Details

sample129.0ms

Algorithm

intervals

Results

38.0ms	567×	body	80	valid
33.0ms	540×	body	80	nan

simplify673.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	25	17
2	40	17
3	79	17
4	137	17
5	238	17
6	558	17
7	1644	17
done	5000	17

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize13.0ms

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

rewrite35.0ms

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×	`times-frac` `associate-/r*` `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 → 62

Calls

3 calls:

5.0ms	(/ (* t t) 2.0)
14.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series64.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (* t t) 2.0)
45.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify545.0ms

Counts

71 → 71

Iterations

Useful iterations: done (543.0ms)

Iter	Nodes	Cost
0	150	1075
1	397	1033
2	1485	903
done	5000	862

prune167.0ms

Filtered

53 candidates to 71 candidates (-34.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
38×	`add-exp-log`
26×	`add-sqr-sqrt`
24×	`pow-prod-down`
23×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
19×	`cbrt-prod`
17×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/`
11×	`associate-l`
6×	`pow1/3` `swap-sqr`
5×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `sqrt-prod`

Counts

4 → 117

Calls

4 calls:

17.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0)))))
23.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))) (cbrt (exp (/ (* t t) 2.0))))
9.0ms	(* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0)))))
45.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))) (cbrt (exp (/ (* t t) 2.0))))
29.0ms	(* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0))))
18.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify685.0ms

Counts

129 → 129

Iterations

Useful iterations: done (681.0ms)

Iter	Nodes	Cost
0	201	3571
1	543	3362
2	2328	2568
done	5000	2517

prune375.0ms

Filtered

84 candidates to 129 candidates (-53.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	129	8	137

Merged error: 0.0b

Counts

137 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2 (/ (* t t) 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3))
0.0b	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3)) (cbrt (exp (/ (* t t) 2.0))))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
32×	`add-cbrt-cube`
30×	`prod-exp`
24×	`associate-r`
22×	`cbrt-unprod`
19×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/`
10×	`pow1`
8×	`associate-l`
4×	`pow-to-exp` `times-frac` `unpow1/3` `pow-exp` `*-commutative` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `flip3--` `pow-prod-down` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `div-exp`
1×	`associate-*r/` `sqrt-prod` `div-inv` `sqr-pow`

Counts

4 → 107

Calls

4 calls:

8.0ms	(* 2 (/ (* t t) 2.0))
13.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3))
16.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3)) (cbrt (exp (/ (* t t) 2.0))))
10.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 2 (/ (* t t) 2.0))
54.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3))
112.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3)) (cbrt (exp (/ (* t t) 2.0))))
18.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify730.0ms

Counts

119 → 119

Iterations

Useful iterations: done (726.0ms)

Iter	Nodes	Cost
0	256	2803
1	705	2555
2	2770	2160
done	5000	2145

prune345.0ms

Filtered

90 candidates to 119 candidates (-32.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	119	8	127

Merged error: 0.0b

Counts

127 → 8

localize14.0ms

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

rewrite47.0ms

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×	`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 → 91

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
19.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt z))
12.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series90.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (* t t) 2.0)
53.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
12.0ms	(* (- (* x 0.5) y) (sqrt z))
18.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify605.0ms

Counts

103 → 103

Iterations

Useful iterations: done (597.0ms)

Iter	Nodes	Cost
0	181	1588
1	490	1501
2	1974	1310
done	5001	1281

prune168.0ms

Filtered

73 candidates to 103 candidates (-41.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	102	9	111

Merged error: 0b

Counts

111 → 9

regimes1.2s

Accuracy

0% (0.3b 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	22	29
1	28	29
done	28	29

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.1s	18196×	body	80	nan
1.1s	18190×	body	80	valid

Details

sample129.0ms

simplify673.0ms

prune4.0ms

localize13.0ms

rewrite35.0ms

series64.0ms

simplify545.0ms

prune167.0ms

localize17.0ms

rewrite63.0ms

series179.0ms

simplify685.0ms

prune375.0ms

localize19.0ms

rewrite50.0ms

series187.0ms

simplify730.0ms

prune345.0ms

localize14.0ms

rewrite47.0ms

series90.0ms

simplify605.0ms

prune168.0ms

regimes1.2s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.0s

Profiling