Details

sample189.0ms

Algorithm

intervals

Results

87.0ms	578×	body	80	valid
37.0ms	585×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

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:

5.0ms	(exp (/ (* t t) 2.0))
11.0ms	(/ (* t t) 2.0)
134.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
57.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(exp (/ (* t t) 2.0))
34.0ms	(/ (* t t) 2.0)
240.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
155.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.6s

Counts

97 → 97

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	183	1294
1	494	1237
2	2570	1076
done	5000	1065

prune420.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite165.0ms

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:

6.0ms	(pow (exp t) (/ t 2.0))
108.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
48.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series444.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(pow (exp t) (/ t 2.0))
247.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
124.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.8s

Counts

92 → 92

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	192	1375
1	554	1278
2	2442	1148
done	5000	1144

prune453.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite186.0ms

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-l`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `log1p-expm1-u`
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 → 83

Calls

4 calls:

5.0ms	(exp (/ (* t t) 2.0))
13.0ms	(/ (* t t) 2.0)
36.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
129.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(exp (/ (* t t) 2.0))
34.0ms	(/ (* t t) 2.0)
110.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
186.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify1.4s

Counts

95 → 95

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	192	1350
1	534	1304
2	2682	1121
done	5000	1107

prune462.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite454.0ms

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:

11.0ms	(pow (exp t) (/ t 2.0))
299.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
52.0ms	(* (- (* x 0.5) y) (sqrt z))
86.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series658.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(pow (exp t) (/ t 2.0))
280.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
91.0ms	(* (- (* x 0.5) y) (sqrt z))
209.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify2.5s

Counts

127 → 127

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	218	1940
1	623	1783
2	3355	1589
done	5000	1565

prune456.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes594.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.4s	18318×	body	80	nan
1.8s	18174×	body	80	valid