Details

sample147.0ms

Algorithm

intervals

Results

48.0ms	619×	body	80	valid
35.0ms	633×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2095
6	679
5	324
4	182
3	88
2	41
1	25
0	15

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize40.0ms

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

110.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
7.0ms	(exp (/ (* t t) 2.0))
5.0ms	(sqrt (* z 2.0))
44.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
25.0ms	(exp (/ (* t t) 2.0))
70.0ms	(sqrt (* z 2.0))
166.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	2240
1	475
0	181

prune581.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`-un-lft-identity` `associate-l/` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod` `sqrt-prod`
5×	`associate-l` `add-log-exp`
3×	`times-frac` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

4.0ms	(exp (/ (* t t) 2.0))
143.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
25.0ms	(* (- (* x 0.5) y) (sqrt z))
50.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series555.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(exp (/ (* t t) 2.0))
274.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
92.0ms	(* (- (* x 0.5) y) (sqrt z))
163.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	2245
1	439
0	170

prune598.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite643.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-r`
12×	`add-sqr-sqrt` `associate-*l/`
11×	`pow-prod-down`
10×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
8×	`sqrt-prod`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`sqrt-pow1`
1×	`pow1/2` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

147.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
437.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
6.0ms	(sqrt (* z 2.0))
51.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0))))
177.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
67.0ms	(sqrt (* z 2.0))
119.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3156
1	591
0	209

prune655.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-r`
22×	`sqrt-prod`
20×	`pow1` `add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-*l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod`
5×	`associate-l` `add-log-exp`
3×	`times-frac` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 94

Calls

4 calls:

4.0ms	(exp (/ (* t t) 2.0))
23.0ms	(* (- (* x 0.5) y) (sqrt z))
149.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
58.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(exp (/ (* t t) 2.0))
64.0ms	(* (- (* x 0.5) y) (sqrt z))
140.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
159.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	2378
1	485
0	187

prune632.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.5s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.0s	17656×	body	80	nan
1.9s	17876×	body	80	valid