Details

sample139.0ms

Algorithm

intervals

Results

38.0ms	655×	body	80	nan
30.0ms	583×	body	80	valid

simplify2.9s

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	183	17
5	315	17
6	659	17
7	1863	17
done	5000	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(/ (* t t) 2.0)
0.2b	(sqrt (* z 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`pow1` `add-exp-log`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `sqrt-pow1` `div-exp` `sqrt-prod` `*-commutative` `flip--`
1×	`frac-2neg` `pow1/2` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

122.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
19.0ms	(/ (* t t) 2.0)
9.0ms	(sqrt (* z 2.0))
72.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series500.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
34.0ms	(/ (* t t) 2.0)
57.0ms	(sqrt (* z 2.0))
135.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	202	1279
1	527	1209
2	1689	1043
done	5001	1007

prune440.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite428.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`add-exp-log`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

258.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
21.0ms	(/ (* t t) 2.0)
52.0ms	(* (- (* x 0.5) y) (sqrt z))
95.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series603.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
45.0ms	(/ (* t t) 2.0)
106.0ms	(* (- (* x 0.5) y) (sqrt z))
174.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	190	1674
1	479	1562
2	1713	1336
done	5000	1302

prune447.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-r`
22×	`sqrt-prod`
20×	`pow1`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 108

Calls

4 calls:

15.0ms	(/ (* t t) 2.0)
45.0ms	(* (- (* x 0.5) y) (sqrt z))
84.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
223.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* t t) 2.0)
90.0ms	(* (- (* x 0.5) y) (sqrt z))
202.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
182.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify1.3s

Counts

120 → 120

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	199	1755
1	507	1500
2	1733	1283
done	5000	1267

prune629.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

49×	`sqrt-prod`
39×	`associate-r`
34×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
20×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
18×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 125

Calls

4 calls:

48.0ms	(* (- (* x 0.5) y) (sqrt z))
934.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
61.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
231.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))

series1.5s

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (- (* x 0.5) y) (sqrt z))
247.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
274.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
811.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))

simplify1.8s

Counts

137 → 137

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	214	2812
1	579	2374
2	2090	1852
done	5000	1818

prune662.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes627.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	23
1	23	23
done	23	23

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.2s	18027×	body	80	valid
1.2s	18291×	body	80	nan