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
125.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.9s

Counts

183 → 183

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	323	3907
1	811	2754
2	2574	2459
done	5001	2397

prune946.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp (+ t t)) (/ (/ t 2.0) 2))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (+ t t)) (/ (/ t 2.0) 2)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`add-cube-cbrt`
43×	`pow-unpow`
16×	`add-exp-log`
13×	`pow-pow`
12×	`exp-prod` `associate-r`
10×	`prod-exp` `add-cbrt-cube`
8×	`unpow-prod-down`
6×	`pow1` `associate-*l/`
4×	`associate-l` `cbrt-unprod` `div-inv`
3×	`pow-to-exp` `distribute-rgt-out` `pow-exp` `distribute-lft-out` `add-log-exp`
2×	`flip3--` `exp-sum` `*-commutative` `flip--` `sqr-pow`
1×	`distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `sqrt-prod` `unswap-sqr`

Counts

3 → 118

Calls

3 calls:

28.0ms	(pow (exp (+ t t)) (/ (/ t 2.0) 2))
147.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (+ t t)) (/ (/ t 2.0) 2)))
60.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series466.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(pow (exp (+ t t)) (/ (/ t 2.0) 2))
274.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (+ t t)) (/ (/ t 2.0) 2)))
116.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.7s

Counts

127 → 127

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	276	2135
1	748	1943
2	2315	1822
done	5000	1730

prune535.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes534.0ms

Accuracy

0% (0.2b 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	18	21
1	22	21
done	22	21

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.5s	17920×	body	80	nan
2.2s	17760×	body	80	valid