Details

sample92.0ms

Algorithm

intervals

Results

33.0ms	232×	body	80	nan
29.0ms	256×	body	80	valid

simplify152.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	18	28
1	31	22
2	52	22
3	68	22
4	88	22
5	102	22
6	106	22
done	106	22

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
0.3b	(/ (- (* (atan2 im re) (log base)) (* 0.0 (log (hypot re im)))) (fma (log base) (log base) (* 0.0 0.0)))
0.4b	(* (atan2 im re) (log base))
0.5b	(fma (log base) (log base) (* 0.0 0.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

0.0ms	(hypot re im)
23.0ms	(/ (- (* (atan2 im re) (log base)) (* 0.0 (log (hypot re im)))) (fma (log base) (log base) (* 0.0 0.0)))
17.0ms	(* (atan2 im re) (log base))
1.0ms	(fma (log base) (log base) (* 0.0 0.0))

series605.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(hypot re im)
88.0ms	(/ (- (* (atan2 im re) (log base)) (* 0.0 (log (hypot re im)))) (fma (log base) (log base) (* 0.0 0.0)))
52.0ms	(* (atan2 im re) (log base))
411.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify827.0ms

Counts

91 → 91

Iterations

Useful iterations: done (823.0ms)

Iter	Nodes	Cost
0	153	1628
1	329	1592
2	1301	1404
done	5001	1348

prune662.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (atan2 im re) (- (log base)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
12×	`associate-/r*`
9×	`pow1`
8×	`log-pow`
4×	`neg-mul-1`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 65

Calls

1 calls:

16.0ms

(/ (atan2 im re) (- (log base)))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(/ (atan2 im re) (- (log base)))

simplify1.9s

Counts

68 → 68

Iterations

Useful iterations: 3 (721.0ms)

Iter	Nodes	Cost
0	108	903
1	201	857
2	688	833
3	3734	828
done	5000	828

prune190.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- (log base)))
0.3b	(* (atan2 im re) (/ 1 (- (log base))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
57×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
50×	`add-cube-cbrt`
40×	`associate-r`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`pow1`
15×	`add-exp-log`
14×	`log-pow`
12×	`associate-/r*`
9×	`add-cbrt-cube`
7×	`neg-mul-1`
4×	`div-exp` `prod-exp`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 134

Calls

2 calls:

13.0ms	(/ 1 (- (log base)))
39.0ms	(* (atan2 im re) (/ 1 (- (log base))))

series353.0ms

Counts

2 → 6

Calls

2 calls:

287.0ms	(/ 1 (- (log base)))
66.0ms	(* (atan2 im re) (/ 1 (- (log base))))

simplify8.3s

Counts

140 → 140

Iterations

Useful iterations: done (8.3s)

Iter	Nodes	Cost
0	160	1500
1	378	1189
2	2974	1045
done	5000	1041

prune414.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (- (log base)) (atan2 im re))
0.6b	(/ 1 (/ (- (log base)) (atan2 im re)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

300×	`times-frac`
156×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
64×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
43×	`associate-/r*`
35×	`pow1`
32×	`log-pow`
16×	`neg-mul-1`
15×	`add-exp-log` `associate-/l*`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`neg-sub0` `pow-flip` `div-sub` `distribute-frac-neg` `associate-/r/` `inv-pow`

Counts

2 → 253

Calls

2 calls:

19.0ms	(/ (- (log base)) (atan2 im re))
23.0ms	(/ 1 (/ (- (log base)) (atan2 im re)))

series165.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (- (log base)) (atan2 im re))
92.0ms	(/ 1 (/ (- (log base)) (atan2 im re)))

simplify1.6s

Counts

259 → 259

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	307	4460
1	823	3773
2	4051	3669
done	5000	3667

prune473.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	10	8
done	10	8

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.6s	8000×	body	80	valid
1.3s	8096×	body	80	nan