Details

sample83.0ms

Algorithm

intervals

Results

29.0ms	271×	body	80	nan
24.0ms	256×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	28
1	44	28
2	163	28
3	833	28
4	3717	28
done	5000	28

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 5.0 (* v v))
0.2b	(* PI t)
0.5b	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.8b	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite692.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

20.0ms	(* 5.0 (* v v))
7.0ms	(* PI t)
52.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
605.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series1.2s

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 5.0 (* v v))
31.0ms	(* PI t)
329.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
817.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify2.0s

Counts

114 → 114

Iterations

Useful iterations: 2 (778.0ms)

Iter	Nodes	Cost
0	258	2497
1	751	2332
2	3627	2006
done	5000	2006

prune599.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI t)
0.5b	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.8b	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
2.7b	(log (exp (* 5.0 (* v v))))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`pow1`
10×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
8×	`flip3--` `sqrt-div` `associate-/r/` `flip--`
7×	`associate-r`
6×	`times-frac` `associate-/l*`
5×	`log-pow` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `associate-l` `pow-prod-down` `log1p-expm1-u` `distribute-lft-out--`
3×	`log-prod`
2×	`associate-l/` `-commutative` `associate-/l/` `difference-of-squares`
1×	`exp-prod` `exp-to-pow` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/r*` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

7.0ms	(* PI t)
37.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
187.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
10.0ms	(log (exp (* 5.0 (* v v))))

series1.2s

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI t)
343.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
743.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
40.0ms	(log (exp (* 5.0 (* v v))))

simplify1.9s

Counts

115 → 115

Iterations

Useful iterations: 2 (780.0ms)

Iter	Nodes	Cost
0	255	2799
1	723	2500
2	3529	2172
done	5000	2172

prune674.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.8b	(/ (+ (sqrt (* 5.0 (* v v))) (sqrt 1.0)) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
30.4b	(sqrt (* 5.0 (* v v)))
30.4b	(sqrt (* 5.0 (* v v)))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

52.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
108.0ms	(/ (+ (sqrt (* 5.0 (* v v))) (sqrt 1.0)) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
27.0ms	(sqrt (* 5.0 (* v v)))
39.0ms	(sqrt (* 5.0 (* v v)))

series868.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
442.0ms	(/ (+ (sqrt (* 5.0 (* v v))) (sqrt 1.0)) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
60.0ms	(sqrt (* 5.0 (* v v)))
63.0ms	(sqrt (* 5.0 (* v v)))

simplify1.5s

Counts

94 → 94

Iterations

Useful iterations: 2 (421.0ms)

Iter	Nodes	Cost
0	173	1893
1	478	1758
2	1966	1534
done	5000	1534

prune615.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) t)
0.6b	(/ (/ (+ (sqrt (* 5.0 (* v v))) (sqrt 1.0)) PI) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) t))
30.4b	(sqrt (* 5.0 (* v v)))
30.4b	(sqrt (* 5.0 (* v v)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

48.0ms	(* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) t)
101.0ms	(/ (/ (+ (sqrt (* 5.0 (* v v))) (sqrt 1.0)) PI) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) t))
15.0ms	(sqrt (* 5.0 (* v v)))
15.0ms	(sqrt (* 5.0 (* v v)))

series818.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) t)
549.0ms	(/ (/ (+ (sqrt (* 5.0 (* v v))) (sqrt 1.0)) PI) (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) t))
57.0ms	(sqrt (* 5.0 (* v v)))
38.0ms	(sqrt (* 5.0 (* v v)))

simplify1.4s

Counts

119 → 119

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	213	2943
1	507	2794
2	1816	2515
done	5000	2503

prune971.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes338.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	55
1	44	55
done	44	55

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.6s	8045×	body	80	nan
1.1s	8000×	body	80	valid