Details

sample169.0ms

Algorithm

intervals

Results

54.0ms	562×	body	80	valid
42.0ms	574×	body	80	nan

simplify3.0s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 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)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

10.0ms	(/ (* t t) 2.0)
123.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
44.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series311.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (* t t) 2.0)
175.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
109.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts

77 → 77

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	166	1141
1	425	1087
2	1419	934
done	5000	907

prune299.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite367.0ms

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:

10.0ms	(/ (* t t) 2.0)
227.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
50.0ms	(* (- (* x 0.5) y) (sqrt z))
78.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series499.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* t t) 2.0)
252.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
75.0ms	(* (- (* x 0.5) y) (sqrt z))
142.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.2s

Counts

111 → 111

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	190	1674
1	479	1562
2	1702	1336
done	5000	1302

prune425.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
0.4b	(* (sqrt 2.0) (sqrt z))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

13.0ms	(/ (* t t) 2.0)
171.0ms	(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
60.0ms	(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
24.0ms	(* (sqrt 2.0) (sqrt z))

series603.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (* t t) 2.0)
262.0ms	(* (* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z))) (exp (/ (* t t) 2.0)))
202.0ms	(* (- (* x 0.5) y) (* (sqrt 2.0) (sqrt z)))
96.0ms	(* (sqrt 2.0) (sqrt z))

simplify1.7s

Counts

114 → 114

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	200	1617
1	515	1503
2	1845	1293
done	5000	1250

prune500.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (* z 2.0)))
0.1b	(sqrt (sqrt (* z 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
0.3b	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
19×	`pow1`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`sqrt-pow1`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `pow1/2` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

8.0ms	(sqrt (sqrt (* z 2.0)))
8.0ms	(sqrt (sqrt (* z 2.0)))
70.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
191.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

series889.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(sqrt (sqrt (* z 2.0)))
249.0ms	(sqrt (sqrt (* z 2.0)))
207.0ms	(* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0))))
137.0ms	(* (* (- (* x 0.5) y) (sqrt (sqrt (* z 2.0)))) (sqrt (sqrt (* z 2.0))))

simplify3.0s

Counts

103 → 103

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	147	1453
1	385	1191
2	1198	1060
3	3889	1033
done	5001	1029

prune568.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes714.0ms

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	15	17
1	19	17
done	19	17

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.6s	17896×	body	80	valid
2.3s	18231×	body	80	nan