Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify1.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
done	6	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize7.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ (atan2 im re) (log 10.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

6.0ms

(/ (atan2 im re) (log 10.0))

series121.0ms

Counts

1 → 3

Calls

1 calls:

121.0ms

(/ (atan2 im re) (log 10.0))

simplify3.5s

Counts

34 → 34

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	52	371
1	84	354
2	176	330
3	326	330
4	548	330
5	866	330
6	2003	330
done	5000	330

prune96.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (atan2 im re) (sqrt (log 10.0)))
0.8b	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
85×	`times-frac`
52×	`*-un-lft-identity`
51×	`sqrt-prod`
46×	`add-cube-cbrt`
26×	`add-exp-log`
25×	`associate-r` `associate-l`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
14×	`pow1`
10×	`log-pow`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`div-inv` `associate-/l*`
2×	`rec-exp` `1-exp` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 132

Calls

2 calls:

13.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
75.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series211.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
84.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify3.8s

Counts

138 → 138

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	157	2334
1	381	2061
2	1138	1696
3	2989	1696
done	5000	1600

prune437.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
0.8b	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log`
46×	`times-frac`
43×	`add-sqr-sqrt`
40×	`prod-exp`
33×	`*-un-lft-identity`
31×	`add-cube-cbrt`
28×	`associate-l` `add-cbrt-cube`
26×	`associate-r` `sqrt-prod`
20×	`div-exp`
15×	`pow1`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
6×	`cbrt-undiv` `log-pow`
5×	`associate-*r/` `unswap-sqr`
4×	`pow-prod-down`
3×	`un-div-inv`
2×	`frac-times` `*-commutative` `div-inv` `add-log-exp`
1×	`associate-*l/`

Counts

2 → 117

Calls

2 calls:

45.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
104.0ms	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series229.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
96.0ms	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify8.8s

Counts

123 → 123

Iterations

Useful iterations: 2 (208.0ms)

Iter	Nodes	Cost
0	157	1989
1	353	1462
2	911	993
3	2141	993
4	4467	993
done	5000	993

prune229.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b

(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))

0.1b

(/ (atan2 im re) (sqrt (log 10.0)))

0.8b

(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

129×	`sqrt-prod`
117×	`add-sqr-sqrt`
108×	`times-frac`
69×	`*-un-lft-identity`
63×	`add-cube-cbrt`
56×	`associate-l`
26×	`associate-r`
23×	`pow1`
19×	`add-exp-log` `add-cbrt-cube`
18×	`unswap-sqr`
13×	`log-pow`
10×	`sqrt-div`
7×	`prod-exp` `associate-/r*` `cbrt-unprod`
6×	`frac-times` `associate-*r/`
4×	`pow-prod-down` `associate-*l/` `div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `clear-num`

Counts

3 → 182

Calls

3 calls:

68.0ms

(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))

9.0ms

(/ (atan2 im re) (sqrt (log 10.0)))

131.0ms

(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

series697.0ms

Counts

3 → 9

Calls

3 calls:

437.0ms

(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))

159.0ms

(/ (atan2 im re) (sqrt (log 10.0)))

100.0ms

(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

simplify2.8s

Counts

191 → 191

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	200	3731
1	456	3223
2	1368	2812
done	5000	2726

prune653.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	21	39
1	26	35
done	26	35

end0.0ms

sample788.0ms

Algorithm

intervals

Results

562.0ms

8000×

body

valid