Details

sample125.0ms

Algorithm

intervals

Results

36.0ms	540×	body	80	nan
33.0ms	567×	body	80	valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	25	17
2	40	17
3	78	17
4	135	17
5	235	17
6	552	17
7	1554	17
8	4834	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)
19.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (* t t) 2.0)
44.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify934.0ms

Counts

71 → 71

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	150	1075
1	386	1029
2	1382	889
done	5002	861

prune164.0ms

Filtered

52 candidates to 71 candidates (-36.5%)

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)))

rewrite65.0ms

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:

18.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (exp (/ (* t t) 2.0))) (cbrt (exp (/ (* t t) 2.0)))))
24.0ms	(* (* (* (- (* 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)))

series181.0ms

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)))))
46.0ms	(* (* (* (- (* 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))))
19.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify931.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (242.0ms)

Iter	Nodes	Cost
0	201	3571
1	535	3309
2	1994	2517
done	5001	2517

prune363.0ms

Filtered

82 candidates to 129 candidates (-57.3%)

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

localize20.0ms

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)))

rewrite51.0ms

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))
17.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* 2 (/ (* t t) 2.0))) 1/3)) (cbrt (exp (/ (* t t) 2.0))))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 2 (/ (* t t) 2.0))
53.0ms	(* (* (- (* 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)))

simplify1.1s

Counts

119 → 119

Iterations

Useful iterations: 2 (445.0ms)

Iter	Nodes	Cost
0	256	2803
1	690	2518
2	2507	2133
done	5000	2133

prune314.0ms

Filtered

83 candidates to 119 candidates (-43.4%)

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))

rewrite43.0ms

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)
15.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt z))
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series84.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
51.0ms	(* (* (* (- (* 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))

simplify982.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (228.0ms)

Iter	Nodes	Cost
0	181	1588
1	475	1488
2	1789	1279
done	5000	1279

prune158.0ms

Filtered

69 candidates to 103 candidates (-49.3%)

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

regimes1.1s

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 (1.0ms)

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

sample125.0ms

simplify4.2s

prune4.0ms

localize13.0ms

rewrite35.0ms

series63.0ms

simplify934.0ms

prune164.0ms

localize17.0ms

rewrite65.0ms

series181.0ms

simplify931.0ms

prune363.0ms

localize20.0ms

rewrite51.0ms

series186.0ms

simplify1.1s

prune314.0ms

localize14.0ms

rewrite43.0ms

series84.0ms

simplify982.0ms

prune158.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.0s

Profiling