Details

sample168.0ms

Algorithm

intervals

Results

70.0ms	564×	body	80	valid
44.0ms	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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

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)))

rewrite245.0ms

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:

18.0ms	(/ (* t t) 2.0)
172.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
5.0ms	(exp (/ (* t t) 2.0))
46.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* t t) 2.0)
238.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
30.0ms	(exp (/ (* t t) 2.0))
152.0ms	(* (- (* 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

prune367.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite181.0ms

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:

11.0ms	(pow (exp t) (/ t 2.0))
116.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
50.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series464.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(pow (exp t) (/ t 2.0))
273.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
124.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts

86 → 86

Iterations

Useful iterations: done (1.2s)

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

prune378.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite265.0ms

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:

13.0ms	(pow (exp t) (/ (/ t 2.0) 2))
147.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
29.0ms	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
66.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series559.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(pow (exp t) (/ (/ t 2.0) 2))
289.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
87.0ms	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
132.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.6s

Counts

183 → 183

Iterations

Useful iterations: done (1.6s)

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

prune767.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite296.0ms

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:

35.0ms	(pow (exp (+ t t)) (/ (/ t 2.0) 2))
192.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (+ t t)) (/ (/ t 2.0) 2)))
58.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series531.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(pow (exp (+ t t)) (/ (/ t 2.0) 2))
278.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (+ t t)) (/ (/ t 2.0) 2)))
183.0ms	(* (- (* 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

prune674.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes526.0ms

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

sample5.8s

Algorithm

intervals

Results

2.6s	17760×	body	80	valid
1.8s	17920×	body	80	nan